Country NOW A NEW ANALYSIS FINDS ONE OF THESE DRUGS IS THE CLEAR WINNER IN GETTING RESULTED AND MOUNJARO CAN DECREASE HOW MUCH FOOD YOU EAT NOW A NEW REPORT SUGGESTS ONE OF THESE DRUGS IS FAR MORE EFFECTIVE IN HELPING PEOPLE SLIM DOWN THE ANALYSIS. Looked AT REAL WORLD DATA FROM 18 000 OVERNIGHT ADULTS USING MOUNJARO OR OZEMPIC OVER A YEAR MORE THAN TWO AND A HALF TIMES MORE LIKELY TO LOSE 10 OF THEIR BODY WEIGHT, WHILE NOT A PEER REVIEWED STUDY.
This ECHOED PREVIOUS RESEARCH THAT SOUND MOUNJARO MORE EFFECTIVE WITH HELPING PEOPLE WITH WEIGHT LOSS.
Those ARE FDA APPROVED ONLY FOR TYPE TWO DIABETES, NOT WEIGHT LOSS.
I HAVE LOST 17 POUNDS IN EIGHT WEEKS, BUT DEMAND IS SOARING AS MORE PATIENTS USE THEM OFF LABEL.
Doctors SAY THEY WORK BY MIMICS HORMONES IN THE GUT TIED TO APPETITE.
Mounjaro IS WORKING ON TWO HORMONES AND OZEMPIC IS WORKING ON ONE HORMONE.
You ARE GETTING MORE BANG FOR THE BUCK.
After STRUGGLING WITH OBESITY, HER WHOLE LIFE TARA JOINED A CLINICAL TRIAL FOR MOUNJARO TWO YEARS IN SHE,’S LOST MORE THAN 100 POUNDS.
You’RE.
Having MORE OF THAT FEELING OF SATISFACTION OF ENJOYMENT. You KNOW YOU HAVE A FEW BITES OF SOMETHING AND YOU FEEL FULL ELI LILLY.
The MAKER OF MOUNJARO WILL RELEASE A VERSION APPROVED FOR WEIGHT LOSS.
The MAKER OF OZEMPIC NOVO NORDIS, SAID IT IS ONLY USED TO STREET DIABETES EXPERTS CAUTION.
The SAFETY OF THESE DRUGS IS STILL UNKNOWN IN HEALTHY PEOPLE WHO JUST WANT TO LOSE A FEW POUNDS.
They COULD HAVE SIDE EFFECTS LIKE GASTRO, INTESTINAL, DEFENSE, NAUSEA AND VOMITING.
They ONLY CURB HUNGER WHILE USED FOR THOSE PATIENTS.
When YOU STOP THE MEDICATION, YOU WILL REGAIN ROUGHLY TWO THIRDS OF THAT WEIGHT.
This IS NOT A MEDICATION THAT WILL RESET YOU FOR LIFE.
As WITH ANY MEDICATION, OF COURSE, EXPERTS SAY YOU SHOULD ONLY USE THEM UNDER THE GUIDANCE OF A DOCTOR WHO IS FAMILIAR WITH THE RISKS AND SIDE EFFECTS.
Eli LILLY SAYS IT DISCOURAGES ANY OFF LABEL USE. The COST IS KIND OF HIGH.
Does INSURANCE PAY FOR IT? Hundreds OF DOLLARS A WEEK IN SOME CASES HERE INSURANCE WILL PAY FOR IT IF YOU ARE DIAGNOSED WITH DIABETES, BUT INSURANCE DOESN’T COVER IT FOR WEIGHT LOSS.
Unless YOU HAVE HIGH CHOLESTEROL OR OTHER THINGS GOING ON.
If THERE ARE PILL FORMS, WILL THEY COST LESS INJECTABLE DRUGS ARE VERY EFFECTIVE AND WILL MEDICARE BE ABLE TO COVER THESE MEDICARE IS BARRED FROM COVERING WEIGHT LOSS DRUGS BECAUSE REMEMBER THE PHEN PHEN DRAMA CONGRESS, DOESN’T ALLOW MEDICARE TO PAY FOR WEIGHT LOSS DRUGS, BUT It COULD BE AN EXCITING GAME.
If you know one thing about quantum mechanics it s that Schr dinger s cat is both dead and alive. This is what physicists call a superposition, But what does this really mean And what does it have to do with entanglement? This is what we will talk about today.
The key to understanding superpositions is to have a look at how quantum mechanics works.
In quantum mechanics, there are no particles and no waves and no cats either.
Everything is described by a wave function, usually denoted with the Greek letter.
Psi Psi is a complex, valued function and from its absolute square you calculate the probability of a measurement outcome, for example whether the cat is dead or whether the particle went into the left, detector and so on.
But how do you know what the wave function does We have an equation for this, which is the so called Schr dinger equation, Exactly how this equation looks.
Like is not so important.
The important thing is that the solutions to this equation are the possible things that the system can do, And the Schr dinger equation has a very important property.
If you have two solutions to the equation, then any sum of those two solutions with arbitrary pre factors is also a solution And that s what is called a superposition It s a sum with arbitrary pre factors.
It really sounds more mysterious than it is. It is relevant because this means, if you have two solutions of the Schroedinger equation, that reasonably correspond to realistic situations, then any superposition of them also reasonably corresponds to a realistic situation.
This is where the idea comes from that if the cat can be dead and the cat can be alive, then the cat can also be in a superposition of dead and alive, Which some people interpret to means it s neither dead nor alive, but somehow, both until You measure it Personally, I am an instrumentalist and I don t assign any particular meaning to such a superposition.
It s merely a mathematical tool to make a prediction for a measurement outcome.
Having said that, talking about superpositions is not particularly useful, because superposition is not an absolute term.
It only makes sense to talk about superpostions of something.
A wave function can be a superposition of say two different locations, But it makes no sense to say it is a superposition period To see why let us stick with the simple example of just two solutions: Psi 1 and Psi 2.
Now let us create two superpositions that are a sum and a difference of the two original solutions: Psi 1 and Psi 2.
Then you have two new solutions: let us call them Psi 3 and Psi 4.
But now you can write the original Psi 1 and Psi 2 as a superposition of Psi 3 and Psi 4, So which one is a superposition.
Well, there is no answer to this. Superposition is just not an absolute term.
It depends on your choice of a specific set of solutions.
You could say, for example, that Schrodinger s cat is not in a superposition of dead and alive, but that it is instead in the not superposed state dead and alive And that s mathematically, just as good So superpositions are sums with prefactors, and it only makes sense To speak about superpositions of something In some sense, I have to say: superpositions are really not terribly interesting.
Much more interesting is entanglement, which is where the quantum ness of quantum mechanics really shines To understand entanglement.
Let us look at a simple example.
Suppose you have a particle that decays, but that has some conserved quantity.
It doesn t really matter what it is, but let s say it s: the spin.
The particle has spin zero and the spin is conserved.
This particle decays into two other particles, one flies to the left and one to the right, But now let us assume that each of the new particles can have only spin plus or minus 1.
This means that either the particle going left had spin plus 1 and the particle going left had spin minus one Or it s the other way round. The particle going left had spin minus one and the particle going right had spin plus one In this case.
Quantum mechanics tells you that the state is in a superposition of the two possible outcomes of the decay.
But – and here is the relevant point now – the solutions that you take a superposition of each contain two particles Mathematically.
This means you have a sum of products of wave functions And in such a case we say that the two particles are entangled.
If you measure the spin of the one particle, this tells you something about the spin of the other particle The two are correlated.
This looks like it s, not quite local, but we will talk about just how quantum mechanics is local or not some other time.
For today, the relevant point is that entanglement does not depend on the way that you select solutions to the Schroedinger equation.
A state is either entangled or it is not, And while entanglement is a type of superposition.
Not every superposition is also entangled A curious property of quantum mechanics is that superpositions of macroscopic non quantum states like the dead and alive cat quickly become entangled with their environment, which makes the quantum properties disappear in a process called decoherence.
We will talk about this. Some other time so stay tuned.
Thanks for watching see you next week, Oh and don t forget to subscribe.
Welcome back to, Understanding Quantum Information. And Computation My. Name, is John Watrous and I’m? The technical director of Education at IBM? Quantum, This is the second lesson of the series If you haven 39. T already watched the first lesson be sure to check it out. We’ll be building directly on what we talked about in the first lesson, so it’s important to have an understanding of that material. Going into this lesson Also be aware that the series includes textbook content in addition to videos, and you can find a link to the textbook content in the video description. This is lesson two of unit one of the series Unit. One covers the basics of quantum information. In the previous lesson, we talked about quantum information in the setting of single systems, meaning that we have one system that stores information and we’re describing how it works in isolation. We spent a fair amount of time on classical information, mainly to establish a point of reference and to highlight the mathematical similarities between quantum and classical information. We also saw how quantum states can be represented by vectors, specifically vectors having complex number entries and Euclidean norm equal to one and we discussed standard basis, measurements and unitary operations. In this lesson, we’re gon na expand our view to multiple systems, each of which is capable of storing quantum information. This is not simply a matter of saying that each individual system works as we discussed last time. There is a sense in which the hole is greater than the sum of the parts, and that’s also true of classical information. When probabilities are involved, Multiple systems can interact with one another and they can be correlated with one another, for instance, and in the quantum setting. This includes the possibility that the systems are entangled, which is a term that you may have heard about before. Entanglement is a very important phenomenon in quantum information, and we’ll have a lot more to say about it, as the series continues. There is a simple principle, however, that offers us quite a lot of traction for thinking about and understanding quantum information for, multiple systems, and that is that we can always take two or more systems and put them together or just conceptually think about them together and view Them as if they form a single compound system, And when we think about a compound system like this, as if it’s a single system, we recognize that it must be described in a way that’s consistent with everything we learned in the previous lesson. On single systems, We’ll see how this works and how the description of quantum information from multiple systems emerges, pretty naturally from how it works for single systems. Based on this one principle, Here’s an overview of the lesson and it happens to be identical to the previous lessons overview. But this time our focus will be on multiple systems rather than single systems. Just like we did in the previous lesson and for exactly the same reasons, we’re going to start with classical information. Once again, we’ll see very close similarities between the way that quantum and classical information work. At a mathematical level, We won’t. Typically, focus so much on classical information or start each lesson in the series with classical information like this, Subsequent lessons will tend to be focused much more exclusively on quantum information and computation, But here at the beginning this is a sensible approach and it goes back to The idea that thinking about classical information can serve as a valuable source of guidance for understanding quantum information. We’re also gon na discuss the important concept of a tensor product in this part of the lesson. Tensor products are critically important in quantum information, but they also arise in the classical setting. Then we’ll move on to quantum information and much like in the previous lesson. We’ll discuss quantum states, standard basis, measurements and unitary operations. This time for multiple systems. We’ll start by talking about classical states of multiple systems, Recall from the previous lesson that a classical state of a system is a configuration of that system that can be recognized and described unambiguously without any uncertainty or error, And in mathematical terms, when we refer To a classical state set, we just mean a finite and non empty set. We’ll begin our discussion of multiple systems by supposing that we have just two systems X and Y X has some set of classical states, which we’ll call sigma. Just like in the previous lesson and y has some set of classical states that we’ll call gamma The set sigma and gamma could be the same set or they could be different, but we’re giving them different names, not only because they could be Different sets, but also because it’ll help us to keep things clear. If we give them different names, We’ll find that it’s pretty easy to generalize this entire discussion from two systems to any number of systems, but by starting with two systems. We can focus on the fundamental ideas without getting bogged down in details. Now. Imagine that we put X and Y side by side with X in the left and Y on the right, and we view these two systems together, as if they form a single compound system. To give this new system a name, we can write it as an ordered pair like this, or we can just juxtapose the two letters like this. These are both common and we can pick whichever one we want, or whichever one is more convenient, Either way we’ll, read it as XY. A very natural question to ask at this point is: what are the classical states of this new compound system XY, And the answer to that question is that the classical state set of XY is the Cartesian product of the two classical state sets sigma and gamma, which You can see defined right here At a given moment. X has some classical state, which is an element of sigma and Y, has some classical state, which is an element of gamma, and we’re simply thinking about these two states, together as if they form a single state and that’s precisely the notion that The Cartesian product captures, We have have two elements, one from each of our sets, and we want to think about these two elements together as if they form a single element from a single set. To be clear. There is an assumption here, which is that we know which one of our systems is X and which one is Y, and there’s no confusion between them. It’s, not important. That X is physically. On the left, hand, side and Y is on the right, but rather that the two systems are distinguishable and that we’ve decided to order them this way, just so that we can keep straight, which one is which Here’s. A very simple example where sigma is the binary alphabet and gamma is the set containing the four card suits If X, stores, a binary value and Y stores, one of the four card suits. Then there are eight possible classical states of the pair XY, which you can see listed right here For more than two systems. This generalizes in a straightforward way, In particular, if X1 through Xn, are systems having classical state sets sigma one through sigma n respectively. Then, if we imagine grouping the n systems together and viewing them as one system, the classical state set is given by the Cartesian product of the n, classical state sets sigma one through sigma n. As you can see right here on the screen, The Cartesian product can be defined like this for any number of sets. For example, if we have three systems and they all share the binary alphabet as their classical state set. So in other words, we have three bits. Then there are eight possible classical states of the three bits viewed together as a single system, and you can see them listed right here. Each system individually can be in the state, zero or one, and we range over all of the possible combinations. An n tuple of classical states can, alternatively, be written as a string where we drop the parentheses and the comma, like you see right here, And this is particularly sensible when we think about classical states as symbols, as in the very common example of the binary alphabet, That we keep coming back to Sometimes it’s very convenient to do this, and it tends to make our expressions simpler and less cluttered. The notion of a string is in fact formalized in mathematical terms through carte and products. So this is really just an alternative. Notation and not something conceptually different As an example, let’s say that we have 10 bits X1 through X10. That means that the classical state set of the 10 bits together, which you might naturally think about as a 10 bit register in a computer, for example, is the tenfold Cartesian product of the binary alphabet with a self, And if we write those states like strings, they Look like you see right here: there’s 1 024 of them. So of course they’re not all listed here. These three dots right here are supposed to indicate that there’s a pattern that you can deduce, and hopefully you get the idea Now there’s a convention that we’re going to follow for ordering the the elements of Cartesian product sets and it’s important to clarify this, for the sake of representing both probabilistic states and quantum states as vectors. The convention is that we order the elements of Cartesian product sets, lexicographically, which basically just means dictionary ordering To be more specific. We start with the assumption that each of the individual sets that we’re taking the Cartesian product of already has its own ordering and we think about a given n, tuple or a string as if it’s a word and we order them alphabetically. Another way to say this is that the positions within an n tuple or a string decrease in significance from left to right, just like when we write numbers using the digits zero through nine Here’s, an example that’s meant to clarify this. If we take the Cartesian product between the sets containing one two and three and the binary alphabet, we get a set containing six elements, and here they’re, listed in the order that’s being described. All of the elements with a one. In the first position, come before all of the elements with a two in the first position and they come before all of the elements with a three in the first position And whenever two elements agree in the first position, we fall back on the ordering in the Second position So that’s the ordering that we use for Cartesian products, Notice that when we use this convention and we write n tuple as strings, we observed some very familiar patterns. For example, the Cartesian product of the binary alphabet with itself is ordered. Like you see right here, and you can think about these strings as being ordered, numerically, if you take these strings as binary encodings of non negative mixtures and this generalizes to any string length Moving on to probabilistic states, we already know from the previous lesson that a Probabilistic state associates a probability with each classical state of a given system. If we have a compound system where we’ve taken two or more systems – and we’re viewing them collectively as if they form a single system like we just discussed, then a probabilistic state of this compound system must assign probabilities to the elements of the Cartesian product of the individual systems classical state sets That’s, because that is the classical state set of the compound system. For instance, supposing that X and Y are bits we have this example of a probabilistic state of XY. The probability that both bits are zero is one half and the probability that both bits are one is one half, and so the two bits never disagree. It’s a valid probabilistic state of XY, and we can, alternatively, write it as a vector like you see right here, and here you can see that we are following the convention that I described a moment ago for ordering these classical states. This is an example of a probabilistic state where X and Y are correlated, and this is the sense in which the hole is greater than the sum of the parts, As I suggested before it’s. Not simply that we have a probabilistic state of X and a probabilistic state of Y, and we put them together, but rather we first put the systems together and then we think about probabilistic states of the compound system To be more precise, about correlations among systems. We start by defining the notion of independence, which is essentially the absence of correlation Here. By the way, the term independence refers to statistical independence as opposed to linear independence of vectors, for instance, It’s fundamental notion in probability and statistics. If we have two systems X and Y – and we have some probabilistic state of XY in mind, then we say that X and Y are independent. If the formula that you see right here is true for every choice of classical states, a and b of X and Y, One way to interpret this condition of independence is that it says that the probability for X to be in any one classical state and the Probability for Y to be in some other classical state have absolutely nothing to do with one another, So learning what state one of the systems is in doesn’t affect the probabilities associated with the states of the other system. If you imagine randomly choosing some classical state of X according to some procedure and then randomly choosing some classical state of Y, according to some other procedure, that isn’t in any way connected to the one for X, like say if one person flips a coin And another person in a different room rolls a die. Then this is the formula that you would use to get the probabilities for different combinations of states to appear. The point of the definition is that independence is when the formula is valid When we think about probabilistic states in terms of probability vectors. There’s a simple formulation of this condition, specifically if we have a probabilistic state of XY, which we can express as a vector in the direct notation. As you see right here, Then, to say that X and Y are independent is equivalent to the existence of two probability: vectors cat Phi and cat Psi, which, by the way, we can simply read as Phi and Psi for the sake of brevity, representing probabilistic states of X and Y separately that satisfy this equality that you see right here For all choices of a and b it’s, essentially a rephrasing of the definition in terms of vectors. For example, here’s, a probabilistic state of a pair of bits, XY for which X and Y are independent. The condition that’s required for independence is true for the vectors that you see right here. That is the probability for each possible setting, for the two bits is given by the product of the corresponding probabilities for the individual bits. For instance, the probability for both bits to take the value. Zero is equal to one sixth, which is equal to one quarter times. Two thirds, and likewise for the other three possibilities which can be checked one at a time For the probabilistic state we saw earlier. On the other hand, where we have two bits that always agree and take the values: zero and one with probability, one half we don’t have independence and that’s, why we say that the bits are correlated Correlation simply means a lack of independence. A simple way to argue that the two bits are not independent is to suppose that they are and to derive a contradiction specifically if the two bits were independent, there would have to exist numbers q0, q1, r0 and r1 representing probabilities for the two individual bits, so That these equations right here are satisfied. These are the probabilities that come from our vector, and these are the equations that must be true by the condition of independence. But if we take a look at this second equality right here, we see that it demands that q0 times. R1 is equal to zero, but the only way that the product of two real numbers can possibly be equal to zero is if at least one of those numbers itself is equal to zero. This is sometimes called the zero product property of the real numbers. Another way to say it is that the product of two non zero real numbers is always non zero, So this equality right here implies that either q0 is equal to zero or r1 is equal to zero, but from the first and the last equalities we see that Neither of those two alternatives can possibly be true. If q0 is equal to zero, then this product must equal zero, but it’s not equal to zero, and if r1 is equal to zero, then this product must be equal to zero, but that’s not true either. So we have a contradiction and we conclude that X and Y are not independent, so they’re correlated The notion of independence that we just discussed and specifically is formulation in terms of probability. Vectors is closely connected to an operation that can be performed on vectors known as the tensor product. Tensor products can be defined not only for vectors, but also for matrices, and in fact the notion of a tensor product can be defined for many other sorts of mathematical objects as well. They can be described in a pretty abstract way that’s both important and useful in pure mathematics, but we can also define tensor products for vectors in a very simple and concrete way, and that’s the path that we’ll take in this lesson, If we have two column, vectors, Phi and Psi written in the forms that you see here, where sigma and gamma are any choice of classical state sets, we like or indices, if you prefer, then the tensor product of these vectors is the vector that you see right Here We range over all elements of the Cartesian product of the two sets sigma and gamma, and the entry of this vector that corresponds to each pair ab, which is written as a string. Right here is equal to the product of the corresponding entries of these two vectors. In other words, the ab entry of Phi tensor. Psi is the product of the a entry of Phi and the b entry of Psi, and that’s the meaning of what’s written down here. In essence, this is the same operation that we just saw a few moments ago when we discussed independence, and now we’re just giving a name to it Here,’s exactly the same example that we saw a moment ago, written more explicitly in terms of The tensor product – Again we have that one sixth is equal to one quarter times one third, one 12th is equal to one quarter times. One third and so on Here by the way, are a couple of alternative ways to write the tensor product of two vectors. When we’re using the direct notation – and we write two cats next to each other like this, it means the tensor product. So you can think about the tensor product as kind of being the default way to multiply to column vectors together. It wouldn’t make any sense to think about a product of column. Vectors like this in terms of matrix multiplication, because the dimensions don’t work right. So there’s really no concern about ambiguity here. We can also write the tensor product like this. Inside of a cat – and it means exactly the same thing – It’s the tensor product of the two vectors, The first one is very common and in fact it’s, perhaps more common to write a tensor product like this. Without the tensor product symbol than it is to include the symbol, The second one is definitely much less common, but it is sometimes quite helpful, mainly as a way to eliminate the need for additional parentheses. In certain situations. We can also express tensor products explicitly in terms of actual columns of numbers, as you see right here. If we take the tensor product of these two column vectors right here, then this is the vector that we obtain, and you can see that the entries here are products of the entries coming from these two vectors. The ordering of the entries of the tensor product is consistent with the definition from a moment ago, provided that we follow the convention that I described earlier for ordering the elements of Cartesian product sets Following that convention is equivalent to thinking about the indices of the first Vector as having higher significance than the indices of the second vector, so you can see that as we go through the entries of the tensor product, we have all of the products involving the first entry of the first vector on the left, which is alpha one. Then all of the products involving the second entry of the vector on the left, which is alpha two and so on Here,’s, an example where the vector on the left has three entries and the vector on the right has four entries. So we can see more clearly what’s going on. We have three entries in the first vector, so we start by writing down three copies of the second vector, and then we multiply each one of those copies by the corresponding entry in the first vector like this, We bring the alphas inside like this, and here we’re just multiplying vectors by scalers and finally, we remove the parentheses from the copies and we form a single column vector, like you, see right here As an important aside notice that we have the following formulas for the tensor product of standard basis. Vectors. If we take the tensor product of cat, a and cat b, which we can write with the tensor product symbol or without, as you see here, then the result is simply cat ab. If we want to write ab as an ordered pair rather than a string, we can do that and we obtain this expression right here, but it’s a lot more common to write this right here where we emit the parenthesis. But we leave the comma. There is a sense in which this one with the parenthesis is perhaps more correct, but it’s a pretty standard convention in mathematics that parentheses are removed when they aren’t necessary or helpful. You can think about them as being implicit in this one right here and it’s. Just less cluttered and nicer to look at The tensor product has an important property, which is that it’s bilinear, and what that means is that it’s, linear in each of the two arguments, provided that the other one is fixed In a bit more Detail it’s, linear in the first argument, which is expressed by these two equations that you see right here, the first one says that if we add two vectors, Phi1 and Phi2 and then take the tensor product with Psi, we get the same result. If we took the tensor product with Psi first and then we added The second one says that if we multiply some vector Phi by some scaler alpha, and then we take the tensor product with Psi, the result is the same as if we first took the tensor Product of Phi and Psi, and then we multiply the result by alpha And we also have linearity in the second argument, which is the same, except that the roles of the two arguments are swapped. This product of bilinear is pretty straightforward to verify from the definition, but it’s good to write it down like this, because we’ll often make use of these formulas Notice by the way that scaler float freely through tensor products. In the sense that’s expressed by these qualities that you see right here, That is there’s, no difference between multiplying the first argument by a scaler alpha in this case multiplying the second argument by that scaler or multiplying the entire thing by that scaler. These equalities follow from these two equations right here and because there’s no difference between these vectors. We can just write the expression, as you see right here, with no parentheses, because there’s no need for them. They’re, not adding any clarity or removing any ambiguity, so we just remove them and we get a cleaner expression. All of this generalizes to three or more systems. We can define the tensor product of of three or more vectors by generalizing the formula for the tensor product of two vectors in the natural way which you can see expressed right here. Each entry of the tensor product is given by the product of the corresponding entries of the vectors that we’re, taking the tensor product of An equivalent way to define the tensor product of three or more vectors is to do it recursively, ultimately, falling back on The definition of the tensor product between two vectors. So if n is at least three, we can think about the tensor product of n vectors Phi1 through Phi n as being the tensor product between whatever vector we get by taking the tensor product of the first n minus one of them with the last vector. And if you want to know what the tensor product of the first n minus one vectors is, you either apply the formula again in case n minus one is at least three or use the definition from before. If n minus one is equal to two, The two ways of thinking about tensor products of three or more vectors are equivalent. This time, when we have three or more vectors that we’re taking the tensor product of we don’t use the term bilinear. We instead use the term multiline, but the idea is the same. The tensor product is linear in each of the positions, provided that the vectors in all of the other positions are fixed. Moving on to measurements of multiple systems in probabilistic states, we immediately obtain a specification for how measurements work for multiple systems by simply thinking about them, collectively as single systems, provided that all of the systems are measured. As a simple example, let’s suppose that we have two bits X and Y and collectively they’re in this probabilistic state right here, which we saw before. Naturally, if we measure both of these bits, we’ll get the outcome: 00, meaning a zero for the first measurement and a zero for the second measurement. With probability one half and we’ll get the outcome. 1. 1 with probability one half as well. That’s quite straightforward In essence, measuring all of the systems is equivalent to measuring the entire compound system. If we don’t measure all of the systems, however, but instead we just measure some of the systems, then the situation – isn’t quite so immediately. Clear restricting our attention once again to the case of just two systems to see the essence of what’s going on in as simple as setting as possible. We can ask the following question: suppose that we have two systems X and Y that are together as a pair in some particular probabilistic state. What happens if we measure just X and we do nothing to Y Well, we can answer this question using some basic probability. Theory: First, we know that the probability that the measurement gives a particular outcome has to be given by this formula that you see right here. We can think about the probabilities for each of the classical states of the pair XY, as if we did measure both and we sum over all the probabilities that are consistent with X being in whatever classical state a we’re interested in. So that’s. Why the sum right here is just over the classical states b of Y. One way to think about this formula: is that the probability of seeing a particular classical state of X, if we measure it, has to be consistent with the probability of seeing that state? If we had also measured Y, even though we didn’t that’s very natural and intuitive The probability for a measurement of X to yield, a particular outcome can possibly depend on whether or not Y was also measured, irrespective of the outcome. So that tells us what the probabilities are for the different possible outcomes of the measurement, but what happens to Y or our knowledge of Y? As a result, The answer is that there still could exist some uncertainty about the state of Y as a result of having measured X and seeing a particular result, And that uncertainty is represented by this formula right here for the conditional probability. That Y is in some particular classical state b, given that X is in some classical state, whatever classical state a we happen to have measured To be precise, the probability that Y is in some classical state b, given that X is in the classical state. A is equal to the probability that X is in a and Y is in b, divided by the probability that X is in the classical state a So. If we measure X, we’re going to see different, classical states with probabilities determined by this formula. Right here and depending on what outcome we get, we may still have some uncertainty about the classical state of Y and that uncertainty is reflected by this formula right here. There’s actually a very easy way to rephrase all of this and to perform calculations for specific cases using the direct notation – and it goes like this – We start by writing down the probabilistic state of XY as a vector like this, and this is completely general. The entries are denoted by Pab and these could be any numbers. So long as the entire vector is a probability vector. We can express cat ab as a tensor product. Like you see right here, and then we can use the bilinear of the tensor product and specifically the fact that it’s linear in the second argument, to express this vector. As you see right here, What we’re doing is effectively isolating the standard basis. Vectors on the left hand, side and putting whatever we need to, on the right hand, side to allow that, because that’s gon na reveal what happens when we measure the first system X, Specifically the probability to get a particular outcome. A is the sum over all of the probabilities that appear in the parenthesis next to cat a And conditioned on getting a particular outcome. A the probability vector that describes whatever uncertainty remains about Y is the vector that was in the parentheses next to a, Except that we have to normalize it to make it a probability vector, and that is is to say that we have to divide that vector by The sum of the entries in that vector to form a probability vector Here by the way the sum is taken overall c in gamma, rather than b just to use a different variable name so that there won’t. Be any confusion about the scope of the variables, if you will The sums in the numerator and the denominator should be considered as separate things, and we can avoid any chance of confusion about that by using different variables for the two sums Here:’s a quick Example to illustrate how this all works. Suppose XY is a pair of bits in this probabilistic state right here to understand what happens when we measure the first bit and we do nothing to the second. We write the vector, as you see right here, where cat zero and cat one in the first position are isolated, just as we described a few moments ago. The first possibility is that the measurement outcome is zero and the probability of that happening is the sum of the probabilities inside of the parentheses that are tensored to cat zero. So we get one 12th, plus one quarter, which is one third and conditioned on the outcome. Zero, The probabilistic state of Y becomes this vector, normalized or equivalently, divided by the probability that we just calculated, and so what we get is this vector right here. The second possibility is that the measurement outcome is one and the calculation is done in a similar way. Using the second term, in the expression rather than the first term, And if you’d like to verify the details, go ahead as always and pause the video to give yourself a moment do that You can perform the same sorts of calculations to figure out what Happens when Y is measured rather than X, It’s the same method up to a symmetry between the two systems. This time we write the probability vector like this isolating the standard basis, vectors on the right, like you see right here, but otherwise it works in exactly the same way. You can also use this method for more than two systems. It can get a little bit messy. Just to write down all of the required expressions, but conceptually it’s exactly the same idea. Finally, for the portion of the lesson on classical information, we’ll take a look at operations on probabilistic states of multiple systems, Following the same reasoning that we’ve now seen a couple of times. We conclude that probabilistic operations on multiple systems are just like probabilistic operations on single systems represented by stochastic matrices, But this time those matrices have rows and columns that correspond to the Cartesian product of the individual system.’s classical state sets. That is, we’re. Simply viewing a compound system as if it’s a single system and falling back on the description for how probabilistic operations work for single systems. From the previous lesson Here,’s, an example of an operation called a controlled, NOT operation on two bits X and Y. This is, in fact, a deterministic operation and the way that it works is that if X is equal to one, then a NOT operation is performed on Y and otherwise, if X is equal to zero, then nothing happens. The bit X is sometimes called a control bit because it determines whether or not the NOT operation is applied to Y and Y is called the target bit because it’s the bit that gets acted upon by the NOT operation. You can also imagine swapping the roles of X and Y so that Y becomes the control bit and X becomes the target, but that’s a different operation from the one that’s described here, because the operation isn’t symmetric between X and Y. They’re both called controlled, NOT operations, and we just need to specify which one of the bits is the control bit and which one is the target bit. This operation has the action that you see right here on standard basis, states, and you can check that action against the definition of the operation, And here is the matrix representation of the operation. When we think about this operation. We have in mind that there are these two separate bits and they play the roles that I just described, with X, being the control bit and Y being the target bit, but there’s really nothing about this action here or this matrix representation that demands that We think about these two bits as being separate bits. We could, alternatively, just think about this operation as being a deterministic operation on a system having four classical states that we’ve decided to name 0. 0, 0, 1, 1, 0 and 1 1. Here’s. Another example of a probabilistic operation on two bits which isn’t a deterministic operation this time The operation sets Y to be equal to X, with probability one half, and otherwise it goes the other way and it sets X to be equal to Y This operation. Doesn’t have a special name: it’s just meant as an example, And here’s the matrix representation of this operation, You can see that it can be expressed as an average of two matrices, one that represents the deterministic operation, where Y is set To whatever value is stored in X and the other that sets X to be equal to Y, So here we see that we can take averages of stochastic matrices to obtain new ones. Just like we had in the previous lesson Now let’s consider the following question: Suppose that we have two probabilistic operations, each on its own system, described as usual by stochastic matrices and to be precise, let’s suppose that M is a probabilistic operation on A system X and N is a probabilistic operation on a system Y. The question is: if we simultaneously perform M on X and N on Y, how do we ascribe the effect that this has on the compound system XY Thinking about about this intuitively for a moment? If we simultaneously perform the two operations on their own respective systems, then we are in fact performing an operation on the compound system, so it should be described by some stochastic matrix. The short answer to this question is that the matrix is obtained by taking a tensor product, not between vectors, like we talked about earlier, but between matrices, in this case the matrices M and N. So let’s take a few moments to discuss. Tensor products of matrices and then we’ll return to this question Here:’s the definition of the tensor product between matrices and it’s very much analogous to the tensor product between vectors. If we suppose that the two matrices that we’re working with are written in the forms that you see here, so that the entries of M are denoted, alpha ab as a and b range over, some classical state set sigma and the entries of N are Denoted by beta cd as c and d range over some classical state set gamma, Then the product of M and N is the matrix that you see right here. What we have is similar to the tensor product between vectors, the rows and columns of M tensor N correspond to pairs of classical states which are written as strings right here, and the entries are products of the corresponding entries of M and N. Here,’s. Another way of writing it in terms of the individual entries of these matrices, The ac bd entry of M tensor N is the product of the ab entry of M and the cd entry of N. There’s another way of describing M tensor N, which is that it’s, the unique matrix that transforms any vector of the form Phi tensor Psi into the tensor product of M, applied to Phi with and applied to Psi. And that has to be true for every choice of these vectors, Phi and Psi. One way to think about this is that the tensor product of matrices gets along perfectly with the tensor product between vectors. This is an equation that you would naturally hope is true, and indeed it is In terms of matrices that are written out explicitly. We can define the tensor product, as you see here. There’s a lot of dots in this equation and they’re meant to illustrate the pattern, which is the same pattern that we had for vectors. Except now we have rows and columns, as opposed to just column, vectors In case it’s, not clear. The following example may help Here we’re talking about the tensor product of two two by two matrices. We first write down four copies of the second matrix one for each entry of the first matrix. We multiply each of these copies of the second matrix by the corresponding entry of the first matrix, and then we collect it all into a single four by four matrix. As you see right here, We can also define the tensor product of three or more matrices in an analogous way, and perhaps the easiest way to express this is, as you see right here, where we have a formula for each entry of the tensor product, which is Simply the product of the corresponding entries, You can also define the tensor product of three or more matrices recursively in terms of the tensor product of just two matrices, just like we had for vectors, And one final note is that the tensor product of matrices is multiplicative, Which means that a product of tensor products is equal to the tensor product of the products You can think about this as a generalization of the formula from a few moments ago for the action of intensive product of matrices on tensor product of vectors And again this Is something that we would certainly hope to be true, and we can be glad that it is, and we’ll make use of this fact whenever we need, And now we can return to the question from before, which asks how we describe the effect of performing An operation M on a system X and an operation N on the system Y together as an operation on the compound system XY, And the answer to that question – is that the action is described by the tensor product of M and N Tensor products represent independence. This time between operations, as opposed to what we saw before for probability vectors Here,’s, a quick example Suppose that we perform the probabilistic operation described by this matrix on a bit X. This happens to be an operation that we saw in lesson one and we simultaneously perform a NOT operation on a bit Y. The combined operation on the pair XY is therefore represented by the tensor product of the matrices corresponding to these two operations. Here,’s the one on X and here’s, the NOT operation on Y – and we get this matrix that you see right here And you can see that. Indeed, this is a stochastic matrix and that will always be the case. The tensor product of any two stochastic matrices or any number of stochastic matrices for that matter will always be stochastic. It is a very common situation that we encounter a situation in which one operation is performed on one system and nothing is done to another system. In this situation, we follow exactly the same prescription, with the understanding that doing nothing is represented by the identity matrix. For example, if we have two bits X and Y – and we reset the bit X to the zero state – which is the same thing as performing the constant zero function on X – and we do nothing to Y, then the resulting operation on the par XY is represented By this tensor product right here, All of this generalizes to any number of systems – and we’ll, see some additional examples. When we turn to the quantum setting which works in exactly the same way, except that we have unitary matrices rather than stochastic matrices, and that’s enough about classical information for now Now we’ll turn our attention to quantum information and how it works. For multiple systems, The pattern is the same as it was for classical information. We can view multiple quantum systems as single compound systems and apply what we know from the previous lesson Again. Tensor products will play a key role and overall we obtain a description for how quantum information works for multiple systems. That’s very much analogous and mathematically similar to what we just saw for classical information. We’ll start with quantum states. Quantum states of multiple systems are represented by column, vectors having complex number entries and Euclid arm equal to one, just like quantum states of single systems. This time, the indices of the quantum state vectors correspond to the Cartesian product of the classical state sets of the individual systems. Because again, that is the classical state set of the compound system, For example, if X and Y or Qubits, then the classical state set for the par XY together is the Cartesian product of the binary alphabet with itself, which we can think about as the set up All binary strings of length two, So these vectors that you see here are all examples of quantum state vectors of XY. If we want to, we can, alternatively, write these vectors like this, where we have a separate cat for each Qubit, where the tensor product between them is implicit, Or we can also write the tensor product symbol explicitly like this. If you prefer – And another option is to subscript the cats with the names of the systems that they represent like this – And you can do this with the tensor product symbol or without That can sometimes be very helpful for keeping things straight. These are just different styles. For expressing the same vectors, and we can pick whichever one we want or whichever we prefer – or whichever makes the most sense for the situation at hand When things get more complicated. For instance, we might decide that one of these styles adds clarity and we’re free to make whichever choice we want. Tensor products of quantum state vectors are also quantum state vectors For the case of two systems. For instance, if Phi is a quantum state vector of a system X and Psi is a quantum state vector of a system Y, then the tensor product of Phi and Psi is a quantum state vector of XY. We call states like this product states and similar to what we saw in the classical probabilistic setting. They represent independence between the systems X and Y. So, for instance, if one person has a laboratory in one part of the world and they create a system X and initialize it to the quorum state, Phi and another person in another part of the world, independently initializes a system Y to the quantum state Psi, then, If we choose to think about XY as forming a single system, even though it’s two parts or in different parts of the world, then the compound system XY, is in the state Phi tensor Psi. This all generalizes to more than two systems in the natural way. If we have quantum states Psi1 through PsiN of separate systems Xn through Xn, then the tensor product of these n vectors represents a quantum state which is again called a product state of the compound system. X1 through Xn Here’s an example of a quantum state of two Qubits, Although it might not look like it immediately. It is an example of a product state because we can write it as a tensor product, as you see right here, So it’s an example of a product state, regardless of how it’s written. What’s relevant is whether or not it’s possible to write it as a tensor product. This quantum state, however, which is again a state of two Qubits, is not a product state. It’s, similar in spirit to the example that we saw in the probabilistic setting of two perfectly correlated random bits, and the same argument reveals that it can’t be written as a tensor product. So let’s move this over here and let’s take a look at the argument in a little bit more detail, Let’s! Imagine that we could write this state as a tensor product of two vectors Phi and Psi. The entry corresponding to the classical state 0 1 is zero for this vector, which we can see just by looking at it. This would imply, however, if the vector was a tensor product of two vectors that the zero entry of Phi times the one entry of Psi would be equal to zero. But that means that either the zero entry of Phi or the one entry of Psi is equal to zero or they both could be equal to zero. But that contradicts the fact that these two products here must both be non zero. They’re equal to one of our squared of two. The argument is, in fact pretty much identical to what we had in the probabilistic setting There’s, nothing uniquely quantum about this at all. In any case, what we find is that the original state is not a product state Notice that it’s, not important that these two numbers here are one over squared of two. All that matters is that both values are non zero. This particular quantum state is a very interesting one. It’s an example of an entangled state of two Qubits. We’ll talk more about entanglement later in the series. Entanglement can be complicated, particularly when we’re talking about quantum states in the general formulation of quantum information. But here in the simplified description of quantum information entanglement is equivalent to a lack of independence So for a quantum state vector if it’s, not a product state, it’s an entangled state and this particular state is commonly viewed as the archetypal example of An entangled quantum state And in fact, we sometimes think about this state as representing one unit of entanglement, particularly when we’re thinking about entanglement as a resource that can be used to do interesting things. The quantum state that we just talked about is one of the four so called bell states which you can see here, along with the names that are commonly used for these states, Phi plus Phi minus Psi plus and Psi minus They’re all entangled, and they Do form a basis for the space of all vectors representing states of two Qubits, So these four vectors together are called the Bell basis. It’s a very commonly encountered collection of quantum states named in honor of John Bell, who was a physicist who made very important contributions to the study of entanglement in the 1960s. Here are a couple of well known examples of quantum states of three Qubits. The first one is called a GHZ state. It’s kind of like the Phi plus state that we just saw, except for three Qubits instead of two And the second example is called a W state and it looks like you see here so it’s uniform over the three binary strings of length. Three that have exactly one bit set to one. Neither of these states is a product state and they both have interesting properties and arise pretty commonly as examples, so they’re good to know about, and we will see them again. Next, we’ll talk about measurements of systems in quantum states, Following the same reasoning that we’ve been following this far in the lesson, which is to think about multiple systems, as if they’re single systems, We immediately arrive at a description for how Measurements of multiple quantum systems work provided that all of the systems are measured. That is if we have some quantum state vector Psi, that represents a quantum state of an n tuple systems X1 through Xn, and we measure the entire compound system, which is equivalent to measuring every one of the individual systems. Then each possible n tuple of classical states will be the outcome of the measurement with probability equal to the absolute value squared of the entry of Psi that corresponds to that n tuple. For example, if we have a pair of systems XY in this quantum state right here, then if we measure both systems, then we’ll get the outcome: zero hearts, meaning zero for the measurement of X and hearts for the measurement of Y, with probability, nine 25ths And we’ll get the outcome. One speeds with probability: 16 25, That’s really quite straightforward. We’re essentially just ignoring the fact that these are two separate systems and we’re viewing them as if they’re one single system. But this raises the following natural question, which we already considered in the classical setting, Suppose that we have two systems X and Y that are collectively in some quantum state and we don’t measure both. But we only measure one system. Let’s say that we measure the system X and we do nothing to Y. Of course, we can also ask what happens if we measure Y and not X, and more generally, what happens if we have three or more systems and we measure some proper subset of them. But once we have an answer to this question, we’ll have answers to those questions as well. We know that in general, a quantum state vector of the pair XY takes the form that you see right here, assuming as usual, that sigma and gamma are the classical state sets of X and Y respectively. The entries of this vector are denoted by alpha ab, ranging over all the possible choices of a and b, and they can be any complex number that cause this vector to be a unit vector. Now. We already know that if both systems are measured, then we get the probabilities for the different possible outcomes by taking the absolute value squared of the corresponding entry, And so, if just X is measured, then the probability to obtain a particular outcome. A is given by this expression we simply some over all of the possible outcomes b that could be obtained if Y was also measured, even though it wasn’t. The idea is the same as in the probabilistic setting The probability to get a particular outcome when X is measured, can’t possibly depend upon whether or not Y was also measured. So this tells us what the probabilities are for the different possible outcomes. In addition, there will be some change in the state of Y as a result of having performed this measurement on X and having obtained a particular outcome. So let’s take a look at how this works Similar to what we did in the probabilistic setting. We can express the quantum state vector Psi, as you see right here, where Phi a is this vector for each choice of a classical state. A of the system X, we’re using the bilinear of the tensor product just like before. Only now we’ve chosen to name these different vectors Phi, a just for convenience. We already observed that the probability that the measurement yields each possible outcome a is, as you see right here, but now we can see that this probability is equal to the Euclid norm, squared of the vector Phi, a and now, as a result of the measurement of X, giving a particular outcome a we have that the quantum state of the compound system XY becomes this state that you see right here, Just like we had for single systems the state collapses in essence, but it doesn’t collapse entirely in general. It only collapses as far as it needs to in order to be consistent with the measurement of X yielding the outcome. A The quantum state of Y becomes Phi, a normalized, meaning that we divide by its Euclid norm so that it becomes a unit vector. This is analogous to what happened in the probabilistic setting where, instead of dividing by the Euclid norm, we divided by the sum of the entries of Phi a in order to get a probability vector. But here because we’re talking about quantum states. We divide by the Euclid norm to get a quantum state vector. Let’s take a look at a couple of examples to see how this works for a specific state. Here,’s, the state that we’ll, consider We’re, assuming that X and Y are Qubits and they’re in this particular state Psi And let’s suppose that X is measured. We begin by writing the state’s Psi. As you see right here, effectively isolating the standard basis, factors of X and tensing them with whatever we need to in order to get the original state Just like in the general description from a moment ago, The probability to obtain the outcome. Zero is the Euclid norm. Squared of this vector right here, The thing that we’re tensing to cat zero in our expression of the vector Psi, And so the probability is three quarters and conditioned on getting the outcome. Zero. The quantum state of the pair XY becomes this where we normalize the vector tensor to cat zero and that’s equivalent to dividing by the square root of the probability that we just calculated. We can then simplify, and this is what we get The probability to get the measurement outcome. One is calculated in a similar way. We take the Euclid arm squared of this vector right here. The thing that’s tensed to cat one in our expression of Psi and the resulting probability is one quarter which it has to be, of course, because our probabilities have to sum to one. In this case, the quantum state of XY becomes this. Where again, we’re normalizing by dividing by the Euclid norm, so that we obtain this quantum state vector as a result, The same method is used in a symmetric way if Y is measured instead of X. Here,’s, the original quantum state vector and this time because Y is measured instead of X, we express the vector Psi as you see right here, where this time we isolate the standard basis, vectors of Y rather than X, tensing with whatever we need to to Get an expression of Psi Going through the calculation which you can check by pausing the video. If you like, We see that the probability to get the outcome. Zero is Phi8 this time and here’s, the quantum state vector that results conditioned upon getting that result And the probability to get the outcome. One is three eights, in which case this is our quantum state vector You can use exactly the same method. In case you have more than two systems and any proper subset of them are measured, And there’s an example in the textbook content for this lesson that you can check out if you’re interested. In short, we can always divide the systems into two separate collections, the ones that are measured and the ones that aren’t And once we’ve done that we fall back on the method method that I’ve just described, and that’s, how Measurements for multiple quantum systems work And now, finally, we move on to unitary operations on multiple systems, Using the same basic idea that multiple systems can be viewed as single compound systems. We conclude what you see written here on the screen. Quantum operations on compound systems are represented by unitary matrices, just like we have for single systems, and specifically the rows and columns of those unitary matrices correspond to the Cartesian product of the classical state sets of whatever collection of systems we’re talking about, For example, If we have a system X, whose classical states are one two and three and Y is a Qubit, then the matrix that you see right here is an example of a unitary matrix that represents an operation on the pair XY, The details of how we order Cartesian Products that we talked about before don’t really matter for the sake of this example, it’s just a six by six matrix that happens to be unitary. There’s nothing special about it, although it is built out of a couple of important matrices. The point is that you could choose any six by six unitary matrix and it would represent a unitary operation on XY If we apply a collection of unitary operations independently. Each on its own system, then the action of them all together on the compound system is given by the tensor product And here on the screen, you can see a more precise statement of that fact. If our unitary operations are described by the unitary matrices U1 through Un one for each of our systems, then the combined action on the compound system is given by the tensor product of U1 up to Un Once again similar to what we had in the probabilistic. Setting an important example is that we apply some unitary operation. U to a system X, and we do nothing to some other system Y. The operation on XY that we get is U tensored, with the identity matrix The identity matrix describes doing nothing to Y. Sometimes it’s helpful to write explicitly that this identity matrix corresponds to the system Y. Just to make the formulas more clear And one option is to give the identity matrix a subscript like this. That indicates the system that it acts upon When it’s clear enough, though we usually don’t bother with a subscript, but when things get more complicated, it can be very helpful, And we can also consider the symmetric case where some unitary operation V is Applied to Y and nothing is done to X, and this time the resulting unitary operation on XY is represented by this tensor product. Here And once again, we can put a subscript on the identity matrix if it helps. Here are a couple of specific examples. If X and Y are Qubits and we perform a Hadamard operation on X and we do nothing to Y, we get the matrix that you see right here. If, on the other hand, we perform the Hadamard operation on Y and we do nothing to X, the ordering of the tensor product is reversed, And so we get the matrix that you see right here. Not every unitary operation on a compound system can be expressed as a tensor product. If we have a tensor product, then we have independence And there are some pretty fundamental examples of operations that certainly don’t act independently on multiple systems, For example, if X and Y have the same classical state set, which could be any classical state set sigma, Then we can think about the swap operation on the pair XY. This operation, doesn 39, t change the ordering of the two systems we still have X in the left and Y on the right, but rather it represents swapping the contents of the two systems. Here you can see that expressed in the form of an equation where we have a tensor product of two quantum states. Another way to write it is as a matrix as we see right here. The way you can think about this description is that it tells you what happens for standard basis vectors And once we know what happens for standard basis vectors. We know what happens for arbitrary quantum states by linearity, which, in fact is also true for this expression. Right here, So this particular operation right here happens to be a deterministic operation, as well as a unitary operation. If X and Y are Qubits, for instance, we get this matrix representation right here Here -‘s, an interesting connection between the swap operation and the four Bell states, which are shown right here for convenience. The swap operation leaves the first three of them alone, but it puts a minus sign in front of the Psi minus state. So there’s something special about that one. You can check these equations directly by looking at these vectors and considering what happens for the standard basis states swapping the two classical states for the first three Bell states, doesn’t do anything we get the same state we started with. In the fourth case, however, the minus sign effectively moves from one term to the other when we perform the swap of the classical states and that’s equivalent to multiplying the vector by minus one So performing the swap operation somehow kicks out a minus sign. From this fourth Bell state, We’ll have more to say about these equations later on, but now let’s move on to another type of operation, which is a controlled operation. We’re going to suppose that X is a Qubit and Y is any system you want, If? U, as a unitary operation on Y, then a controlled? U operation on XY is the operation that’s expressed right here, First using the direct notation and then using what’s called a block matrix. You just imagined filling in this bigger matrix with the smaller ones, where these zeros really represent matrices filled with zeros. So each of these four blocks represents a matrix having a number of rows and columns. That agrees with the number of classical states of Y. The idea of a controlled operation which we already encountered in the classical setting when we discussed a controlled, NOT operation, is that if X is set to zero, then nothing happens to Y, But if X is set to one, then U is applied to Y. So X is called the control. Qubit and Y is called the target system which, in general, doesn’t have to be a Qubit For a specific example, which I just mentioned, we have a controlled, NOT operation. If the first qubit is set to zero, nothing happens And if the first qubit is set to one, then a NOT operation or equivalently. A sigma X operation is applied to the second Qubit. And here is it’s matrix representation? We’re talking about two Qubits here, so we could equally well decide that the second Qubit is the control, and the first is the target To describe that operation. We just swap the ordering in the tensor product and the result is the matrix that you see right here. If, instead of a controlled, NOT operation, we consider a controlled sigma, Z or controlled Z operation. We obtain this matrix representation right here And for this one, it doesn’t actually matter which is the control and which is the target We get the same result either way We can go further and we can consider a controlled swap operation, And here we’Re talking about swapping two Qubits, so we end up with three Qubits when we include the controlled Qubit. Each matrix representation looks like this: It’s pretty special operation and it’s known as a Fredkin operation or more commonly a Fredkin gate. When we think about it as a gate in a circuit, we’ll discuss circuits in the next lesson. The last example is a controlled controlled, NOT operation, which again is an operation on three Qubits And here’s its matrix representation. This operation is much better known as a Toffli operation or a Toffoli gate. We’ll, discuss it further and we’ll see why both it and the Fredkin can operation are very important operations in a later lesson, And that is the end of the second lesson. In this lesson we discussed how quantum information works for multiple systems. I hope you’ll join me for the third lesson soon, which is on quantum circuits protocols and games Bye. Until then,
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You're a big girl. Do you really think there are princes
there who are just waiting to marry you? Just the facts. There is an app
where you can meet a man. It's just a waste of time. I don't need that. I have Vitalik. Oh, you're so boring.
What's wrong with you? You haven't even turned 40 yet.
But you're giving up. You seem so busy all the time. When do you live? Okay. I'm leaving, because the apartments
will not sell themselves. All right, I'm leaving, too. Thanks for the coffee, Vika. {\an8}Vitalik ordered me for dinner today. He ordered?! Bye, girls. Come back when you have time. Okay, I’m off! – Thank you!
– Bye! Our colleagues have calculated
that we'll be able to build up to 1000 apartments
in the new complex.
Of course, we weren't
the only ones vying for this plot of land. But I showed the Department
of Architecture who is in command. So, my congratulations. The plot of land is ours! Ta-dah! Here's a building permit,
technical specifications, project documentation. Mr. Maksym! Vadym, where's the building permit? Here it is! I personally checked
all the documents, but… But what? I thought you weren't listening to me. How could I not listen to you?
You made such a deal. You're not a lawyer. You're a pit bull! Well, let's get back to work, guys. Yulia. Boris. Just the way you like. – Thank you, Vika.
– You're welcome. There are two ways of propagating
this plant: by seeds and by cuttings. How much does all this beauty cost? $50,000. Not a problem. That price is acceptable to me. I could easily buy a dozen of them. Oh, wait a second. A second-hand one? Yes, but the apartment
is in a new building. Besides, the previous owners
only lived here for two months. Would you like to negotiate? What do you want for this shack? $50,000. But it's a normal market price. Why didn't you turn around
and leave right away? She didn't even tell me
how much it costs.
– I just wanted to have a look.
– Hey, I told you the price. Is everyone in your company rude? Ma'am, please choose
your words carefully. Did you come to look at the apartment
or to assess the realtor? We’re not interested in this apartment,
in you, or your company. Look, I think this apartment
is very nice! And your husband was ready to sign
the contract. It's me who decides what to sign,
what not to sign. Let's go. Lousy coward. Olenka! You're like a little child! Mom, you always said
I’d be your little girl. – Even when I'm 90.
– 100 is better. Are you hungry? No, I'm not. – Let me help you instead.
– Thank you. Katia, no! Why isn't it on the menu? Do you want to tell me something? – How did you know that?
– You're glowing! Roman got that grant
and received an invitation to the university of Toronto,
in Canada! I've already applied for a visa.
They said it will take ten days,
and then we’re leaving. You're going? Yes, mom! They give apartments
to all families there. We've already submitted an application
to the registry office. The wedding is in a week. You're invited! Sorry for the rush, though. No traditional engagement stuff. A wedding? In Toronto? Mom, why not? You've always liked Roman. We've been together for a whole year. Don’t tell me you're not happy for me. No, I am! I'm really happy. It's just all happening so fast. Olenka, wait. What about your studies
at the university? Mom, what university? I can study there too. The whole world is ours. What's wrong? You're already getting married, but I don't even know
his parents! I'll introduce you to them. They have a company. My little girl… You’ve grown up so fast. I’ve grown up, mom. – Is that a bad thing?
– No. Let's look on the bright side. You're 38, but you look
like you're 20! You've raised a daughter,
paid off a mortgage.
Opened a café,
helped me get an education. Take some time for yourself, mom!
Read this! {\an8}Something crazy! I've already forgotten what that's like. Well, remember! Vitalik, you didn't say
what kind of dumplings, so I made these with meat,
these with potatoes, these with cabbage, and these with cherries,
just the way you like it. – Do you want some more?
– No. Bring me the briefcase. All right. Sit down. Read this. What is this, Vitalik? The paperwork for the apartment. After the divorce,
I'll leave the apartment to you. Divorce? If you don't claim a share
in my business. So you won't? I won't. Why? I’ve… done everything for you.
20 years! Let's not do this. If you have no claims,
we have a deal. Sign it at… the notary's office. Vitalik, why? Because… I've met another woman. We're going to have a baby.
A son. We can try again. We've tried enough. There's nothing to talk about. Do you want me to pack your suitcase? Misha! Go eat before you train. – I don't want to.
– You know you have to.
I don't care. Okay. What's wrong? Nothing. Come on, Misha. Please tell me. Bodia and Lesyk are… going biking with their dads. Okay, let's buy you a bike. Will you buy me a dad too? Honey, you understand… I understand. I'm not a little kid. Good evening. Oh, it's you. Yes, it's me. You helped me so much this morning,
and then left so quickly. So, coffee is on me.
Espresso? I didn't help you for coffee. Let me thank you anyway. I can do without sweets. These are fortune cookies. Customers love them. Do you want to find out
what's in store for you today? Okay. Oh! {\an8}Today you will find
what you've been looking for. Isn't that wonderful? Yeah. Do you believe in it? Well, I always want to believe
in something good. Here, keep it as a souvenir. Tell me. Are you the owner here? Yes, I am. Why? This morning, when I… Oh, you're here about
the announcement. What announcement? The one about the security guard. But it's from the restaurant next door.
I was just about to write my own one. Are you looking for a security guard? Yes, for the evening shift. It's quiet during the day,
but in the evening it's different. – And you…?
– I'll take it. And you don't even
want to know the pay? Oh. Sure. So, what is it? For the evening shift,
I can't offer more than 135. 135 what? 135… dollars. Okay. I can start today. My name is Maksym. Vika. Viktoria. Sorry. I didn't expect this. I don't even have the space
for a security guard. Oh, no problem. I can sit over there.
I think that's it. So… easy. Don't complicate it. I'm leaving the apartment to you. I'm not a bastard. As they say, long goodbyes, deep sighs. Goodbye. Here you are. Inna! What happened? Vitalik left me. Oh… Sit down. He's having a baby. A son. But not with me! Oh… Calm down. Let me make you some coffee. Katia. What's happened? It's Misha. He needs a father, but where am I going
to find one? What's wrong with Inna? Vitalik left her. He's having a baby
with another woman. Oh, my God! Hey, make me some coffee with milk. Or better yet, with cognac.
Or without coffee. Just cognac. And macarons. If they haven't all been eaten yet. Inna, come on.
Calm down. A streak of bad luck.
For everyone. What's going on with you? Olenka’s getting married. In a week, she’s getting married
and moving away. Is she… No. She's going overseas with Roman. Well, that's good news. Yes, it's good. Olenka is happy. And you seem to like Roman. Yes, it's good news. I'm very happy for Olenka,
but it's all happening so fast. My whole life has been about her. And what now? Come on, Inna. It'll help. I could use a drink. Oh, there's a café. Ladies! What are we celebrating? So beautiful and alone. I'll take care of it. Guys, let's talk outside. Let's just go somewhere else. Vika, this is… The security guard I hired today. Is that his bike outside the café? Yeah. Did you know that bike
costs as much as your entire café? Everything's fine. Is that fancy bike
at the entrance yours? It's mine. Must be expensive. It's expensive in the showroom,
but I bought a used one.
What about your brand-name shoes? Did you buy them
at a second-hand store? Something like that. – Bye!
– Goodbye. I'm about to close up. Thank you again. – See you tomorrow.
– See you tomorrow. – Goodbye.
– Bye. Bye-bye! Vika, he's not bad. Not for me. Sure. How will I live without Vitalik? I know it's not much of a consolation, but Katia now are both living
without a husband. Well, it was hard at first,
but it's okay. We survived. Remember. Angela found a husband on…
what's it called? The love app.
Do you really believe that you can find
someone serious there? Yes, I do. Let's download it for Inna. Even if it's not serious,
it'll be good for her. Yes, Inna needs a man,
but what about you? Are you planning to be all alone? Maybe I am. This is all nonsense. I don't know how to meet people
in real life, and you want me to do it online. But how did you meet Vitalik? My mom set us up right after school. No, no, no, no.
That's it.
Let's go to the restroom. You'll wash your face,
and everything will be fine. You see, that woman can't survive
without a man. Let's sign up. What if all three of us
find someone? Just for Inna’s sake. Oh! Vika, you look great. Really? Okay, now, for pictures. Come here in the light. Relax your shoulders. Okay, smile. Yes! Great! Now you, over there in the light. Put your leg forward. Good! Great!
Now a serious look. Look that way. Awesome! Okay, I'm forwarding it to you. Okay. So… we're signing up? Let's sign up. Let's go. Here we go. Oh, someone liked me. Me too. If you like somebody, swipe right. Swipe? if you like a guy, swipe right. What if I just want to look
at a profile? So, just look. Girls, there are so many guys here. Right nearby, about 300 yards away.
No kidding. That's the dance club
next to our building. Yeah. I pass by it all the time. So, what are we doing here? We have to wait a bit, or it looks like they just snapped
their fingers and we ran over. It's a bit indecent to go to a club. Oh, come on, girls!
What's wrong with a club? People dance, drink cocktails. We'll just have a look. Anyway, did we dress up for nothing? Let's at least go out in our dresses. Come on! Why are we still here? Should we sit at the bar? Or maybe a table? Let's sit at a table
somewhere in the corner.
Vika, wow! Right there. Let's dance! No, thanks. Why don't you dance with your wife? Is she here? Why should I dance with my wife? I'm not attached to her. As they say, the more you party,
the stronger the love. I'm not going anywhere with you. Hey, man, is there a problem? No problem. You do what you want,
but I'm leaving. Vika, wait! Wait! Is it because of that asshole? No, I'm mad because true love
is the exception, not the rule. Because of this stupid love app,
because of your adventurousness. I'm sorry. – Vika!
– Vika! Don't leave me here alone! – Girls!
– Hey! Are you the one
who messaged me on that app? Katia, you look even hotter in person
than you do in your pictures. Let's dance first. I can't. I'm not in the mood. That's how I became a security guard. Not a bad social elevator. No offense, but you don't really
look like a security guard.
And no one figured it out? Here you go. Thank you. – It's so cozy here.
– And the food is so delicious. Thank you. I'm glad you like it. My mom came up
with everything here. She designed the café, and even selected
all the desserts herself. I wish we lived in this neighborhood. Your café would be our favorite place. That's true.
Don't even think about it! Let me get you some more. Thank you. Mom, I’ll help. Close it, please. So? What do you think of them? They're very nice people. Mom, I… wanted to talk to you. At weddings, the groom is always
led down the aisle by his mother, and the bride… The bride is led by her father.
Is that what you mean? I was just thinking. What if I invited my dad
to the wedding, too? Sweetheart,
let's talk about it later, okay? Now, take this in.
Go on, go on. It's too late to cry, Inna. You should’ve thought about it earlier. About what? If you had given him a child,
he wouldn't have left. Or even better, two children.
He left, why? Because he’s having a son
with another woman, an heir. Mom, you know everything. The doctors told us
we were genetically incompatible. We did so many tests,
took so many medications! Vitalik didn't want to adopt a child. It doesn't matter what the doctors say. You should’ve done
the candlestick position after. I did. Then you did it wrong. If you really wanted to,
you would’ve come up with something. What? You did it wrong. You could’ve found a sperm donor
compatible with you. You would’ve found a way. You're so cynical, mom! I'm a realist, Inna. Good evening. Good evening, Maksym. Would you like some coffee? No, thanks. Maxim, where did you work before? I worked in a construction company. But that was in another life. Oh, those builders.
Vika, can you imagine? When Misha was coming home
from school, a tile fell right in front of him,
from the second entrance. Oh, my God!
I'm glad nothing bad happened. You should tell the manager
of your building. What if something bad happened? I've already told him about this accident. He doesn't give a hoot. He blames the developer for everything. And that developer, Melnyk, he doesn't care
about people like us, at all.
What's wrong? Don't you like it? You asked me to cut it
as short as possible. But I like it. It's just hard to get… used to anything new. Come here. This is the entrance
where the tile fell. Pinch me! Here, take the hammer. See? You said that Melnyk,
the developer, didn't care about anyone. It's like he overheard me Look! A strange day, part two. Inna! – Is it really you?
– You look so great! You look like you've gotten younger. So, new hairstyle, new life! Girls, I wish it was that easy. Cut my hair and have a new life. Look, everything will be fine.
To get rid of bad thoughts, I recommend immersing yourself
in work. Tried and tested. Work is good, but raspberry tea and sex with a normal man will save you
from the negative thoughts! It's so hard to find a normal one!
But work will never betray you. The main thing is that you've earned
as much as you've invested.
You're not dependent on anyone. I've gone through
so many job sites today. They require you to have experience, or be under 35,
or speak multiple languages. Or they offer those pyramid schemes. Now I'm going to apply
for a job at a call center. Skills aren't required,
but they don't pay much either. Great! The main thing is to start. But don't forget about men! So, have you opened the love app? Yes, I have. And? I get all kinds of messages,
but I don't even know what to say. Those emoji and hearts
are so ridiculous! Vika is right. Work is better. Okay, I have to go. Wish me luck. Good luck! Come on! You can do it! Don't be shy! Oh, excuse me. You’re Inna, right? Yes, that's me. How is it that you have no job
and no experience at your age? – It just happened.
– It doesn’t really matter. down the numbers,
and often plastic windows. I don't know anything
about plastic windows. You don’t need to. If you can convince at least one client
out of a hundred to buy a window, that's already a success.
Then, you give
the customer's number to me. Got it? I think so. Here's your workspace. Here's the headset. And, Oh, my. A very serious guy
messaged me on the love app. How do you know he's serious? He's a handsome tech guy. He writes politely
and is offering to meet. So, I guess, why not? Katia… Why not? It's written all over your face that you've already
made up your mind and you're going to meet him. Well, who's going to stop me? – No one!
– Vika. What do you think? Have you logged into the love app
even once since you signed up? My daughter is getting married. I’m busy now. And you remember, Angela said you have to
go online and search for your love. I don't have time. But you don’t have to get married
all at once with all the wedding stuff. At least go on a date. Remember that you are a woman,
not a workhorse.
Oh. Hello? Are you here? Great. I'll be right there. You see? The delivery’s here. I'll help you. You don't have to help me. I can do it by myself. I just need to check the invoices. You mean you usually
carry it all in yourself? Yes. Maksym, I'm telling you.
You don't have to. You're not a mover. Inna, why are you crying? No one wants to talk to me. Some even use foul language. I've never heard
so many bad words in my life! What world did you live in before? A good one. Hello? Vika? Love app? Katia. I'm running late for… For my date! Goodbye. Have a great evening. Oh, excuse me. I'm sorry. There has been a terrible mistake.
Are you Vika? Yes, I am. – What mistake?
– But… Wait, wait.
You mean you didn't write it? "A café on the corner of 52
in 15 minutes. Looking forward to meeting you.” I got the same stupid message. Is this some kind of joke? No, it's not a joke. It's some kind of phone
or system failure. I can compensate for your lost time. – Would you like some coffee?
– But if you didn't write any messages, why are you offering us some coffee? – Look, guys.
– Let's get out of here, guys. If my wife said she didn't write anything,
then she didn't write anything. Would she make a date with you
when I'm here? Use your logic. What was that? I'm not your wife. Actually, I saved you. Don't do that next time. Okay. I just wanted to ask you.
If you really need money, would you like to work at night? At night? With you? Sure, with me. I'm sorry. Inna! Inna! Keep working! Maksym, I have a feeling
I have to give you a raise, because you're both
a security guard and a mover.
Besides, you're a real man. So, tell me more about the startup. We transport goods. We have seven trucks
stopped in Tenerife. What's the point of driving a truck
through Tenerife? – It's a resort island.
– That’s what my partner wanted. So I got into trouble,
but everything's okay. I found new partners today. Germans, serious guys. From Hamburg or Munich. It doesn't matter. You know cities? Yes, I do.
Oh, my God. What happened? Inna’s in trouble. – We need to call a taxi immediately.
– No need. Put a helmet on. But there is no helmet for you. – What if something happens?
– If something happens, I’ll know you’re safe. Katia, what's wrong? Everything was going fine. Yes, it was. By the way, Munich is in Bavaria, and Hamburg is a city
on the North Sea coast. They're located “very close,” damn it! Thank you.
What? What happened? The manager at the call center
said something so bad… I barely escaped. What exactly did he say? He offered for me
to work with him at night. He was probably just talking
about the night shift. I had a friend who used to work
at a call center like that. They called customers during the day
with an offer to buy windows, and if someone agreed
it meant they had money. Is it possible to sell windows
at night, too? No, there was another job at night.
You have to call the same people, and say something like,
“Mom, I'm in trouble!” In short, scamming people. I know because my neighbor
gave all her money to those scammers, thinking her daughter
had been detained by the police. Do you understand? I told you I wouldn’t
be able to survive. You fell for a scammer. Don't worry. A new day will come,
and you'll find a better job. Okay, girls. Let's go. I'll take you home. Come on. Everything will be fine. It's going to be okay. Oh. Wow! Okay. Let's go. The cognac is still here. But Vitalik… No husband, no job, nobody needs me now. Inna, please stop. You're smart, beautiful,
and a good housekeeper. Look, you'll find a job, for sure. Katia. I don't believe it anymore. Let's stop talking and drink. Inna, I'm sorry. I'm not drinking. I need to go.
Misha's home alone. Right. I'll already be so late, and… – you understand.
– Go home. Everything is fine.
What do you think about Vika
and her security guard? I think they have some feelings
for each other. Go. See you tomorrow. Misha. My boy. I love you so much. I’d move mountains for you. I’d tear everyone to pieces. I’d do anything for you. Everything I can and cannot do. My darling. You won't believe it, but that was the first time
in my life that I rode a bike. – I was so scared!
– I was scared for you, too. – We had a great ride.
– Yeah. What a crazy day. This is for you. As a reminder of this crazy day. That ended so great. Vika. You're a very strong woman, but it doesn't mean
you don't need any help. Hello. Olenka said you were working late. You really don't take care
of yourself, Vika. Sergiy? What are you doing here? Well, Olenka, she invited me to the wedding.
– This is my…
– Husband. Ex! Husband. Nice. I like it. I want a beautiful dress. It has to be perfect. You know, I don't like this color at all. It's a champagne color! Yes, I know. But you see, this is not my color. Please bring me
the other dresses I picked out. Thank you. Mom, did you talk to dad yesterday? No, I didn't. He said he's staying at a hotel,
so he went back there. You kicked him out? No, I didn't. I just wanted to talk to you first. Mom, what do you want to talk about? I told you I wanted to invite him. You should have seen how happy he was
when I found him in Kakhovka. You should have heard
how he asked about you. When you unblock your love chakra, no man will leave you. The love chakra is called
the fourth energy center. Mom? Are you waiting for someone else? Inna, what have you done to yourself? What's wrong with your hair? Mom. I'm really sorry. About what, son? I said some stupid things yesterday. I know that dads are not sold in stores.
I was angry. I just wanted to ride bikes with the boys. I'm a big boy. I understand everything. Oh, my big boy. Everything will be fine. Vika, hello. What are you doing here? I was looking for you. We didn't manage to talk yesterday. We already talked once. All right. I'm listening to you. But don't make a scene. I'd almost forgotten
how beautiful you are. You haven't changed at all. You're right. I've just gotten 15 years older. But I haven't changed. She said he was her ex, didn't she? She did. But he acted as if he had
all the rights to her. Maybe they broke up a month ago,
and now they're thinking about getting back together. And I'm coming in between them. Maybe you need to deal with this? I'd rather deal with the construction
of a new building. Mom, what are you doing? – It's an azalea.
– Azalea? You're worrying about the wrong thing.
What should I be worried about? What were you thinking… when you agreed to the divorce? Vitalik said he was leaving me
the apartment. But as for the business… You should’ve taken
a share of his business. Use your mind
instead of cutting your hair. – Business is not for me.
– But it could’ve been for you. You could’ve left him flat broke. Inna, your father and I
are not millionaires. We won't live forever. And you're not 18 anymore. Where will I find a husband for you? Maybe I want to find one for myself. Where are you going to find one? Well, my friend Angela, she installed the love app, signed up,
and is about to get married. A dating website? – No, it's a phone app.
– Unbelievable! My daughter is a prostitute. What's next? You'll tell me you're a drug addict? When I'm gone, – don't ever come to my grave.
– Mom… I tried. I did my best. This is how you repay me? I did my best.
Shame on you, Inna! Where will you go next? To the streets? To the dark alleys? Where are you gathering? Is this your way of thanking me
for taking care of you? When you left, I couldn't
forgive myself for 15 years. I was looking for you, both of you. Looking for us… But it was Olenka who found you. And it didn't take her 15 years to do it. Olenka is so smart. When I saw her,
I almost burst into tears. Our daughter is so amazing. Our daughter? Yes, our daughter, Vika. I'm her father. So, tell me. What's it like to love
your grown-up daughter? Is it convenient? No need to move
from apartment to apartment. No need to pay off a loan. Pretending you aren’t hungry,
just so she'll have something to eat! Being in the hospital, because she was skateboarding
and broke her leg. Running around the house at 2 a.m. because she didn't answer
her phone! Is it convenient?! It's not convenient.
I was thinking about you every day. Yes, it's my fault. I made a mistake. – I was young and foolish.
– You made a mistake… But I've loved you. Since high school. People used to call us
the perfect couple in Kakhovka. Remember? First love just doesn't rust. I've just realized that… we have similar professions. A good realtor needs to be
a good psychologist. Don't you agree? How would you sell apartments,
Andriy, being a psychologist? Probably the same way you would. I'd look for the key to the clients,
and then I'd use it to open the door.
I also like… I also like that you call me Andriy. What did they call you
when you were a kid? – Katrusia.
– I knew it. Should we get cotton candy? Like when we were kids. Okay. How is Yarik? He got married? Congratulations. Wonderful news. It was nice to hear from you. Hugs and kisses to you. Damn it! Alla, lunch was wonderful, as always. For dinner, I'd like you to cook trout, with vegetables,
the way you usually do. And make some meringues for tea. You're talking a lot today. – Blah, blah, blah!
– Pasha, Pasha… I have no choice. I never thought that at my age, I would have to find
a new husband for her. Let's sell our country house. – We don't go there anyway.
– Pasha. Inna doesn't need money. Spending money is as easy. Don't you see our utility
and food bills? What if we die? She needs a husband. A woman is happy
when she's married. All right. But what if you find her husband
and Inna doesn't like him? I'll find a good one,
and she'll like him.
She will cook him whatever he wants, and we'll be confident in her future. When you married me,
did you think the same way? Pasha… No, I didn't, Pasha. I love you, more than life itself. Nadia, I'm glad to hear from you. Don't forget about trout,
vegetables, and meringues. Pasha! How are you? – Bon appetit.
– Thank you. – Oh!
– Here you go. Wow. It's just like when I was a kid. Who used to buy you such treats
when you were a kid? My dad. But that was a long time ago. My dad used to buy me treats, too. Sorry for the indiscreet question. Is your dad…? If it's hard for you,
I can avoid talking about him. But it seemed like
you were happy with him. Yes, I was happy. Until, one day, he just left us. How old were you? I was six. One day he just packed his bag. Mom wondered why
he was going to the factory with such a big bag,
but he just waved his hand.
We found out later that… he packed his stuff, money,
documents, and went overseas. He sent a letter to my mom, saying that… he wanted to start a new life, so he filed for divorce. So, that's how my “happy days”
with my dad ended. Everything's fine. It's okay. No need to feel sorry for me. I moved on with my life. My girl. My poor girl. My dad ran away from me too.
I realized at once
that we had a lot in common. Here's Anna Slavinska. She got married to a German. She is such a “Frau” now! And here's Oksana. She became a director of
the Community Center in Kakhovka. Back in school, she was responsible
for all the cultural events. Yeah. Now guess what Ihor is now. – A locksmith?
– No. – A driver?
– No. I don't know. He's a school principal. Ta-dah! Ihor is a school principal? Huh! – May I speak with you, Mr. Ihor?
– Good evening. Good evening, Maksym. Sergiy! I’m sorry. I couldn't resist. It's inappropriate. You're the boss. How about going to the movies tonight? Just like the good old days. I don't know.
Come on! Or do you have other plans
with this one? Maksym is just a security guard here. A security guard who walks you home? Look, for 15 years, you didn't care
who I was with – or who walked me home.
– Now it’s important to me. So, have you checked the estimate
for the legal costs? Are there any hidden pitfalls? So, let's go to the movies! It'll be our first date. Maybe we have a chance
to get back together. I've dreamed about it for so long. Okay. All right. Bye. So, you're a security guard. That's right. Know your place, security guard. This is my wife, and I will be the one
to walk her home – and give her flowers.
– Hi, Maksym. I've said everything. You heard me. So, we're going to the movies? I'll buy the tickets and call you, okay? Is that him? Oh, my God! So, what? He invited me to the movies.
– It’ll be a kind of a first date.
– Hi! – Hello.
– Hello. So, did you see him? See who? The guy who just left the café. That's Vika ex. Or maybe not! I didn't pay attention. Why “not ex”? – Did he come to apologize?
– Well, he invited me on a date. Oh, my! Maybe my Vitalik will come back. Uh-huh, I see him flying to you
on the wings of love. Do you think I never believed that my dad would come back
to my mom, or that Misha's dad
would come back to me? No.
That asshole ran away. Never seen him again. Oh, girls! I wish I'd meet my one and only,
but things are different… in… in real life. Do you remember the first time
I invited you to the movies, and you didn't want to skip class, – but I convinced you?
– Yeah, I remember. And do you remember that,
there was a song, I don't remember its name now, but it said that… you can’t step into
the same river twice? Vika. That's a completely different river now. The water’s still now. I've grown up. I realized I've done
a lot of stupid things. You did. But that's all in the past. I'm not asking you to answer now, but do I have a chance
of being forgiven? You told me I don't have
to answer now.
But promise to think about it. I will think about it. You promised. You just promised! Delivery for Viktoria Kovalenko. That's me. Here you go. Please sign here. – Thank you. Have a nice day.
– Done. You too. Bye. Everything is so… delicious. Thank you, Andriy. I really wanted to please you. Well… It's not about pleasing. It's about spoiling. You were made to be spoiled. You're very generous. Order whatever you want. Really? Does that mean ice cream? There will be, my dear. And not just ice cream Hello… Sorry… I didn't want to disturb you…
But… HELP! What happened? Tell me! Money…
Not enough at all… And soon, bills… So, in the evening in the café.
I have some money on my accounts. Me too. We’ll deal with it. Can I ask you a question? Sure. Did you just text someone? Oh… It's not what you think. My friend is having some problems,
so I'm supporting her. You're a very kind person. But what was I supposed to think? Well, you might think I was chatting
with other guys, but you're the only one for me. I swear. The only one? Not the only one. I have… a son. Please don't tell me
you have a husband, too. He… ran away as soon as I found out
I was pregnant.
Well, here's to you. To your ease
and straightforwardness. Let's go to my place tomorrow. Why not? I just need to be back home by seven. Misha gets home from training by then. Inna! – Hello.
– Hi. I didn't recognize you at first. How are you? I'm fine. Vitalik, that's everything now. And, uh… Who’s this? No one, sweetie, no one. Let's go. Got everything, right? – Everything?
– Yes. – Goodbye.
– Thank you. Goodbye. – Vika, hi!
– Hello! You're glowing! – Did you fall in love?
– Maybe I did. Look at you! You're shining! Oh! Where did you get
such beautiful flowers? Are they from him? You know, Sergiy hasn't forgotten
what flowers I love. And he made such sincere apologies
for everything he did. – I feel sorry for him, honestly.
– So, it's your second honeymoon? Inna. I'm no one.
Jeez, what jerk told you that? I ran into Vitalik with his new wife. She asked, “Who is this?” And he replied, “No one.” At that moment, I wanted to die. – What a bastard.
– He's right. Who am I? I'm a no one. You know, girls, all my life I dreamed
of having children, as many as flowers. Now, I think maybe it's good
we didn't have them. I don't know how to survive now. But what if I had a child? Nonsense. If you had a child,
you would have survived at any cost. Just trust me. That's true. That's true. Girl, there's no need. Here you go. But I should pay you back. You can pay it back later. Go ahead.
Take it. Thank you, girls. No problem. Breathe deeply
and try to calm down. Stay calm. Come with me. Because Vika is about
to close the café. Come on, let's go. You have us. – Things will be all right.
– Everything will be okay. Have a romantic evening. Everyone deserves happiness. Even an ordinary security guard. Have a nice evening, Maksym! You'll get through it. Calm down. Vika. – Yes?
– I need to talk to you. Seriously. So seriously? Yes. I want to tell you that… Okay. I quit. Oh. Is something wrong? Everything's fine, but… I've just decided to return
to the construction company. That's a pity. I thought that… What? That you're a really good… Hey, Vika. security guard. I remembered. I didn't forget. Thank you. I'll work until the end of this week so you can find another
security guard.
Hey, let's go for a walk,
like we used to. Let's go. Then, he said to me, “Do you want to be the administrator?” Of course I did. Olenka was a little kid,
and we needed money. That's how I started
to learn accounting. Later, the owner offered for me
to become the director. You're so strong. You became the director. That's so cool.
Well, what about the café? – Is it hard to do it all by yourself?
– I just didn’t want to depend on anyone. Yeah, it was hard at first. I had to pay off the loan
for the apartment, and Olenka’s tuition fees. But it's okay. Everything worked out for me. It must have been so hard for you. I'm so sorry. Damn, I was such a fool. So, is your café
a profitable business? Yes, it is.
Can't complain. Inna?
How about meeting up? I do not know… Why? do you not like me? I got divorced not so long ago. I’m not ready for a new relationship. And if it's just a meeting? Okay, let's just have a meeting. Here, Olenka played
a squirrel in kindergarten. Aw, sweetie pie. Oh, I remember. She got sick before
the New Year matinee. The teacher's called,
and wished her to get well soon, because no one could memorize
as many rhymes as Olenka. She's a seventh-grader here. She won a math competition that year. You're both so beautiful. You're my sunshine, Vika. Wow! You did such an amazing
renovation of this apartment. I'm so sorry you had to do
everything yourself, my girl. I'm not a girl anymore, Sergiy. Would you like some tea or coffee? No. I'd rather look at you. You've been talking
so much about me. How brilliant and smart I am. Yes, I have. But you haven't told me anything
about yourself. About me? Let's see. I was worried about you,
looking for you.
If you're talking about my work, things are going well in Kakhovka. I'm running two businesses. I'm standing on my own two feet. I just didn't get married. – That's strange.
– Why is it strange? I was thinking about you all the time. When you left, after everything
that happened, when you went away, You sold your parents’ apartment, so where was I supposed
to look for you? You didn't even leave an address
so I could pay alimony. We don't need your alimony. The only thing I am really grateful
to you for is that I have Olenka. That’s her at the graduation ceremony. Time goes by so fast. You know, I have an idea. I'm going to give Olenka an envelope with money,
as a wedding gift. And there will be much more money in it
than I owe you for all these years. Vika, I missed you so much. Sergiy… What? It's too… It's too fast. Why is it too fast? You’re my life.
You mean everything to me, Vika.
I think I got a call. – So, coffee?
– Sure. Here we’ll put in
a concrete partition. But I think we can reduce
the amount of supplies by 5%. There’s no room to reduce more. Maksym, we're using
German windows, Italian tiles. What about delivery? Customs? Don't worry.
The construction estimate is real. Vadym, give me the contract, please. I'll sign it. Here you go. Give me a pen. Wait. I still need that piece of paper. It's just trash. It's not trash. – Vika, take a picture of us together.
– Great! Mom. – What?
– What's wrong? I still can't believe it. A wedding, another country. Everything happens so fast,
and you're only 18. Vika, come on. Do you remember
how old we were – when we got married?
– We were 19. Well, youth… is such a great time, for love, for changes in life, for everything new. And we're both still young. – Yes, we are.
– Mom, dad, I'm so happy that you're together. Really. I love you so much. Really. How about lunch? Sure.
Do you mind if we split the bill? You did insist that it's not a date,
just a meeting. Yes. It's just a meeting. You should order something. The stakes are fantastic here. I'm on a diet. Then you should order something light. Dorado and seafood are delicious here. You know, I have a special regimen. Oh, I see. Oh, woman stuff. But looking at you, Inna, it's… clear that this stuff really works. I still need to learn
to look like you. Inna. You don't talk much about yourself. If it's not a secret, why did you
divorce your husband? You know, I'm not ready to talk about that. I understand. It's an inappropriate question. I'm sorry for asking. What do you do for a living? I'm not ready… to talk about that either. You are such a mysterious woman. Let me ask you an easy question. How many children do you have? We're going to have a baby.
If you’d given him a child,
he wouldn't have left. Or even better, two children. He left, why? Because he's having a son
with another woman, an heir. Who's this? Interested? Who can I talk to about work? You can talk to me. Any experience? I have no experience, no skills. I have nothing. But I know everything about flowers. Totally, everything? Come in. What should I do with this plant? Cut off the leaves or leave them? Are you kidding? No way. This is a croton.
It should look like this. Just make sure
it's not exposed to direct sunlight. Did you study biology? I don't have any formal education. I love flowers,
and grow them at home. Orchids, I suppose? Orchids, azaleas, lithops.
I also have a croton – and a hippeastrum.
– What? Hippeastrum. It's also called an amaryllis, – but amaryllis…
– Stop, stop, stop! My head is spinning. Anyway, I'm hiring you. I knew you were hot. I'm going to take a shower. And then we'll continue. Happiness is there! So, where did we stop? No, no, no, no. That's enough. – No.
– What do you mean, enough? To the health of our daughter.
The only one. – No, thank you.
– Okay, then I'm going to drink up. Our song. – Shall we dance?
– Let’s drink tea. Well, let's dance. Let's dance! Well, a little? What are you doing? Do you remember
when we were with you? I missed it so much. You know, carnations are a great choice,
but you said you wanted to propose? I think roses would be
a better option for such an occasion. Come here. I'll total it. 500, please. Here you go. When she sees these
beautiful flowers, she won't say no. Thank you. You’re a wonderful person.
Goodbye. Thank you. Well done, Inna. You sold expensive roses
instead of those cheap carnations.
I only meant well. That's what I'm saying. Well done. I'm so happy too! And I! And I! And I! Katia. Are you here,
or somewhere else? Can you ride a bike? Yes, I can, darling. I can do everything. Why are you asking? Oh, I'm just curious. Do you like children? Do you know the saying, “Children are the flowers of life, but it's better to let them grow
on other people's windowsills.” Look, I need to go. When will I see you again? I don't know.
Andriy, maybe never. Listen, you don't have to apologize. Everything's fine. You're just not the one I need. Let's go. I have a surprise for you. Maksym. You're so serious today. Give me a smile. Life is beautiful. Yeah, you're right. It doesn't get any better. They’re standing there,
and he says, “Listen, why do you need
the fifth handbag?” I mean, I wear the same
pair of jeans all year round. Friends, believe me.
I couldn't resist. I turned to that girl and said, “Run!” Just so you understand, I'm buying my tenth pair of jeans. Girls, you must agree
that pleasing yourself is not a sin, but the greatest pleasure. And guys, trust me. If your girl is happy,
you'll be happy too. Don't believe me? Then ask my husband what happened
after that tenth pair of jeans.
That's all I wanted to say. Thank you! You've been a great audience! Hello, everyone. I would say “good evening,” but it's definitely not good. Those who were dumped by a girl,
please applaud. For reference, I've just been dumped too. I'm not crooked or hunchbacked. I earn money. So why was I dumped? Any guesses? You betrayed her! That would be too easy. Any other guesses? Impotent! Nice to meet you. My name is Andriy. Guys, in fact, women have
many more serious problems. I'm telling you this
as a professional psychologist. Here's an example. Long ago, my beauty was abandoned
by her father, then by her son's father. And what happening now? Now she's the one
abandoning everyone. You can say it that way, but psychologists call it trauma. So, if she's a bitch, she's traumatized? Wait. Who am I to you? A doctor or a man? Am I to blame for your trauma? Was it me who caused
your mental issues? I don't care about your trauma.
And you know what's the funniest thing? She thinks she dumped me. In fact, life dumped her. And tomorrow, I will find another one
without rats in the attic. Vika! Hello. Hi. I'm so happy! – Why?
– Why? Because I'm grateful to you and Katia, to both of you. – For what?
– You've supported me so much! My mom gave up on me. But you guys always believed in me. Today, I received an advance. – I want to pay you back.
– Forget it! You can pay me back later.
You said that
you need to pay the bills soon. Thank you. You were absolutely right. Men are not the key to happiness. You're happy when you work. Well… we need men to be happy. What do you mean? Just a few days ago,
sitting at this table, you said that work
would never betray you. But if trust does… appear… one does not interfere with the other. Where's Katia? She hasn't been around for a while.
She sent us that message
that everything was wonderful. Maybe that “wonderful” is still going on. Sorry. Hello? Mom? I'm home. Is everything okay? Yes, everything's fine. Wash your hands,
and let's have dinner. Were you crying? Why would I cry? When have I ever cried? Your eyes are red. Don't talk nonsense. I was just driving
with the window open. – I need to get my eyes treated.
– But mom! No “buts.” Dinner is getting cold. But I'm telling you,
it's some kind of mistake! Yes, I'm Viktoria Kovalenko.
Check again! Because he can't be. Yes, I’ve known Sergiy for a long time. Yes, he's my ex-husband. So, call him! Why are you calling me?! How much?! No, listen to me! You've got the wrong person, okay?! I don't owe you anything! Throw them away. Vika. What happened? It's some kind of mistake. Who called you? Some man. He said he works at Kramer Bank. He said that Sergiy piled up loans, and listed me as a guarantor. This is some kind of stupid joke! – But what if it's not a joke?
– I’m going to check what kind of bank it is. They said Sergiy changed
his phone number, so now I have to pay them back. Oh, my God! How much? A hundred thousand. Just throw those flowers away! Vika.
When you called me,
I hurried to get here. – You're here.
– Yes, I'm here. So now you can explain. What do you mean, Vika? You know what I mean. Why the hell is the bank calling me? Why the hell do I owe
100,000 hryvnias?! Why are they telling me
I'm your guarantor?! Just don't lie to me and say that you didn't take out a loan
at a crazy interest rate! I did. I really just don't know
why they're bothering you. You said you were standing
well on your own two feet.
You're running two businesses. But how did you forget to mention
that you owe so much money?! I didn't list you as a guarantor. I swear. I swear on Olenka's health. Don't you dare! Vika, wait! Mom. Mom! I saw it in a movie.
Zombies get up like that. What time is it, son? It's 8 a.m. I overslept! You didn't.
Everything's fine. I've already had breakfast
and made some for you. And it's great you got enough sleep.
You were crying last night. Yesterday, I thought we had
a lucky streak. A lucky streak? Girls, let me tell you
about my lucky streak. It's just so much fun! And what does it all mean? Olenka found your ex-husband
in Kakhovka, and invited him
to her wedding, right? Does it mean that he has the right to get all the details,
passwords and phone numbers? – Katia, calm down, please.
– No, I won't. Inna told me that he took loans
in your name. Stop. First of all, he swore to me that
he didn't take anything out of my name.
Secondly, I'm not going
to pay them anyway. But they're demanding it. I don't care. I'm not stupid. I was up all night looking for some
information about these debt collectors. – Okay.
– Found something? Nothing! They don't even have an address. Kramer Bank. What is it? Where is it? Who are the people working there? They call me from unknown numbers, only text with payment details. That's it. I've heard about those vultures. So, if Vika says that Sergiy
didn't list her as a guarantor, everything will be fine, right? I went and checked out this Kramer Bank. Maksym, I must say that experienced spies
don't hide better than these guys. – These are definitely collectors.
– Absolutely. Nothing is sacred with them. They call themselves
a bank subsidiary, but they have nothing to do
with the bank.
Tell me. Why do we need them? Our company doesn’t even work
with small banks, let alone collectors. It's not about the company. It's a personal matter. Give me their address. I need to have a serious conversation
with them. Do you need my help as a lawyer? No, thank you. I can handle it myself. I'm a lawyer by education,
too, you know. I think I found my perfect dress. Honey. You look amazing. Really beautiful. I have… something I’d like to tell you. Did something happen to dad? No, no, no, no. Everything's fine with dad. Everything's fine with dad, but… – This ‘but’ scares me…
– Don’t be scared. I just… want to let you know
that I'll be coming to your wedding without your dad. That's all. What do you mean, without dad? – Then who with?
– I’ll be coming with another man. What other man? But I thought… Honey, I didn't tell you who
you should marry with. The dress is awesome! Can I pay with a card? {\an8}Thank you. Have a nice day. I know that sound. Using the love app? No, I was just looking through it.
I could eat a whole elephant
when I'm angry. I'm not joking. Now I need to find a lawyer
and go to court. Hiring a lawyer costs a lot of money. I sold an apartment to a lawyer once. I'll give you his number now. Great! Tell him that I recommended you
so maybe he'll lower the price. Here you go. Yeah. Thanks a lot, Katia. One less problem to deal with. One less? Vika, what other problems? I told Olenka that I'd come
to her wedding with another man, not with Sergiy. But where can I find one
by the day after tomorrow? You can hire an escort
as a last resort. Or I don't know… Oh, I don't even want
to think about that. Vika… you're in trouble. You're right. {\an8}"Today, things will change for the better." Oh, yeah, that's hard to believe.
What about you? {\an8}"Today, your problem
will be easily resolved." Easily? I wish it would. How did you find us? Kramer Bank? Is it your company dealing with
Viktoria Kovalenko’s loan guarantee? I can't disclose that information. I'm not asking you to. Call your director, and tell him that Maksym Melnyk wants to have
a serious talk with him about a case for 100,000 hryvnias.
The same Melnyk? Hello, ladies. – Hi.
– Hi. Why are you so sour? Because we ate too many lemons. Angela, you're lucky
I didn't see you yesterday. I would’ve strangled you
because of your stupid app. – Did you run into a jerk?
– I was dragged through the mud. Then, everybody made fun of me
in a club. Look, I ran into all kinds
of weirdos there. Idiots are a dime a dozen, but you have to find the normal guy. But if you don't do anything,
you'll keep sitting here with sour faces. It's better to do nothing at all
than to go into that nest of scammers
and psychopaths. Take a better look at your Arsen. Did you just call my arson a psychopath? Better watch your mouth. You should choose your words carefully,
and use your brain before recommending
suspicious apps to your friends! Idiot. Just like you! And then I'll take you to court
for the theft of personal data.
There was nothing illegal here. We didn't steal Viktoria Kovalenko's
phone number. Her husband gave it to us. This is a standard procedure. First of all, he's her ex-husband. Second, did Viktoria Kovalenko give
her consent to use her personal data? If she did, show me a document
with her signature. But I know for a fact
that you don't have such a document. Can we come to some kind of agreement? I think we can.
Now take your phone, call Victoria Kovalenko, and tell her that there was
a mistake, and that she doesn't
owe you anything. And don't forget to apologize. Hello? Yes. Well, I told you it was
some kind of mistake.
Okay, thank you. What’d they say?! What’d they say?! You won't believe it. Today's fortune said that my problem
would be easily resolved. How can I not believe it
after that, Angela?! Damn it. Hello? Is everything okay, Misha? Wait. I'll be right there. Hi, are you Misha's mother? I'm Mykolay, his sensei. I've already figured it out. Misha! What happened? Did someone hurt you? Get up and show me who it was. No, mom, everything's fine. You know, Misha’s been acting weird
at training sessions lately. He's been distracted, indifferent. Oh, my God! The images I had in my mind!
I rushed here like crazy! And you're telling me
it's about my son's indifference? Isn't it your job to keep
the kids interested? Yes, it's my job.
– And trust me; I do my best.
– Yeah… I've been coaching for years,
and I've noticed that kids start acting like this
when they have family problems. They're very vulnerable at this age. Listen to me, psychologist! Everything is fine in our family! Got it? Or should I repeat myself? Mom, don't yell. Mykolay is a great sensei. Sweetheart, why are you so sulky? Is it because of the bike? Let's go buy a bike today, hm? After the training session, okay? I don't want to, because I don't know
how to ride it anyway. Never mind! I can teach you. You can? Of course I can. But first, you need to warm up. I was wondering who gave Misha
such a fighting spirit. Now I see. What's your name? My name is… Katrusia. I knew there was some kind
of mistake with the bank. Oh, I still can't get over it. Relax, Vika. You know, Inna, you've changed so much
since you started working, like a blossoming flower.
It's not just about work. I got a message from a guy
named Oleg on the app. I like him. Oh, he's handsome! But, Inna, you always wanted
a serious man, in a suit. I did, but I can't get Oleg
out of my head. – So, write to him.
– Write what? Well, you can start with… with hello! Training is over. Misha. Well, look at you. I never knew aikido is such
a beautiful martial art. It's not just beautiful. It's a whole philosophy. So, it's time to ride a bike. But we don't have one. That's okay. Let's go buy one now. Why waste time? We can always rent a bike. Holy shit! Is that your boyfriend? No, I was just looking at his profile.
I wouldn't just look at that guy. He's a walking sex symbol. Tell me his name,
and I’ll find him on the app. I don't remember his name. {\an8}Good evening. {\an8}A very, very good evening. I'm glad to see you
in such a good mood. Here you go. You can't imagine how nice it is
to be in such a good mood. Something must have happened. And this something is very, very good. Yes, something did happen. I got a call from the bank, and they told me
there was a kind of mistake, so I don't have to pay them
so much money. Congratulations. Yesterday, I thought
something was wrong. I'm happy for you.
You can't imagine how happy I am. I'm riding a bike! – You see? You can do it.
– I’m riding a bike! You just didn't believe himself. Well done! My Sasha learned to ride a bike at five. and this one is just starting to do it. Shut up! Doesn't matter when he started
riding a bike! You're doing great! Remember?
You said you couldn't do it. Mom, you should try. It's easy. We'll help you. – Right, Misha?
– Of course! Whoa, whoa! – I'm not holding you.
– Okay! Whoa, whoa! Well done! Whoo! Let me help. Oh, you don't have to. Thanks. Sometimes the pipe bursts here,
but it's just an everyday situation. I'd like to congratulate you once again on the fact that everything
has been resolved with that bank. Thank you. I’m in such a great mood today. I want to jump and celebrate
all day long, So, maybe… It means that Sergiy didn't lie to me, and didn't list me as a guarantor.
They confirmed that it was a mistake. So, he wasn't lying to you. And I've had all these ideas in my head. Can you imagine? I can. Thank you so very much. It's time. I'm going to go. Okay. See you tomorrow. Goodbye! Good morning. Good morning. So, do you live nearby? Not really. I have the addresses of all my students,
and therefore, their parents. These are for you. For me? Yes. For what? I was on my way to work, and realized that I didn't
thank you for yesterday. For a yelling at you? Don't thank me. I should be thanking you. You defended your son
like a real mother. To be honest, I wasn't outraged. I was even touched. Oh, yes. I'll tear anyone apart from Misha. So, do you have any kids? Yes, twenty.
– How many?
– Twenty. My students. Students! Unfortunately, I don't have any of my own. But let's not dwell on sad things. Will you come to the next
training session? It would make me happy
to see you there. Sure. Vitalik? Are you going to the store? Good morning to you too, mom. I'm off to work. To work? – Yes, to work.
– And? What is it that you do for a living? Do you sweep floors? Or maybe you're a cashier? I sell flowers in a shop. Yesterday, she cut her hair. Now she sells flowers. So… you’re not going to work today. Why? Because you have a date
with Volodymyr. Who is below Tamir. He’s aunt Raya's son. He’s just divorced that whore of his, and now he's looking
for a good wife. I've already given him
your phone number. Mom, I need to go to work. Oh, my God! What am I going to do with you? Grow up! You can always take off of work, but it's very hard
to find a husband at your age.
Hello, what's your name? My name is Inna. Please come in. He's waiting for you. You’re Inna? And you're Volodymyr,
aunt Raya's son? That's absolutely right. These are for you. Inna, I hope you don't mind
having lunch. Do you like French cuisine? Please. Sit down. French cuisine is a classic. I don't understand
all the trendy fusions at all. Your mother sent your picture
to my mother, but your hair was longer
in that picture. Now I have this hairstyle. No problem. You can grow it back. Please. Let's start with the onion soup, then the quail à la Richelieu. And you can choose the dessert. How about a cherry confit? No, no. Tarte Tatin would be better. Thank you. Volodymyr. How should we split the bill? Fifty-fifty? Oh, these modern feminist things. The man should always pay the bill. Okay. What are you doing tomorrow night? I would like to invite you to the opera. Verdi's "La Traviata"
is an immortal classic. Misha? Hi, mom.
I was talking to Mykolay, mi sensei. Wait. You don't have a training session
today, do you? I joined the older group. I invited Mykolay over. We’ll be there soon. Damn it! Vika. – Hi.
– Hello. How are you doing? I'm okay. Are you still mad at me? There's nothing to be mad about. They called from the bank yesterday, and said they messed up something
with the loan guarantee. What do you mean by that? Yes. That's what I mean. So, please forgive me for accusing you. I told you that I didn't list you
as a guarantor. But you didn't believe me. I've already apologized to you. They just filled my head
with such nonsense. You have to understand. – It was hard not to believe them.
– Those bastards! Let's let it go. Olenka told me that you're going
to the wedding. With another man. That's not true, right? You're just kidding? But if I'm not? Darn it, Vika, no! You…
You were mad at me yesterday. You said a lot of stupid things
in the heat of the moment. But still, we agreed to go together. Besides, the bank issue was resolved. Yes, it was, Sergiy. But, you know, trust is fragile thing. Hard to gain and easy to lose. Sorry. I'm not ready to go
to Olenka’s wedding with you. Then who with? You don't have anyone else. What makes you think that? Maybe I'm in a relationship
with someone. Oh, that's very interesting. So, you're with me and him? We were in a break
in our relationship at the time. Kyiv changed you, Vika. I never thought you'd become like this. Wow, it smells so good! But wait. Let it cool down a bit. It's so cozy here. I'm convinced that only a real woman
can create such a cozy atmosphere.
You can't fake the taste of tea
or the smell of pie. If something is pretend and insincere, you can feel it right away. Okay. Here you go. Wow! Oh, I forgot. I brought some more candy. I'll bring it. Will you visit us again? I will, if you invite me. I'll invite you. I'm excited to invite you, because my mom hasn’t baked
anything for a year. Maksym, wait a moment. I want to talk to you. Sure. I want to say… thank you,
and express… my gratitude for everything.
For… everything? For the job. Here. Take it. You really earned it. No need to rush. I'm still working for you tomorrow,
and I can take it then. This job, it wasn't money
that was important to me, but other experiences. You know, I… I… find it very hard
to get used to new… people. But you were such a pleasant… exception, and I will… I will miss you. As a security guard. And I’ll miss you, too. I've never had a boss… like you. Here you go. Thank you for your professional advice. May your orchid grow
for a long time. Goodbye! Have you lost your mind? Why are you talking to me like that? Because you deserve it. That lady wanted to buy a big orchid. Why not sell it? That big one is sick. I'm going to treat it. I brought some fertilizer from home,
and we'll sell it later. We could have sold it today.
This flower will die
without proper care. That would be perfect. Then she will come back! Sveta, that's a cruel thing to say. Look, don't tell me
how to run my shop. Are you talking back? You've only sold a few bouquets. You were playing hooky yesterday. Besides, you've been glued
to your phone this whole time. This isn't a dating service. I only use the app
when there are no clients. Look, I'm sick of you. You'll sell everything I tell you. I don't care if the orchid
is sick or dead. I won't go into the red because of you.
You're going into the red
because of yourself, because you know nothing of flowers. You're fired. Hi! Can I help you? Yes, please. This is our new collection. Let me show you. You see how bright it is? Yes, but… I already have a closet
full of similar things. I'd like something… romantic. Maybe this? Do you like it? Oh, I like it. I'll try everything on! Mom? Misha! Is yours here too? Yes. Which one is yours? The sensei. Oh. What do you mean, sensei? He's my husband. Inna, you look gorgeous today. Thank you. We're on
a first-name basis now? We're on a first-name basis now? I see you're a woman
from a decent family. We can take our time
and switch to a first-name basis after the first act. I ordered us box seats. After the opera,
we're going to your parents. They're waiting for us for dinner. Why did you leave
the training session? I did the jiyu waza technique so great! – But you didn't see it.
– There were reasons for that, son.
Did you get a call from work? Mykolay said we’re about to have
the next kyu test. Hey, there's a new aikido school
near our house. Yeah, I noticed. I'm going to enroll you there. Jiyu waza and kyu will be there too. I don’t want to. It's better this way. Okay? Why?! Better for who?! For both of us, for you and me. Let's go. Until you explain, I'm not going
to be enrolled anywhere.
All right, I'll explain. I hope you'll understand. You're not a kid anymore. Mykolay lied to us. What do you mean? Did you see the woman who was sitting next to me
during the training session? She's his wife. I'm sorry. – Hello?
– Hi, Maksym. Do you have a minute to talk? Yes, sure. Are you coming to the café today? – Is something wrong?
– No, no, everything's fine. I just need to talk to you. I'll be right there. I'm sure you'll manage… without me. Dmytro, to the café. But the city is stuck in traffic jams. Dmytro, I don't often ask for a favor. Please come up with something. Hurry up. I'll pay all the fines. She called me. I'm afraid something might have happened. Where are you going?! I'm a driver, not a magician.
I shouldn't have gone
to those negotiations. Pavlo, Alla. Inna and I
met quite recently, but I feel like I've known her
all my life. Therefore, I won't delay. I would like to ask for
your daughter's hand in marriage. Okay. Volodymyr! Why didn't you ask me first? I'm sorry, Inna. I was in a hurry. Inna, will you marry me? She will. Wait. Mom! Why do you make
all the decisions for me? Volodymyr, we hardly know each other. You think you know
what kind of desserts I like, what the opera I want to go to, but you haven't even asked me
if I like opera. – But you do like it.
– Yes, I do. But that's not the point. I need to think. That's right. You should think about it. – This is a serious decision.
– But not for long.
You have a wonderful daughter. Thank you for her. I realized a long time ago that a man and a woman
should be raised in the same way. They have to be cut
from the same cloth to build an ideal family,
just like yours, where the husband works,
and the wife takes care of the family home. Well said. I know that your marriage… I know that your marriage broke up
because you can't have children. I can. My husband and I couldn't. Okay. Don't worry. I have kids, and, you know,
it's even better without them. Life is calmer. – I can still have children.
– Why? It's getting up
in the middle of the night, children crying,
walls covered in drawings. Do you really want that? I need to powder my nose. So, you just ran away? Yes, and turned my phone off. I would’ve done the same. Vika, please tell us something good. Have you decided who you're going
to Olenka's wedding with tomorrow? Vika! I'm sorry for taking so long.
Did something happen? No, nothing serious, but… will you be my wedding date? Hello! Hello. I like to introduce you
to each other. This is Maksym, and this is Olga
and Valeriy, Roman's parents. Nice to meet you. And almost Olenka’s parents. Be our guest and help yourself. Your seats are in the front row
next to the yard. Make yourself comfortable. – Oh!
– Mom! You're stunning! Sweetheart. Mom, I'm so happy.
But… – Why?
– I'm also so scared. I don't know. Tell me. – Yes, sure
– Is it okay? But I hope you're not going to run away
from your wedding, are you? No, mom, I'm not. Why would I? I've never ran away
from Roman in my life. I wish that your life will always be
like it is today. Dear friends, on behalf of the bride and groom,
I welcome everyone to this incredible wedding. Today, two loving hearts, two soulmates,
will unite under this arch. Olenka Kovalenko, do you agree to take Roman Bondar
as your lawfully wedded husband? I do. Roman Bondar, do you take Olenka Kovalenko
as your wife? I do! Okay.
Please exchange the wedding rings. I now pronounce you
husband and wife. You are now family
from this moment on. Shameful. It's so shameful of you
to invite a guest, a potential fiancé,
and then run away! I didn't invite him. What will aunt Raya think
of me and dad? You’re worried about
what Aunt Raya will think. You don't care whether
I'm happy with this man or not. And why wouldn’t you
be happy with him? He is rich, reliable,
and well-educated. He’s a catch! Or have you already found
someone better? Where is he? I haven't found him yet. And you won't find one! You'll be selling flowers all your life. I won't. I got fired.
That's wonderful. Wonderful! No job, no money, no husband. Is that how you see your future? Listen to me carefully. Yesterday, I told Volodymyr
that you felt sick and went home. Tomorrow, aunt Raya’s coming back
from Malta. We're having a big family dinner
at our place at 7 p.m. The main thing is to pretend
that nothing has happened. No. What do you mean, no? It means I won't come. Because I don't want to be
with this man, mom! When Roman was seven, he said, “Mom, I’ll never get married. I'll never find someone like you.” It became a family story. But then, years went by.
One day, Roman came to me
and said, “Mom, I met her!” Children, be happy! Now a kiss. Congratulations! Now we would like to hear
some of the other family stories. We invite the bride's mother
to say a few words. Vika, please! I'm the bride's father. Let me speak. As they say in football,
our team is making a substitution. The floor is given to the bride's father. Olenka, I love you so much. I've always loved you,
and I always will.
Be happy. Roman, take care of her. You're a real man. As for me, I lost my love. I'm all alone now. I'm… all alone in the world. And she's making fun of me. She came to the wedding
with some random guy. With a security guard
from her café. Damn it, Vika.
Why are you doing this to me? I feel bad enough
without you doing this to me. Now, a kiss. Let the music play! Hello. May I come in? We can talk here. Okay. Misha was absent for training today. I transferred him to another
aikido school. Katrusia, I don't understand. Did I do something wrong?
What happened? Nothing happened. Everything is fine.
Everything is perfect! The only thing I ask
is that you never come here again. You have a beautiful daughter. And it seems like she's really happy. Thank you. I hope she'll be happy all her life. I'd like to thank you,
for playing…
The role of my date
at this wedding so well. But what if I’m not playing? Vika! Will you dance with me, like we did before? It's okay. Let's not make a scene. Everything's fine. Okay. You replaced me… with this security guard? Sergiy, don't embarrass yourself
in public. Don't do it here! Okay, I won't ruin everything. But will you lend me some… some money? What? You have a business, an apartment. Those sharks from the bank,
they're attacking me. Please, just give me some money! Please! I swear I'll pay it back! I swear. Just, please,
give me some money. I'll pay it back. I'll pay it back! Please!
I'll pay it back! Let me go! You replaced me with a security guard,
You won't give me any money. Tell me. How did you manage
to remove your name from the list of guarantors, hm? You’re a monster, Vika! – A monster!
– Sorry.
Everything's fine. You have to understand. Such a celebration
doesn't happen every day. Listen to me. You're leaving now! Washing up, sobering up, and not approaching Vika anymore. Who the hell are you to tell me what I should do? I'll smash you. Let go of me! First, let's make a deal. You're going… to Kakhovka. And spend your own money
on your gambles. Leave Vika alone! Get out of here! Here! I'm sorry. It's okay. I can't. He's my husband. Everything okay, Misha? No, it isn't. I don't like this new school. What's wrong with it? Maybe you're not used to it yet. The sensei is a bit weird. I asked him when we were
going to practice buki waza.
What's that? You know, it's… when you're using weapons. But he didn't know. Just tell me. Are you sure about Mykolay? Maybe he is not a liar at all, and it just seemed that way to you. I wish that were true, son, but I don't think so. Thank you. For today, and… – For everything.
– For everything? You were helping me
and defending me… so many times this week. No one has- I think you're exaggerating. I know what I'm saying. I wish you all the best
in your new job.
Goodbye. What if I ask you to stay? At the café. Would you agree? Vika. I'm afraid… I won't be able to refuse you. Of course, I'll stay. I had no idea you were so cruel. I'm cruel? Mm-hm. I… I found dad. I thought you guys would make up. Poor dad. Mm-hm. So, you feel sorry for him? Yes, mom. I feel sorry for him. I really loved your father. And I believed that we would be
together for the rest of our lives, like my parents were. I couldn't even think
that something would go wrong… but your father turned out to be… How can I put it? A weak man. What do you mean, a weak man? Weak when it comes to women.
People hinted at it, but I didn't want to believe it Until one day, I went to my neighbors,
to borrow some garlic. I walked in on your dad in bed with the neighbor. Dad told me that you made up
your own mind, and ran away to Kiyv. Unfortunately, I didn't. I ran away… after he started blaming me
instead of apologizing.
He said that I was obsessed with you, and that polygamy was
a common thing among men. Well, should I have just forgiven him
and moved on with him? I don't want to believe it. He's still my father. I understand, honey. I didn't want to believe
a lot of things, and… I thought he had changed,
so I almost forgave him.
But recently, I learned more about him. He started gambling. Gambling addiction is a serious illness. He lost everything he had, and… wanted me to pay off his loan. Mom… I'm sorry. Never mind that. You have nothing to apologize for. I told you from the beginning that your Maksym was different
from other men. He's a normal guy. Why are you calling him mine? He likes you. Why do you think he likes me? He just… went with me to Olenka’s wedding. Mm-hm, yeah. He helped clean the floor, and kick out the drunks.
I have a feeling that if there's ever
any trouble, he'd always be there. Do you remember how – he rushed to save Inna?
– Oh, yeah! He rushed through all the traffic
just to see you. Don't you notice? Don't you see
the way he looks at you? And this is his, look,
this is what he says. "Viktoria!" That's how he says it! Нe's just a well-mannered
and decent person. I'm sorry, but even I see it. You're glowing talking about him. That's because he's a normal guy. Besides, he hasn't messed up anything. He saves you. He helps you.
But we just need to check
if he's married. – Girl, you're making all this up.
– Open your eyes! – This is all nonsense!
– Look! You should see yourself
right now, Vika. Oh, but we have to check
if he's married. As for me, I thought
I’d found my one and only. But Mykolay… What? He's married? Oh, my God! That's awful. Shame on him. Girls, I've always said that
all the good guys are already taken. We're sitting here like fools. So, Vika, don't lose your chance. Come on! Cheers! Katrusia! We need to talk. No, we don't. Yes, we do. All conflicts should be resolved
through dialogue and understanding. Listen, I don't need your philosophy. Everything is very simple. I don't want to see you. Katrusia, please explain. All right, I'll explain. I'm not a saint, but I hate
when people lie to me and my son.
I thought you… You're just like other men. So, let's part ways. Good luck. And don't approach Misha. Got it? Hello? I'm calling about renting
a retail space. No, it’s not on Nalyvaiko St. It's a flower shop. How much? I see. Let me think about it
and I'll call you back. Gems look real. All the gems are real. 17,000 hryvnias is for everything. And that is my final price. Okay. Did you really sell all your jewelry? – All of it?
– Yes. I decided to get rid of everything old
and start new. I wanted to open a flower shop
and make people happy. But wait. Why are you saying it in past? I only have money for rent. But I also need flowers, vases, furniture. I saw how much money was needed
when I worked for Svitlana. It just wasn't meant to be. I need to get real. Okay. Look, don't worry! – We'll lend you some money, okay?
– Yes! Girls, thank you, but I'm tired of borrowing money.
Inna, we'll help you. The main thing is not to give up
on your dream, right? Right. Hello? Yes, that's me. Really? That's possible? Yes, I can start on it tomorrow. Thank you! Girls! The man who's renting the retail space
said that the developer, Melnyk, agreed to give me a rent deferral. I'm opening my flower shop! – That’s great!
– I was really angry with this Melnyk guy, but he's turned out to be a good man! Awesome. Be careful with the flowers, please. Don't worry, boss.
Everything will be fine. Boss… So that's how it is, then? Exactly. You lied about needing money
and begged for an advance payment. But now I have it. Hi! Hi! Shall we meet?
After 6:00 p.m.? Agreed.
Maksym, good morning! You're coming this evening, right? Right, but I was walking by your café and decided to wish you a nice day. I hope you have a nice day, too. Would you like some coffee? No, I don't have time. I'm in a hurry. But… I need to have
a very serious talk with you. Just don't tell me you're quitting again. No, I'm not. Then what's the serious matter? I wouldn't want to talk
in such a hurry. So, if you're free tonight, I'd like to invite you for a cup of tea. Even… coffee needs a break sometimes.
Right? Tea at your place? No. I was recommended
a very cozy place. Where they make the kind of tea
that reveals the whole truth about people. So, what do you think? Sounds great. See you later. {\an8}”Beware of surprises.” Nonsense. Let's go informal. Okay. Tell me about yourself. All right. I have my own flower shop. You know, I decided that I wouldn't
just sell cut flowers or potted plants. I've already brought
so many plants from home. Have you ever seen lithops grow? – No, I haven’t.
– They grow from special stones. Just imagine! Have you seen passion fruit bloom? – No, I haven't seen that either.
– You have to see it.
Of course, exotic plants
require special care, but I decided I would provide
free consultations to my clients, and give them fertilizer
for their plants. Why haven't you done that before? I just opened the shop today. You can congratulate me. Wow! Let's go somewhere and celebrate. Are you hungry? I'm a bit hungry, but I'd rather take a walk. Okay. You'll have to stop me, because I can talk
about flowers for hours. Apple turnovers! Apple turnovers! Wait. I’ll be right back. – Ten hryvnias each.
– Ten? Here you go. – How many?
– Give me all you have. Wait. I'll give you the change. Keep the change. Thank you very much. Thank you. Here you are, here you are. There were only
apple turnovers, so… Thank you. It's very tasty. You know, I've never bought them. I've always baked them myself. You're a businesswoman, you know everything
about flowers, and you even bake turnovers? How many talents do you have? You're right. I didn't even think
I could do that much.
It's funny. A few days ago,
one man said I was no one. He's a fool. How dare he? Your chai tea. And your flowering tea. It's brewed in a special,
transparent kettle. so that you can see
how the flower blooms. Just wait a little. Just wait a little. You're about to see it. Take the cups. Enjoy the aroma,
the taste of the first tea. And then the second one. Inhale the scent. Now, wait. Everything is so serious here! It's not how I imagined it, but… in this formality,
let's go informal. All right. So… Were you born in Kharkov? Yes. My parents live there all their lives. They wanted me
to study medicine, but… I got pregnant with Olenka, so I chose family. But they always supported me. It's such a pity that they're gone. You have a wonderful daughter. She's as… sincere and tender as her mother. Thank you. Sorry, but according
to our establishment’s rules, you are not allowed to talk.
Our guests enjoy tea,
not conversation. It's a sacrament, a process! So, what did you want to tell me? I guess… I need to start from the beginning. My parents are lawyers. It's a… dynasty. But I didn't want to become a lawyer. I wasn't interested in that. So, what were you interested in? I like construction. That's what I wanted
to talk to you about. You see, I'm not a regular security guard… I’m sorry. I warned you. You are violating the rules
of the establishment.
So, you'll have to leave. I'm sorry. I'm sorry. Okay, okay. So, I said… Sorry. {\an8}It's work-related. I need to take this. Hello? I'm listening, Oksana. No problem. Come over to my place
tomorrow afternoon. All right. I'm sorry. So, I said to her… What's the matter? Everything's fine. Pick up the phone.
I need to go anyway. I have to water the flowers
in the shop. Even back at school, I’ve been kicked out of a classroom
in such a way. I feel like I broke the rules
for the first time in my life. Look, we still need
to have a serious talk. I… I have to tell you everything. To set the record straight. Tell me what your big secret is. Believe me; it's serious.
I… Vika… I've been really wondering
how you could have left me for this… security guard. I thought about it
for a long, long time, but today I found out.
You fell for millions, didn't you? Sergiy, you should get some sleep. – Millions?
– That's right, millions. Today, I talked to the debt collector. They told me that the person who removed you
from the list of guarantors… was named Maksym Melnyk. Yeah, it's true.
Is this a joke? No, it's not a joke. I wanted… to tell you about it today. I told you. It means that… you're Melnyk? you're Melnyk? The same developer? Then why did you pretend to be
a security guard? The rich just won't
understand the poor, Vika. You remember our first
conversation at the café? I do. You’re the one who took me
for a security guard. Couldn't you just say
you weren’t a security guard? No, I couldn't at the time.
So, did you think that I was the bastard
and he was the prince? You know what? Just leave me alone. Both of you! Girls, it's just like in the movie. Like when he pretended to be a janitor,
but he was really a prince. Now I understand why
they repaired the entrance so quickly. And they gave me a rent deferral. He was sitting here. Heard everything. But why would he play act? Was he making fun of me? I told you his bike was expensive. He said it was a used one. Liar! I just don't understand why he did it. {\an8}And Mykolay, he's also a liar. {\an8}He gained my trust, and later, I found out
that he was married.
They're all assholes and liars. And womanizers. Who do you mean? Oh, I mean Oleg from the app. I showed you his picture. Do you remember? Girls, we had a date yesterday. But has as many women
as I have flowers in my shop. He was making dates with them
right in front of me. What am I supposed to think? Holy shit. Misha, where are you going? To the training session. But you don't have
a training session today. Yes, I do. You know, mom,
I thought about everything. We don't need anyone.
We're great together. Just you and me. And if someone offends you,
I'll give them a hard time.
A very hard time! Oh, Misha, what have you done now? Excuse me. Pick these roses instead. They'll bloom until late autumn. And the azalea is a gift to you. Thank you. Okay. Here you go. This is for you. Thank you. Have a nice day. Thank you very much. You stole all my clients,
you know that? I don't sell sick flowers. Besides, you fired me. If I hire you back, will you close shop? Sorry. It's too late. You'll come running to me. Why did you lie to us? Come here. Masha, explain to him
that we're getting a divorce. There's nothing to explain. Sign the documents and you're free. Do you understand? Mom, come here! I know you're following me! You got it wrong! He's getting a divorce! He didn't lie to us! I brought the divorce papers.
Sign and send them back after. No problem. Goodbye. Let's go, Misha. Inna! Oleg. How did you find me? You said your flower shop
was in the area. So, I went around one by one. You didn't have to. I did. Oleg, women text you, call you. Just choose the one you like. Well, what if I don't want to choose? Why are you arranging
meetings with them? They're my clients. I repair their cars. You didn't mention that yesterday. You didn't ask.
You can ask anything. I work at a repair shop, and I have a lot of clients,
both male and female. Look, for example, Tania needed
her Mazda’s engine checked. I checked it. Everything is fine. So, does that mean these women
aren't your mistresses? If I had so many mistresses, would I have spent so long
looking for you? Vika! You're not answering my calls. You're hanging up. But we need to talk. About what? About us. What does "us" mean? About me and my security guard? Or about me and the owner
of this residential complex? Or maybe about me
and the guy who lied to me? Look, I'm here because I'm ready
to explain everything to you.
I wanted to tell you
everything yesterday. I heard the phrases
“I'm ready to explain,” and “I wanted to tell you,
but didn't have time” from my ex-husband
so many times. I'm sick and tired of liars in my life. – Look, but…
– It would be best if you left now. You should’ve still asked him
why the hell he was putting on this show. You still don't get it? He lied to me. He pretended to be someone else. Okay, I could ask him again,
but he’d lie to me again. It's obvious. I'd rather check it out. Me too. Probably. Girls, no offense. If you want to check someone out,
go ahead. Check your Oleg, Mykolay. I've made my decision. Hi. I wanted to see how you were doing. But I can already see. I checked him out. All right, I'm going to take
our suitcases outside.
– The taxi will be here soon.
– Okay. Honey, be happy. Take care. – Call me, okay?
– Every day, mom. Every day. – Good morning, Dmytro.
– Good morning. To the office? Tell me, How long has it been
since you've had a day off? Well, the same as you, Maksym. Then, today you have a day off. And tomorrow. And the day after tomorrow. She didn't want to listen to you? It's my fault. I played the security guard role
too long. Maybe try again? You don't know her. It's final. End of story. Enjoy your day off. Oh my, Inna.
What terrible news! You've found a good way
to get rid of your competitors. Yeah. If you think so, then prove it. I will. We have a lot of surveillance cameras
in our complex. So, there's no point in proving it.
What’re you doing? I'm repairing your shop. Inna! Why are you here? I missed you. Hi, Vika. Hi. You okay? What happened? Yes, everything's fine. I have a business proposal for you. Oh, no problem. I'll be glad to help you. Please do me a favor,
as a real estate agent. Find me another apartment, preferably in another part of the city. and preferably, not in
a residential complex by Melnyk. Also, I need to sell the café. Vika, are you serious? Oh, my God. Are you sure about this? Absolutely. Come on, girls. Your faces look like I'm dying
instead of moving. I'll rent an apartment. When I sell this one,
Katia will find me a new apartment. I'll open a new café
in that part of the city. Well, it's hard to get
to the other part of the city.
We got together every day here. But now, we'd be lucky
if we met once a month. – Come on. Don't be so dramatic.
– Vika, Inna’s right. It'll never be like it used to be. It'll never be like it used to be. The passing of an era. Finita la commedia. The end. Call it whatever you like. Girls, life goes on. We need to remove the bar counter, replace the doors. I'm going to ask for a discount. Replace? You know what? You need a new sewage system,
because the pipe bursts frequently. Also, the wiring has to be changed. It's not good. Better yet, find another café
where you don't have to change anything. where you don't have
to change anything, hm? You're a strange real estate agent. Misha? Injured? Misha! What happened? A crack? A fracture? – Have you been to the hospital?
– No, we haven't. But there's no fracture,
maybe a crack. Damn it, Mykolay! – Where the hell were you looking?
– Mom! It didn't happen at a training session! It happened when I was outside! Mykolay just brought me home.
I'm sorry. Thank you. So… let's go. The car's downstairs. We're going to the emergency room. What's so funny? Look, why don't you tell the truth? What truth? Misha, you won't fool a master
of sports with a fake injury. Spill it. So, is Misha okay? There's no fracture? There's nothing there. And what was the point
of this act, huh? I thought… if I'm injured,
you'll take me home, and mom will come,
and then you'll make up. You seem to have grown up,
but you're still a child. You're just like children. Everything has been cleared up
for a long time, but you still can't talk normally.
So, do you have a lot of clients? Yeah, a lot. There are even regular ones. I never imagined you
as a businesswoman. My genes. Now, I'm sure that you weren't
switched at birth. – Pasha.
– What? I'm just so happy! So happy! I think if everything goes well,
I’ll rent another retail space. Then you can start a chain of shops. You've always been
obsessed with flowers. My daughter. Mom. I'm sorry, but we're already closed. I didn't come for coffee. Oh, are you here to discuss
buying the café? Not exactly. Are you Viktoria? Yes. I'm Dmytro, Maksym's driver. He's already sending his agents? I'm sorry. I'm very busy, as you can see. Nice to meet you. Goodbye. I'm not his agent. I came here of my own free will. All I need is 10 minutes of your time. Hi. This is for you. Bon appetit! Thank you. A hamburger? I won't fit through the door. These are my parents.
I'd like you to meet them. Very nice to meet you. Oleg. Pasha. Alla. So, I'll come back later. Goodbye. What's this? It's a hamburger, mom. That's not what I mean. I mean this… him. Pasha, get my pills. Mom, that is Oleg, my boyfriend. Decent men look completely different,
and you know that. I know. I saw it. Does he at least have a job? Oleg works as a car mechanic
at a repair shop. Pasha! Can you say something? The same thing I said before. I'm not an expert in your girl stuff. Then I'll be the one to say it. It's unacceptable! We don't need a car mechanic
in our family! – Inna, I forbid you to…
– Mom, that’s enough. I'll be in a relationship
with whoever I want. I don't care if you like him or not. I've been working with him
for many years. I know a lot about his life. He was married. He was madly in love
with his wife, Valentyna.
But later he found out
that she had been cheating on him with another man for a long time. Moreover, they were wasting
his money together. So, he got divorced. His soul is wounded. You know, we all have our own
bad experiences and wounded souls. But we don't pretend to be
someone we're not. I was the one who advised Maksym
not to say his name right away. You should see how women
flock around him. Their eyes are empty. The only thing they want is his money. You know, I didn't want him
to meet another Valentyna. I'm an old man, but I came up
with such a stupid idea. Very bad. He feels bad without you. Can I help? Today, you’ll find what you've been
searching for. Isn't that a wonderful For playing the role of my date
at this wedding so well. But what if I'm not playing playing? It's such a great apartment. I'll take it. Let's sign the agreement tomorrow,
and I'll transfer the money.
– Great news!
– It's you who's great. – See you tomorrow.
– Bye! So… You can congratulate me! I just sold a good apartment. A sweet deal. Katrusia, do you flirt with all
your customers that way? Of course not.
I was just being polite. Look, you're acting as if we're a couple,
but we hang around. We could hang out some more. What if I don't want to just
hang around with you? What do you mean? Katrusia. Let's live together. You, me, and Misha. Think about it,
because I really want that.
Okay? He loves me. He loves me not. He loves me. He loves me not. He loves me… Hi, Oleg. No. Nothing happened. I just got sick. Nothing serious. I have everything I need. I miss you, too. – Vika, hi!
– Hi! Listen. I know today is your party, your farewell party. – But I'm a real mess!
– What's wrong? Mykolay asked me to live together.
What do you want? I don't know. I believe him. I believe that everything will be fine. – Am I talking nonsense?
– Not at all! Are you happy? And Misha? Misha doesn't know yet. – Oh, Inna’s here.
– Inna! The pregnancy test
doesn't show anything yet, but I've never had
a two-day delay. Girls, I feel it. I've been dreaming about
having a child all my life, but what if Oleg doesn't want to? – He will!
– He will! Don't say that. – Don't say that.
– Of course he will. Girls! Oh, wait a second. Okay, maman, may I pour you a drink? For us? For us! Come on, Angela. I need much more. So, what happened? The wedding's canceled. Arsen’s an asshole. He turned out to be…
A marriage fraudster. Sorry, Katia. You were right about this app. Friends? I'm sorry. Oh, girls! Blackthorn is in blossom, Blackthorn is in blossom, But the blossom falls down. Who doesn’t know love That also doesn’t know sorrow, Who doesn’t know love, That also doesn’t know sorrow. Let’s go. Come on. We have to go. Wow! I knew it! I knew that Misha, Mykolay, and I would come to this café again! And I'll come here with my little one
for some ice cream.
Maybe even with Oleg. Definitely with him. Wait. I've been gone for two weeks,
and you all found love? What about me?.
