1 00:00:01,460 --> 00:00:12,490 [Auto-generated transcript] Hello and welcome to the Oxford Playhouse. 2 00:00:12,730 --> 00:00:19,190 My name's Marcus Du Sautoy. I'm the Simonyi professor for the public understanding of science here in Oxford. 3 00:00:19,210 --> 00:00:26,230 And each year we host a lecture here at the Playhouse to celebrate science for the public. 4 00:00:26,230 --> 00:00:31,330 And, uh, it was a lecture first started by my predecessor, Richard Dawkins. 5 00:00:31,330 --> 00:00:36,360 And I just counted up how many we've done. And it turns out we've done 25. 6 00:00:36,370 --> 00:00:39,640 This will be the 25th lecture. So nice to celebrate. 7 00:00:39,940 --> 00:00:44,589 and we're actually going to celebrate, another anniversary because, 8 00:00:44,590 --> 00:00:49,419 this is actually the hundredth anniversary of the discovery of quantum physics. 9 00:00:49,420 --> 00:00:56,079 And this is the quantum physics. Yeah. So I, I felt we should have a lecture, which celebrates, this anniversary and explores, 10 00:00:56,080 --> 00:00:59,860 you know, what do we think about this, theory 100 years later? 11 00:00:59,860 --> 00:01:03,280 Where is it going? Um, obviously a very difficult theory. 12 00:01:03,280 --> 00:01:09,129 So I thought we needed an incredibly, good lecture to come and explore the ideas of quantum physics with us. 13 00:01:09,130 --> 00:01:14,230 And I'm very lucky to have Philip Ball, who's I think he was an editor at nature for many, 14 00:01:14,230 --> 00:01:18,780 many years, has written some fantastic, books, including Beyond Weird. 15 00:01:18,790 --> 00:01:21,940 I think he is I mean, I love reading his books. 16 00:01:22,120 --> 00:01:30,790 I think that he's one of our best, expositor of really difficult scientific ideas isn't scared to push audiences and readers, 17 00:01:30,940 --> 00:01:34,180 into some really, uh, tough, places. 18 00:01:34,450 --> 00:01:38,919 And I think quantum physics is one of those places where you need somebody who really knows what they're talking about. 19 00:01:38,920 --> 00:01:43,690 So, please give a big welcome to this year's Simonyi lecture, Philip Ball. 20 00:01:54,410 --> 00:02:01,430 Thank you, Marcus. Well, I'm very grateful to Marcus for asking me to do me the honour of asking me to to give this lecture. 21 00:02:02,000 --> 00:02:11,750 I first began learning about quantum mechanics about 45 years ago here in Oxford, 22 00:02:12,260 --> 00:02:19,219 where I had the good fortune to be taught by Peter Atkins, um, who was already legendary even at that point. 23 00:02:19,220 --> 00:02:24,670 And I remember that Peter began his first lecture on quantum mechanics by saying that there are, 24 00:02:24,680 --> 00:02:31,970 maybe half a dozen people in the world who understand quantum mechanics, from which I suppose we were to infer that Peter was one of them. 25 00:02:32,540 --> 00:02:39,560 And I'm now here to tell you about it. And I understand that Peter is now in the audience, so no pressure there. 26 00:02:40,610 --> 00:02:47,870 But I'm going to rescue myself by appealing to another authority, some might say in authority without parallel. 27 00:02:47,870 --> 00:02:55,460 And Peter at least will be pleased to hear that that's not God who Einstein was, uh, famously apt to invoke on this subject. 28 00:02:56,090 --> 00:03:01,309 Neither is it Einstein himself who never quite made his peace with quantum mechanics. 29 00:03:01,310 --> 00:03:09,650 Um, the authority I am going for is Richard Feynman, who in the very year that he won the Nobel, 30 00:03:09,650 --> 00:03:15,050 shared the Nobel Prize in physics for his work on an aspect of quantum theory, 31 00:03:15,170 --> 00:03:20,720 said this I think I can safely say that nobody understands quantum mechanics. 32 00:03:21,500 --> 00:03:27,770 Now, quantum mechanics does have a reputation for being impossibly hard, as Marcus just said. 33 00:03:27,770 --> 00:03:32,040 And, um. It's not the mathematics though. 34 00:03:32,060 --> 00:03:38,420 That's the problem. Here is some of the quantum math being done by the pioneer of the subject, uh, Niels Bohr. 35 00:03:38,840 --> 00:03:44,690 And for some of you, sure, this might look pretty tough stuff, but Feynman could do all of this. 36 00:03:44,690 --> 00:03:49,220 Fine. The maths wasn't the problem. The trouble was, that is all he could do. 37 00:03:49,940 --> 00:03:56,660 What he couldn't understand is what the maths was telling us about the nature of the world. 38 00:03:57,790 --> 00:04:07,649 And there's still no consensus about that today. As you've just heard, this year is the 100th anniversary of the first version of quantum mechanics, 39 00:04:07,650 --> 00:04:14,400 which was devised by Werner Heisenberg and his colleagues in 1925 to mark that centenary. 40 00:04:14,430 --> 00:04:22,589 Nature magazine commissioned a survey of what physicists today think about the, uh, meaning of the theory. 41 00:04:22,590 --> 00:04:29,730 And this is the headline. Physicists disagree wildly on what quantum mechanics means about reality. 42 00:04:30,420 --> 00:04:35,370 And, um, one of the key questions in that poll was, uh, 43 00:04:35,370 --> 00:04:43,889 to ask which of the various different interpretations of quantum mechanics the respondents believed, um, this is the result of that poll. 44 00:04:43,890 --> 00:04:47,070 And you can see that there's there's clearly a favourite here. 45 00:04:47,250 --> 00:04:50,969 Um, and I'll come back, uh, later on to what that is. 46 00:04:50,970 --> 00:05:01,830 But its dominance is hardly very convincing, particularly as only half of those who support it, uh, felt at least fairly confident in doing so. 47 00:05:02,250 --> 00:05:13,470 So given all of this, what hope is there that the rest of us are going to understand this 100 year old cornerstone of the framework of modern physics? 48 00:05:13,860 --> 00:05:23,069 Well, I want to suggest to you that we can at least do better than Feynman's admission of bafflement or defeat. 49 00:05:23,070 --> 00:05:30,330 Some might say we don't have all the answers to what quantum mechanics means, but we do have better questions. 50 00:05:30,570 --> 00:05:37,350 We have a clearer sense today than Bore or Feynman had of what's important and what's not. 51 00:05:37,860 --> 00:05:42,810 So we have better questions, and sometimes that's really how science advances. 52 00:05:43,770 --> 00:05:46,889 But in this celebratory year, I want to take, first of all, 53 00:05:46,890 --> 00:05:53,940 to tell you a little bit about what actually happened in 1925, because quantum theory itself began earlier than this. 54 00:05:53,940 --> 00:06:05,849 It was launched in 1900, when Max Planck in Berlin found that he could explain how warm bodies radiate heat by 55 00:06:05,850 --> 00:06:12,840 assuming that the energies of their vibrating atoms could only change in discrete steps, 56 00:06:12,990 --> 00:06:22,380 like the rungs of a ladder, rather than smoothly and continuously, and prank called these discrete little packets of energy quanta. 57 00:06:22,890 --> 00:06:25,799 Now, this is a strange way for energy to behave. 58 00:06:25,800 --> 00:06:32,760 It's a bit like saying that if you pedal your bike harder, your speed will only increase, not gradually, 59 00:06:33,090 --> 00:06:39,030 but in a series of abrupt jumps, because there are some speeds that nature permits and some speed. 60 00:06:39,060 --> 00:06:45,000 The nature doesn't. But Planck didn't worry very much about invoking this rather strange idea, 61 00:06:45,000 --> 00:06:49,799 because he was just using these quanta as a mathematical trick in his equations. 62 00:06:49,800 --> 00:06:53,220 He wasn't positing them as a feature of nature itself. 63 00:06:53,790 --> 00:06:57,899 Five years later, however, Albert Einstein did just that. 64 00:06:57,900 --> 00:07:07,260 He said, we should take these quanta seriously, and he said that we should regard light itself as little packets of energy, 65 00:07:07,290 --> 00:07:13,440 each having an amount of energy proportional to the frequency of the light waves. 66 00:07:13,980 --> 00:07:21,510 This was much more peculiar. Einstein was in effect saying that light was both a wave with a particular 67 00:07:21,510 --> 00:07:25,740 frequency and a wavelength that in the visible spectrum determines the colour. 68 00:07:26,130 --> 00:07:34,710 Both a wave and a stream of these little packets of energy, these little light particles which became known as photons. 69 00:07:35,430 --> 00:07:46,500 And then in 1912, Niels Bohr showed that Einstein's idea could explain why atoms emit and absorb light only at particular frequencies, 70 00:07:46,680 --> 00:07:50,910 but said that these emission frequencies correspond to the, 71 00:07:51,210 --> 00:07:58,380 um, the energy change as the electrons in the atoms hop between the allowed quantum 72 00:07:58,380 --> 00:08:05,130 energy state and those quantum atom explained various experimental observations. 73 00:08:05,130 --> 00:08:12,959 In particular, the. These allowed energy states of electrons seemed to supply an answer to the long standing 74 00:08:12,960 --> 00:08:19,620 puzzle of why different chemical elements show repeating patterns of chemical properties, 75 00:08:19,620 --> 00:08:22,620 as reflected in the periodic table of elements. 76 00:08:23,430 --> 00:08:28,379 But this early quantum theory was really just a very makeshift, um, 77 00:08:28,380 --> 00:08:35,700 and sometimes contradictory mixture of the old classical physics and these new quantum ideas. 78 00:08:35,700 --> 00:08:40,859 And what scientists really wanted was a clear and consistent mathematical theory that 79 00:08:40,860 --> 00:08:46,770 would enable them to calculate quantum properties for genuine quantum mechanics, 80 00:08:47,130 --> 00:08:53,580 to replace the old Newtonian mechanics that we use and continue to use in the everyday world. 81 00:08:54,210 --> 00:09:00,510 So ball gathered together a team of young physicists at his institute in Copenhagen to try to come up. 82 00:09:00,530 --> 00:09:04,670 With such a theory. And one of them was Werner Heisenberg. 83 00:09:05,580 --> 00:09:15,060 Who? In the summer of 1925, took a trip to the little island of Helgoland off the German coast in the North Sea. 84 00:09:16,080 --> 00:09:19,540 Heisenberg was at that time. This was in the summer. 85 00:09:19,560 --> 00:09:29,120 He suffered a terrible bout of hay fever, and it was known that the sparsely vegetated Helgoland could give you a respite from that. 86 00:09:29,130 --> 00:09:32,880 There was very little pollen, uh, on this island. So there he went. 87 00:09:32,880 --> 00:09:40,410 And while he was there, Heisenberg made the conceptual breakthrough that allowed him and his colleagues, Max born, 88 00:09:40,410 --> 00:09:46,950 who was at that stage his actually his boss in getting Gunn and Pascual Jordan to 89 00:09:46,950 --> 00:09:52,649 work out a complete theory of quantum mechanics that was published later that year. 90 00:09:52,650 --> 00:09:58,440 In fact, I have a feeling it may have been in November of 1925 that they published, uh, the Big Paper. 91 00:09:59,040 --> 00:10:03,359 Now, um, so this is Helgoland, uh, where Heisenberg went. 92 00:10:03,360 --> 00:10:07,919 And these photos are actually mine because I went to Helgoland this June to take 93 00:10:07,920 --> 00:10:14,459 part in a centenary conference that brought together really an amazing cast, 94 00:10:14,460 --> 00:10:18,330 all really of the leading experts in the world on quantum mechanics. 95 00:10:18,330 --> 00:10:21,420 So it was a weird and a wonderful meeting. 96 00:10:21,690 --> 00:10:25,040 Um, you see, Helgoland is actually really tiny. 97 00:10:25,050 --> 00:10:32,610 It's basically just a rock in the North Sea. And, um, it doesn't have any big hotels, doesn't have a big fancy conference centre. 98 00:10:32,610 --> 00:10:38,580 So this meeting of all these, you know, Nobel laureates took place in the local town hall. 99 00:10:38,940 --> 00:10:43,379 And, um, someone said that if the ferry that took us there from Hamburg had sunk, 100 00:10:43,380 --> 00:10:46,230 then that would really be the end of quantum mechanics for a generation. 101 00:10:47,190 --> 00:10:54,089 Um, well, and I can tell you that the disagreements about what quantum mechanics means were very evident at this meeting. 102 00:10:54,090 --> 00:10:59,940 So we witnessed Nobel laureates flatly contradicting each other about this on this question. 103 00:11:00,270 --> 00:11:04,020 So let me now tell you what the arguments are about. 104 00:11:04,410 --> 00:11:08,729 And I want to start with some of the things that everyone knows about quantum mechanics. 105 00:11:08,730 --> 00:11:15,600 And when I say everyone, it's everyone in quotes. So if you didn't know any of those things, these things yourself, don't worry all. 106 00:11:15,690 --> 00:11:20,879 But what I mean is that these are notions that you will very quickly encounter the moment 107 00:11:20,880 --> 00:11:25,830 you start looking into what is popularly said and written about quantum mechanics. 108 00:11:25,950 --> 00:11:30,150 So first of all, we're told quantum mechanics is weird. 109 00:11:31,490 --> 00:11:38,690 That things behave differently in the quantum world, and, um, they don't quite make sense. 110 00:11:38,870 --> 00:11:45,710 And here are some of those weird behaviours. So first of all, quantum objects can be both waves and particles. 111 00:11:45,770 --> 00:11:52,500 This is wave particle duality. Quantum objects can be in more than one state or one position at once. 112 00:11:52,520 --> 00:11:57,290 They can be both here and there. Say and this is known as quantum superposition. 113 00:11:58,300 --> 00:12:03,280 You can't simultaneously know exactly two properties of a quantum object. 114 00:12:03,640 --> 00:12:11,590 This is Heisenberg's uncertainty principle. Quantum objects can affect one another instantly over huge distances. 115 00:12:11,740 --> 00:12:18,280 This is so-called spooky action at a distance, and it arises from a phenomenon called quantum entanglement. 116 00:12:18,970 --> 00:12:23,740 You can't measure anything in the quantum world without disturbing it. 117 00:12:24,010 --> 00:12:31,810 Um, and so quantum the the human observer can't be excluded from the theory, and it makes quantum mechanics unavoidably subjective. 118 00:12:32,230 --> 00:12:36,250 And then everything that can possibly happen does happen. 119 00:12:36,730 --> 00:12:40,690 And that there are two separate reasons why this claim sometimes made. 120 00:12:40,750 --> 00:12:45,670 One of them is rooted in Feynman's work itself, which seemed to say that quantum particles, 121 00:12:45,880 --> 00:12:49,810 as they go through the world, they take all possible paths available to them. 122 00:12:50,050 --> 00:12:55,600 The other reason for saying this comes from the controversial many worlds interpretation of quantum mechanics, 123 00:12:55,600 --> 00:13:02,890 which says that every time a quantum object faces a choice of what where it can go or what state it can have, 124 00:13:03,070 --> 00:13:08,440 it takes both choices splitting the entire universe into separate worlds. 125 00:13:09,940 --> 00:13:15,970 Well, now here's the thing. Quantum mechanics itself doesn't say any of these things. 126 00:13:17,050 --> 00:13:20,410 They are attempts to say what quantum mechanics means. 127 00:13:20,590 --> 00:13:23,740 Some of them are misleading. Some of them are plain wrong. 128 00:13:23,830 --> 00:13:28,810 Some of them are just unproven assumptions or into interpretations. 129 00:13:29,710 --> 00:13:34,930 Whatever quantum mechanics does or doesn't mean, I think it's time to change this record. 130 00:13:34,930 --> 00:13:41,229 It's time to stop falling back on these tired old cliches and metaphors that we tell about it, 131 00:13:41,230 --> 00:13:48,310 and to look more carefully and more closely at what quantum mechanics does and doesn't permit us to say. 132 00:13:49,120 --> 00:13:54,129 And the first point to realise is that there's a big difference between the quantum theory, the mathematics, 133 00:13:54,130 --> 00:13:59,920 and the mechanics that scientists use all the time to predict stuff at the quantum 134 00:13:59,920 --> 00:14:03,790 level so that they can make devices like laptops and cell phones and so on. 135 00:14:04,390 --> 00:14:09,340 There's a difference between that and the interpretation of the theory. 136 00:14:10,000 --> 00:14:16,480 And this is what's so hard to grasp, because normally the interpretation of a scientific theory is kind of obvious. 137 00:14:16,750 --> 00:14:26,860 Newtonian mechanics tells us about how things like tennis balls and spaceships move, what path they take through space as forces act on them. 138 00:14:27,010 --> 00:14:30,820 And we don't have to ask, what do you mean by object? 139 00:14:30,850 --> 00:14:37,510 What do you mean by path? It's kind of obvious that's not so for quantum mechanics. 140 00:14:37,750 --> 00:14:40,510 And let me give you a glimpse of why. 141 00:14:40,810 --> 00:14:49,120 To predict what a quantum object will do, how it will behave in place of Newtonian mechanics in place of Newton's equations of motion, 142 00:14:49,450 --> 00:14:56,829 scientists now generally use the equation that was dreamed up by Erwin Schrödinger in late 1925. 143 00:14:56,830 --> 00:15:04,270 He published it in early 1926 to describe the idea that quantum particles can act like waves. 144 00:15:04,570 --> 00:15:11,590 So Schrödinger's equation was really another way to do quantum math from the one that Heisenberg originally proposed. 145 00:15:11,800 --> 00:15:18,340 Now, Heisenberg was very competitive. He didn't like Schrodinger's equation at all, but everyone else did, and everyone else used it, 146 00:15:18,340 --> 00:15:22,990 and they tend to use it now because it's very much easier to use than Heisenberg's method. 147 00:15:23,500 --> 00:15:30,850 But unlike Newton's equations of motion, the Schrodinger equation doesn't give us a trajectory for the quantum particle. 148 00:15:31,180 --> 00:15:39,309 Instead, it uses something called a wave function, and the wave function can be used to figure out what we might find. 149 00:15:39,310 --> 00:15:44,650 Uh, an object doing an object like an electron, where we might find data, what properties it might have. 150 00:15:44,980 --> 00:15:52,720 Um, if we, if we measure them. So a typical, uh, wave function for a particle might, might look something like this. 151 00:15:53,110 --> 00:16:01,270 Um, what does that mean? Well, it's often said or often implied that it means that the particle was kind of smeared out over space. 152 00:16:01,840 --> 00:16:09,070 And it does kind of look that way, doesn't it? But this isn't showing us the density of the particle in space. 153 00:16:10,120 --> 00:16:16,870 It shows us, in effect, what the possible outcomes of measurements of the particles properties, 154 00:16:16,870 --> 00:16:24,730 like position can, could be, along with the relative probability that we'll get that particular outcome. 155 00:16:25,760 --> 00:16:29,510 So the wavefunction doesn't tell us where we'll find the particle. 156 00:16:29,570 --> 00:16:34,470 It tells us the chance that we might find it at a given position in space. 157 00:16:34,490 --> 00:16:43,580 If we look the bigger the amplitude of the wave function at any of these points, then the more likely it is that we'll observe it at that point. 158 00:16:44,060 --> 00:16:51,950 And this is what. So what about quantum mechanics? It seems to point in the wrong direction compared to other scientific theories, 159 00:16:52,100 --> 00:16:58,820 not down towards the system that we're studying, but upwards towards our experience of it. 160 00:16:59,510 --> 00:17:07,460 It says nothing. Or perhaps I should say it says nothing obvious about what the quantum system itself is like. 161 00:17:07,640 --> 00:17:12,700 So in other words, the wavefunction is not a description of a quantum object. 162 00:17:12,710 --> 00:17:18,230 It is a prescription for what to expect when we make measurements on that object. 163 00:17:19,440 --> 00:17:26,280 But it's even more peculiar than this, because the wavefunction doesn't tell us where the particle is likely to be at any instant, 164 00:17:26,280 --> 00:17:30,240 which we then might, you know, verify or disprove by making measurements. 165 00:17:30,660 --> 00:17:37,320 The wave function tells us nothing about the particle itself until we make the measurement. 166 00:17:37,710 --> 00:17:47,340 Strictly speaking, we shouldn't really talk about the particle at all in terms of, uh, a except in terms of the measurements that we make on it. 167 00:17:47,700 --> 00:17:51,089 So in other words, quantum mechanics, um, in quantum mechanics, 168 00:17:51,090 --> 00:17:59,100 it looks as though measurements or observations don't reveal reality, but in a sense produce it. 169 00:18:00,200 --> 00:18:07,879 One way of speaking about that is to say that before we make a measurement, uh, wave function might be this typically spread out broad thing, 170 00:18:07,880 --> 00:18:12,620 but when we make a measurement and find the particle to be in a particular place, 171 00:18:13,070 --> 00:18:18,620 then the wavefunction suddenly switches to being a sharp spike just at that place. 172 00:18:19,130 --> 00:18:24,770 And this change is often called, for obvious reasons, collapse of the wave function. 173 00:18:25,190 --> 00:18:28,280 But we have to be careful about what that means. 174 00:18:28,460 --> 00:18:35,300 What it doesn't mean is that the particle itself goes from being kind of smeared out in space, to being sharply defined. 175 00:18:35,300 --> 00:18:40,010 When we make a measurement of it, all we can say is that before the measurement, 176 00:18:40,490 --> 00:18:45,319 there were different probabilities that a measurement would reveal it in different places. 177 00:18:45,320 --> 00:18:49,820 Whereas after the measurement we can say for sure it's here and it's not there. 178 00:18:50,690 --> 00:18:58,069 Our knowledge is what has changed. And some researchers think that this is really, uh, what quantum mechanics is, 179 00:18:58,070 --> 00:19:04,790 that it's a theory describing how our knowledge about the world changes when we intervene in it, 180 00:19:05,570 --> 00:19:14,480 and that we can deduce anything about what the world was really like before we had that knowledge of it, before we made an observation. 181 00:19:15,140 --> 00:19:25,400 Now, this account of quantum mechanics is more or less the one that was given by Baugh and Heisenberg and their collaborators in, uh, Copenhagen. 182 00:19:25,400 --> 00:19:27,620 And it's known as the Copenhagen Interpretation. 183 00:19:27,800 --> 00:19:34,610 And going back to that, uh, nature poll, that is the one that proved to be, uh, the most popular today. 184 00:19:35,180 --> 00:19:40,040 I'm not saying that that means it's right that the Copenhagen interpretation is right. 185 00:19:40,190 --> 00:19:46,129 In fact, I think we can safely say that the version of it that was promoted by Baugh and Heisenberg 186 00:19:46,130 --> 00:19:52,220 isn't any longer sufficient in itself to fully explain what quantum mechanics means. 187 00:19:52,220 --> 00:20:01,130 But I don't like you that this interpretation has the following virtue that it tells us where our confidence about meaning has to stop. 188 00:20:01,850 --> 00:20:12,080 As it stands, quantum mechanics doesn't permit us to say anything with confidence about reality beyond what we can measure of it. 189 00:20:13,180 --> 00:20:13,509 Now, 190 00:20:13,510 --> 00:20:23,140 one reason why some physicists don't like the Copenhagen interpretation and prefer other ones is this mysterious business of wavefunction collapse. 191 00:20:23,590 --> 00:20:32,300 The problem is that there's absolutely no mathematical prescription within quantum mechanics itself for how collapse happens. 192 00:20:32,380 --> 00:20:36,880 You have to kind of add it in by hand, and that just feels really unsatisfactory. 193 00:20:37,210 --> 00:20:45,910 And in fact, um, some physicists, including Roger Penrose here in Oxford, uh, believe that this is precisely actually what we should do, 194 00:20:45,910 --> 00:20:52,510 that we should add to the Schrodinger equation another term that describes collapse, 195 00:20:52,510 --> 00:20:59,050 and that we need to recognise that collapse is a real physical process that happens and that needs to be put into the theory. 196 00:20:59,740 --> 00:21:05,290 Others prefer the many worlds interpretation in which there is no collapse, 197 00:21:05,290 --> 00:21:13,690 but rather there is this splitting of the entire universe into parallel, mutually inaccessible worlds. 198 00:21:13,930 --> 00:21:20,770 Uh, whenever a classical outcome is, is, is manifest ever manifested from a quantum system? 199 00:21:21,160 --> 00:21:25,960 Well, some physicists find that rather extravagant resolution of the problem. 200 00:21:26,200 --> 00:21:30,640 But the challenge, really, and it's a challenge that still, as yet unmet, 201 00:21:30,850 --> 00:21:37,480 is to find an experimental way to distinguish between these alternative interpretations. 202 00:21:38,290 --> 00:21:38,919 Personally, 203 00:21:38,920 --> 00:21:47,440 I think the wavefunction collapse is is really just an outdated way of talking about the puzzle of what measurement is in quantum mechanics, 204 00:21:47,440 --> 00:21:51,190 and I'll explain later why I think that we can now do without it. 205 00:21:51,190 --> 00:21:57,159 But I just want to point out that, in fact, collapse was never a part of Bohr's interpretation anyway. 206 00:21:57,160 --> 00:22:01,950 It's often assumed many physicists just think it is, because that's what the textbooks seem to say. 207 00:22:01,960 --> 00:22:06,550 But in fact, Bohr didn't like the idea of collapse. He never referred to it himself. 208 00:22:06,730 --> 00:22:14,230 For him, it was just a clumsy way of saying that the quantum world of probabilities and our classical world, 209 00:22:14,380 --> 00:22:23,290 in which we make measurements and get definite outcomes, that these are two different complementary aspects of reality. 210 00:22:24,550 --> 00:22:30,790 Now, just as theirs is popular but misleading idea that quantum objects can be in many places at once. 211 00:22:31,360 --> 00:22:36,070 Sometimes we're told, too, that they can be in two or more states at once. 212 00:22:36,310 --> 00:22:46,390 They can be this and that. And these ideas arise from the possibility that quantum objects can be placed in these so-called superpositions of states. 213 00:22:46,720 --> 00:22:53,050 And I'm going to illustrate, uh, what that really means, uh, using a quantum property called spin. 214 00:22:53,380 --> 00:23:01,660 Um, and this is, uh, so some, uh, particles have spin and it's a little bit like, uh, so they're spinning, but it's not quite that. 215 00:23:01,660 --> 00:23:09,250 It's a special quantum version of that. And for these purposes, you can just think of it as something that makes some particles, like electrons, 216 00:23:09,490 --> 00:23:16,680 act like little magnets with a north and south pole that can be oriented in different directions. 217 00:23:16,690 --> 00:23:25,960 So let's denote those are just up or down. Um, and because you just have these, these this binary, uh, possibility, it's got to be this or that. 218 00:23:26,320 --> 00:23:31,840 Um, then we could use, uh, this property to encode information in binary form. 219 00:23:32,050 --> 00:23:36,040 Um, we could say that, you know, up represents a one, down represents a zero. 220 00:23:36,040 --> 00:23:42,790 And that is the basis of all quantum information technologies today, such as quantum computers, 221 00:23:42,790 --> 00:23:49,780 in which spins or other quantum states are used as quantum bits or qubits to encode information. 222 00:23:50,770 --> 00:23:54,040 But quantum spins can be not just up or down. 223 00:23:54,190 --> 00:23:57,310 That's to say, a qubit encoding either a one or a zero. 224 00:23:57,460 --> 00:24:00,880 They can be in a superposition of up and down states. 225 00:24:01,150 --> 00:24:11,470 So as a spin qubit placed in a superposition like this is often said to be in both states simultaneously a one and a zero simultaneously. 226 00:24:11,770 --> 00:24:16,360 Um, so that's the way it's often talked about, but that's not quite right. 227 00:24:17,370 --> 00:24:22,410 Remember that a wave function only tells us what we can expect when we make a measurement. 228 00:24:22,560 --> 00:24:32,010 And so a better way of saying it in this case, is that a measurement on this qubit could yield an outcome of up. 229 00:24:32,310 --> 00:24:35,969 Or it could yield an outcome of down both all possible outcomes. 230 00:24:35,970 --> 00:24:38,430 And in fact they're the only possible outcomes. 231 00:24:38,700 --> 00:24:46,110 But what the qubit is like before we make that measurement is something that quantum mechanics does not tell us about. 232 00:24:47,330 --> 00:24:52,330 Now, Schrodinger and Einstein didn't like any of this at all. 233 00:24:52,340 --> 00:25:00,800 They the idea that some quantum property was not just unknown in print in practice, but actually unknowable in principle. 234 00:25:00,890 --> 00:25:05,270 Before we look, that just seemed to them to contravene common sense. 235 00:25:05,750 --> 00:25:14,239 Um, that's what prompted Schrodinger in 1935 to come up with his famous thought experiment, in which a quantum event could, 236 00:25:14,240 --> 00:25:20,000 depending on how it comes out, either up or down, say, could either kill or not kill a cat. 237 00:25:20,270 --> 00:25:30,409 And Schrodinger argued that Borje and his Copenhagen crew were basically saying that unless we actually make a measurement on this cat, 238 00:25:30,410 --> 00:25:37,870 unless we actually open the box in which it's kept and look at it, it can be simultaneously both alive and dead. 239 00:25:37,880 --> 00:25:42,050 And that just seemed inherently a nonsensical thing to suppose. 240 00:25:43,180 --> 00:25:48,880 All I'm going to say here about that is that Schrodinger's Cat two is often misrepresented. 241 00:25:49,150 --> 00:25:55,090 For one thing, when you really think it through, this thought experiment doesn't really make sense. 242 00:25:55,430 --> 00:26:03,970 Um, but in any event, the Copenhagen interpretation didn't say that the cat is both alive and dead before you open the box to look at it. 243 00:26:04,240 --> 00:26:12,250 It says that when we open the box, or if we open the box, we might find that the cat is either alive or dead. 244 00:26:12,520 --> 00:26:16,420 It is silent about the state of affairs. Before we do that. 245 00:26:17,810 --> 00:26:20,950 What's more important is Einstein's response, um, 246 00:26:20,960 --> 00:26:27,950 to this matter of how measurement seems or observation seems to conjure reality into concrete existence. 247 00:26:28,580 --> 00:26:37,460 Because in the same year as it's driving his cat, 1935, he and I, Einstein and two junior colleagues, um, Boris Podolsky and Nathan Rosen, 248 00:26:37,760 --> 00:26:43,370 came up with a different thought experiment, which they argued proved that quantum mechanics, 249 00:26:43,370 --> 00:26:48,060 as it then stood, was an incomplete description of reality. 250 00:26:48,080 --> 00:26:52,770 So here is the their paper, um, which they describe this thought experimentally. 251 00:26:52,770 --> 00:26:55,820 It's now known as the EPR experiment. 252 00:26:56,150 --> 00:26:58,430 It's actually the paper is actually pretty hard to follow. 253 00:26:58,520 --> 00:27:03,950 Um, and that's probably because it was written mostly by the Russian Podolsky, whose English wasn't terribly good. 254 00:27:04,280 --> 00:27:11,509 Uh, you can see that from the title, actually. Um, but the experiment was later put into a clearer form by the physicist David Bowen, 255 00:27:11,510 --> 00:27:14,750 and that's the version that most people use to talk about it today. 256 00:27:14,960 --> 00:27:22,190 So in that version, we imagine two quantum particles fired out from a source in opposite directions, 257 00:27:22,520 --> 00:27:27,349 and they have some property that can have only two possible states when it's measured. 258 00:27:27,350 --> 00:27:31,430 So it could be spin, it could be so these particles could be spin up or spin down. 259 00:27:31,730 --> 00:27:40,700 The crucial point is that the way in which they are produced, that means that these two that these properties are correlated in some fashion, 260 00:27:40,850 --> 00:27:46,700 for example, so that if one has a spin pointing up, the other must have a spin pointing down. 261 00:27:46,910 --> 00:27:53,960 We can't specify at the outset which it's going to be, whether it's going to be this way or that way. 262 00:27:54,020 --> 00:27:57,590 But we know for sure that there's going to be this correlation. 263 00:27:57,710 --> 00:28:08,540 So we then know that if we measure the spin of one particle and find, say, that it's up, then we know that the other must be spin down. 264 00:28:08,870 --> 00:28:13,010 And Schrodinger named this, uh, quantum correlation entanglement. 265 00:28:13,280 --> 00:28:17,450 Um, so we say that these two particles are entangled particles. 266 00:28:17,810 --> 00:28:24,320 Now, we can imagine actually this kind of correlation in everyday, um, classical, uh, phenomena. 267 00:28:24,320 --> 00:28:32,240 So say that, uh, we, you and I have a mutual friend and, uh, who buys a pair of gloves and sends us one each. 268 00:28:32,240 --> 00:28:36,200 Weird thing to do, I know, but our friend is a joker. Okay, so he does this. 269 00:28:36,470 --> 00:28:42,830 So if I then open my package and I find that I have the right hand glove, then I know instantly, 270 00:28:42,830 --> 00:28:47,150 without even having to look, that you have received the left hand glove. 271 00:28:48,180 --> 00:28:53,339 But here's the crucial thing. We also would suppose, in that case, 272 00:28:53,340 --> 00:29:01,440 that mine was the right hand glove in the parcel when it was going through the mail and when our friend posted it, and all along. 273 00:29:01,980 --> 00:29:06,840 But according to the Copenhagen interpretation, that is not true for these spins. 274 00:29:07,200 --> 00:29:12,810 Um, that it isn't actually determined until we look at them. 275 00:29:13,380 --> 00:29:15,510 And if that so, then the EPR, 276 00:29:15,510 --> 00:29:24,389 our experiment seemed to be saying that making a measurement on one of these particles instantly fixes what the spin of the other one has to be, 277 00:29:24,390 --> 00:29:28,440 as if there is some kind of communication passing between them. 278 00:29:28,440 --> 00:29:37,800 And this is what Einstein, um, referred to as the kind of spooky action at a distance that standard quantum mechanics seemed to demand. 279 00:29:38,370 --> 00:29:46,770 But Einstein's theory of special relativity had shown that this kind of instantaneous communication, 280 00:29:47,100 --> 00:29:53,850 um, at a distance, is impossible, that nothing no signal, can travel faster than light. 281 00:29:54,510 --> 00:29:59,249 So Einstein argued that quantum mechanics can't be the whole story, that it's incomplete. 282 00:29:59,250 --> 00:30:04,200 And the missing ingredient is often now referred to as a hidden variable. 283 00:30:04,200 --> 00:30:13,140 Some property that, even though we can't ever observe it, somehow fixes a definite orientation for these spins all along. 284 00:30:13,920 --> 00:30:21,300 Well, Niels Bohr, um, came up with a counter argument for why this conclusion of Einstein and colleagues wasn't valid, 285 00:30:21,570 --> 00:30:27,030 and most physicists figured out that May Bohr is probably right, because Bohr is hugely right. 286 00:30:27,030 --> 00:30:30,269 Uh, and, you know, they didn't really look into it very closely. 287 00:30:30,270 --> 00:30:33,150 And the matter just rested there for three decades. 288 00:30:33,630 --> 00:30:40,650 The problem was that it didn't seem possible to distinguish between Boyle's view of events and Einsteins experimentally, 289 00:30:40,650 --> 00:30:44,940 because they both predicted the same measurement outcome, which was just that. 290 00:30:44,940 --> 00:30:48,360 We would see that these two particles have this correlation between them. 291 00:30:49,430 --> 00:30:53,160 So the issue was swept under the rug, um, for several decades. 292 00:30:53,180 --> 00:31:01,880 But then in 1964, uh, the Irish physicist John Bell, whose day job was as a particle physicist at CERN in Geneva, 293 00:31:02,300 --> 00:31:07,940 reformulated the EPR experiment in a way that showed how it could be conducted 294 00:31:07,940 --> 00:31:14,810 for real and how it could distinguish what quantum mechanics alone predicts. 295 00:31:14,840 --> 00:31:19,010 That's both version from what a hidden variables view predicts. 296 00:31:19,010 --> 00:31:28,670 And that's Einstein's version. And those experiments that Bell suggested were first done in the 1970s using lasers to create entangled photons. 297 00:31:28,970 --> 00:31:35,750 And they've been repeated many times since, um, to rule out any possible loopholes in Bell's argument. 298 00:31:35,780 --> 00:31:44,569 In fact, the three recipients of the 2022 Nobel Prize in Physics were the key figures in those studies. 299 00:31:44,570 --> 00:31:51,770 And these so-called Bell tests have always consistently shown that the prediction from quantum mechanics alone, 300 00:31:52,190 --> 00:31:57,830 uh, is right, and that the hidden variables theories cannot be right. 301 00:31:58,400 --> 00:32:03,590 Incidentally, two of these laureates were at the Helgoland meeting, Anton Zeilinger and Alan Asprey. 302 00:32:03,740 --> 00:32:06,200 Uh, John Clowes was meant to be there, but he couldn't come. 303 00:32:06,560 --> 00:32:14,510 Um, and they were two of those that were just flatly disagreeing about what this implied, uh, for what quantum mechanics means. 304 00:32:15,170 --> 00:32:18,860 So what's wrong, then, with the EPR experiment? 305 00:32:19,070 --> 00:32:29,299 What went wrong with with Einstein's reasoning? Well, it relied on the perfectly reasonable assumption of locality that what happens here cannot 306 00:32:29,300 --> 00:32:36,060 affect what happens over here without some way of transmitting the effects between, 307 00:32:36,140 --> 00:32:40,440 uh, the intervening space between them. That's perfectly reasonable. 308 00:32:40,460 --> 00:32:46,790 But as Feynman once said, quanta, at the quantum level, nature is not reasonable. 309 00:32:47,090 --> 00:32:50,980 Once they are entangled, the fact is that, um, 310 00:32:50,990 --> 00:32:59,000 we can't regard these two particles in the EPR experiment any longer as separate entities, even though they look like that. 311 00:32:59,000 --> 00:33:03,780 They look like two particles travelling in space. As far as quantum mechanics is concerned. 312 00:33:03,800 --> 00:33:08,060 Once they are entangled, they are both parts of, in effect, a single object. 313 00:33:09,420 --> 00:33:18,090 Or, to put it in another way, the spinning orientation of one of the particles isn't solely located somehow on that particle in the way that, 314 00:33:18,120 --> 00:33:21,480 you know the redness of a cricket ball is located on the ball. 315 00:33:21,970 --> 00:33:32,400 Um, it is somehow non-local that property only if we accept Einstein's reasonable but wrong assumption of locality in quantum 316 00:33:32,400 --> 00:33:39,360 mechanics do we need to tell the story in terms of there being some kind of instantaneous communication and effect, 317 00:33:39,600 --> 00:33:43,170 um, across the, the, the distance between the particles? 318 00:33:43,470 --> 00:33:48,210 Quantum nonlocality is the alternative to that view. 319 00:33:49,140 --> 00:33:55,560 And Schrodinger argued that this property of quantum entanglement, uh, that was introduced really by the EPR paper. 320 00:33:55,560 --> 00:33:59,850 He said that this is actually the central feature of quantum mechanics. 321 00:34:00,150 --> 00:34:06,030 So it turns out that the big deal about quantum mechanics is not actually really the quantum at all. 322 00:34:06,030 --> 00:34:13,920 It's not really these quanta, these this, this discrete graininess that the theory imposes on the fabric of reality. 323 00:34:14,160 --> 00:34:22,380 Rather, it's this strange interdependence that quantum mechanics seems to impose on its particles. 324 00:34:22,920 --> 00:34:31,140 Perhaps the best way to think about this is that it's a kind of uniquely quantum way of sharing information. 325 00:34:31,620 --> 00:34:35,820 You know, if I want to share some information with you, if I want to tell you what it was like, 326 00:34:36,030 --> 00:34:41,549 how good landed the summer, then I have to use some classical means, some classical channel to do that. 327 00:34:41,550 --> 00:34:45,090 I can tell you about it, or I can send you an email, or I can send you a letter or whatever. 328 00:34:45,540 --> 00:34:50,280 Um, that information can never be conveyed faster than light, 329 00:34:50,520 --> 00:34:57,329 but quantum particles can share mutual information non-local by spreading it between them, 330 00:34:57,330 --> 00:35:00,480 as though the intervening intervening space just wasn't there. 331 00:35:00,930 --> 00:35:07,650 The catch is that this mutual information can never be used to actually send a signal to send a message, 332 00:35:08,100 --> 00:35:17,310 so I can't find out something in one place and somehow use quantum entanglement to instantly communicate it to another place that's not allowed. 333 00:35:17,370 --> 00:35:23,640 Um, that prohibition is fundamental to quantum mechanics, and it's known as the no signalling condition. 334 00:35:24,120 --> 00:35:25,319 And I'm going to come back to that. 335 00:35:25,320 --> 00:35:33,750 But first, I have a little bit more to say about entanglement, because Einstein thought it revealed a failure of quantum mechanics, but in fact, 336 00:35:33,750 --> 00:35:42,090 it supplies one of the reasons why I think that our understanding of the theory today has moved on since the time of Born Einstein. 337 00:35:42,660 --> 00:35:51,550 You see, the problem with the quantum, with the Copenhagen interpretation was that it left this business of, uh, measurement a kind of mystery. 338 00:35:51,570 --> 00:35:56,370 So on the one hand, we have these quantum probabilities of possible outcomes, 339 00:35:56,370 --> 00:36:01,469 and on the other hand, we have definite outcomes of measurements made with classical instruments. 340 00:36:01,470 --> 00:36:05,580 We know with big kit which give us a definite this or that. 341 00:36:05,730 --> 00:36:12,450 The particle is either here or it's there. And Bo insisted that we just have to accept that we need both of these views. 342 00:36:12,450 --> 00:36:16,409 We need the quantum to explain the behaviour of atoms in their particles, 343 00:36:16,410 --> 00:36:24,120 and we need the classical to talk about our own world as we experience it, what we can actually determine to be real. 344 00:36:24,690 --> 00:36:27,510 But this seemed really unsatisfactory. 345 00:36:28,350 --> 00:36:35,430 How can it be that we need these two incompatible frameworks for understanding the world, rather than just a unified view? 346 00:36:35,820 --> 00:36:41,280 And in any case, when then does quantum stop and classical start? 347 00:36:41,700 --> 00:36:47,759 In these days we've been able to see quantum behaviour and some pretty big objects, for example, 348 00:36:47,760 --> 00:36:59,670 in nanoparticles made of thousands and thousands of atoms or in loops of superconducting wire, um, that, uh, figure as big as a bacterium. 349 00:36:59,910 --> 00:37:06,989 And, um, this was actually first shown in the work that won this year's Nobel Prize in Physics. 350 00:37:06,990 --> 00:37:12,510 And these loops of superconducting wire are now used as quantum bits in quantum computers. 351 00:37:12,810 --> 00:37:20,250 So there's no good reason that we have to think that quantum mechanics somehow stops working at some particular size scale. 352 00:37:20,430 --> 00:37:24,480 It just gets harder and harder to see quantum effects that things get bigger. 353 00:37:25,110 --> 00:37:32,069 Well, it actually seems that entanglement holds the key to this so-called measurement problem, 354 00:37:32,070 --> 00:37:35,700 and it's allowed us to start filling in the missing bits. 355 00:37:35,700 --> 00:37:37,470 In the Copenhagen interpretation. 356 00:37:38,040 --> 00:37:45,960 You see, measurement is all about getting information out of a quantum system and into the measuring apparatus or more generally, 357 00:37:46,080 --> 00:37:52,050 out into some big and big sort of messy environment made of lots and lots of atoms. 358 00:37:52,350 --> 00:38:01,650 Entanglement provides the means for doing that, because it enables the quantum system to share information about itself with other particles. 359 00:38:01,830 --> 00:38:05,399 And in fact, um, so here we have the quantum object. 360 00:38:05,400 --> 00:38:08,730 We need to get the information out into its environment and in. 361 00:38:09,050 --> 00:38:17,410 Argument is what let that happen? Because in fact, entanglement happens inevitably whenever a particle interacts with another. 362 00:38:17,410 --> 00:38:26,230 And so it is, um, uh, what allows the quantum system to get information about itself out in the end to the, its environment. 363 00:38:26,710 --> 00:38:30,190 And there's now a pretty well worked out theory for how this happens, 364 00:38:30,190 --> 00:38:39,890 for how information about the properties of a quantum object get broadcast into its environment via entanglement between the two. 365 00:38:39,910 --> 00:38:48,340 And it turns out that in that process, what starts off as quantum behaviour ends up looking like classical behaviour, 366 00:38:48,610 --> 00:38:54,129 the interactions between the quantum object and its environment spread to the quantum mass, 367 00:38:54,130 --> 00:38:59,350 so to speak, spread the quantum mass of the object into the surroundings through entanglement. 368 00:38:59,680 --> 00:39:08,290 And what this does is it produces an imprint of the object in the environment and the imprint of that object in a specific state, 369 00:39:08,740 --> 00:39:10,660 which we can then access. 370 00:39:10,930 --> 00:39:17,860 And for us, these imprint, you know, in regular life, these imprints are often in the form of photons that our eyes can register. 371 00:39:17,860 --> 00:39:22,329 So you're seeing imprints of me. You're not in some sense seeing directly me. 372 00:39:22,330 --> 00:39:29,950 You're saying imprints of me that I'm leaving in my environment via the photons that are scattering from my body to your eyes, 373 00:39:29,950 --> 00:39:32,290 and each of you is seeing a different imprint. 374 00:39:32,320 --> 00:39:39,580 The photons that go into your eyes are different from the photons going into the your your neighbour's eye. 375 00:39:40,540 --> 00:39:46,090 And in this process, the quantum is in in a quantum object, a superposition, say, 376 00:39:46,390 --> 00:39:50,950 get spread and diluted in the environment so that we can't make it out anymore. 377 00:39:50,950 --> 00:39:54,190 And what we're left with is just classical behaviour. 378 00:39:54,250 --> 00:40:01,800 And this process is called decoherence. And it's the key to a theory of quantum measurement. 379 00:40:01,830 --> 00:40:08,430 You could say that that really classical physics is just what quantum physics looks like when you're six feet tall, 380 00:40:08,430 --> 00:40:11,370 and when you experience it via this decoherence. 381 00:40:11,700 --> 00:40:18,900 Now, I don't think we can say yet that this theory of environmental entanglement, if you like, and of decoherence, 382 00:40:19,140 --> 00:40:25,310 I don't think it yet gives us a complete explanation of quantum measurement, but I think it gets us a lot of the way there. 383 00:40:25,320 --> 00:40:28,860 And if you're interested to find out more, I would recommend this book. 384 00:40:28,890 --> 00:40:34,890 It's just very recently been published by one of the pioneers of this aspect of quantum theory, boy, Jack Zurek. 385 00:40:35,970 --> 00:40:40,379 So you can maybe start to see that that at the deepest level, 386 00:40:40,380 --> 00:40:47,450 quantum mechanics today isn't about wave functions and collapse and wave particle duality. 387 00:40:47,460 --> 00:40:51,750 It's the theory of what can and can't be done with information. 388 00:40:51,960 --> 00:40:58,470 And that is precisely where some scientists now think we can get at the essence of what quantum mechanics means, 389 00:40:58,590 --> 00:41:04,800 not from the old ad hoc intuitions about waves and particles and Schrodinger equations and so on. 390 00:41:05,040 --> 00:41:13,710 But by thinking about how information can be encoded, transferred, manipulated and read out in quantum systems. 391 00:41:14,190 --> 00:41:19,470 And if that sounds a bit like computer science, that's no coincidence. 392 00:41:19,710 --> 00:41:25,380 We've all heard, now, I'm sure, about these quantum computers being made by the likes of IBM and Google, 393 00:41:25,920 --> 00:41:32,160 which are expected to be able to do some kinds of computation much faster than our conventional classical computers. 394 00:41:32,760 --> 00:41:37,799 But here's the thing this isn't simply a case of applied science and technology 395 00:41:37,800 --> 00:41:42,690 emerging from pure and fundamental science in quantum information theory. 396 00:41:42,810 --> 00:41:47,190 That interaction goes both ways. So on the one hand, 397 00:41:47,190 --> 00:41:52,260 it's because quantum bits can be entangled so that they share mutual information 398 00:41:52,410 --> 00:41:56,370 much more profoundly and much more efficiently than classical bits can. 399 00:41:56,370 --> 00:42:02,219 It's because of that that quantum computers potentially have this greater computational power, 400 00:42:02,220 --> 00:42:05,460 so that they might be able to solve some problems in minutes. 401 00:42:05,700 --> 00:42:10,890 That would take the best classical computers today longer than the age of the universe. 402 00:42:11,730 --> 00:42:19,050 But the problems faced by engineers of quantum computing problems like how to correct for the random errors that arise, 403 00:42:19,500 --> 00:42:25,920 um, that these problems come about because of fundamental features of quantum theory. 404 00:42:25,980 --> 00:42:33,780 So quantum error correction itself is hard because of a prohibition similar to that no signalling condition. 405 00:42:33,780 --> 00:42:38,010 I mentioned earlier, a prohibition called the no cloning theorem, 406 00:42:38,220 --> 00:42:45,480 which says that you can't make copies of a quantum state that you don't know about because you haven't measured it yet. 407 00:42:45,480 --> 00:42:48,810 And that means you can't make backup copies of your quantum bits. 408 00:42:49,080 --> 00:42:53,130 Um, to in case you get errors in some of them. 409 00:42:53,820 --> 00:42:58,139 So as a result, by addressing problems in quantum information technology, 410 00:42:58,140 --> 00:43:06,660 we're finding out some things about the fundamentals of quantum mechanics itself and acquiring a new language to talk about that. 411 00:43:06,780 --> 00:43:08,940 A language of quantum information. 412 00:43:09,820 --> 00:43:17,260 And in that spirit, I want to offer you a way of thinking about one of the features that's hardest to grasp and to articulate about quantum mechanics, 413 00:43:17,530 --> 00:43:26,110 how it is that the information we obtain from measurements seems to depend on the questions we ask and how we ask them. 414 00:43:26,440 --> 00:43:29,710 That's really what Heisenberg's Uncertainty principle says. 415 00:43:29,740 --> 00:43:40,000 It says that we can only know some things about quantum objects if we accept that that very knowing renders other aspects totally unknowable. 416 00:43:41,220 --> 00:43:49,140 The American physicist John Wheeler, who studied under Baugh and actually had Feynman as a student, actually had voice recognition as well. 417 00:43:49,470 --> 00:43:57,480 Wheeler developed a wonderful metaphor for illustrating this idea of how answers about what's real can 418 00:43:57,480 --> 00:44:04,020 emerge from the questions we ask in a way that's perfectly consistent and rule bound and non-random, 419 00:44:04,200 --> 00:44:09,420 but without requiring there to be a pre-existing truth underneath it all. 420 00:44:09,660 --> 00:44:12,870 So you, I'm sure you know the game of 20 questions. 421 00:44:12,870 --> 00:44:18,630 So one player leaves the room and everyone else agrees on a person, and then the person comes back in, 422 00:44:18,660 --> 00:44:25,170 the questioner comes back in and starts asking questions to find out, to see if they can find out who that person is that we've decided on. 423 00:44:25,290 --> 00:44:32,700 And the questions have to have just a yes or no answer. Okay, just one of their just a spin up or spin down is a quantum game, you know? 424 00:44:33,000 --> 00:44:38,489 So imagine that you are the questioner and you've gone out and then you've come back in and you start asking your questions of, 425 00:44:38,490 --> 00:44:44,129 you know, people in turn. And, um, they give you answers, yes or no, depending on the question. 426 00:44:44,130 --> 00:44:52,920 But you find that after you've asked a few questions, it's taking the answer a longer and longer to figure out whether to say yes or no. 427 00:44:52,980 --> 00:44:59,280 Well, that's kind of weird. But, um, anyway, you keep going and you figure out you're getting close to who it is, and finally you think, 428 00:44:59,310 --> 00:45:03,060 you know and you say it's Richard Feynman, and everyone says, yes, it's Richard Feynman. 429 00:45:03,060 --> 00:45:06,660 And you all laughed and the game is over. But then you say, well, what was going on? 430 00:45:06,660 --> 00:45:10,680 Why was it so difficult for you to, you know, come up with the answer? 431 00:45:10,710 --> 00:45:16,260 Uh, later on in the game and they explain what they really did while you were out of the room. 432 00:45:16,860 --> 00:45:23,040 They didn't decide on Richard Feynman. They didn't decide on any particular person at all. 433 00:45:23,760 --> 00:45:31,860 What they agreed to do was that everyone had to make sure that the answer they gave was consistent with all the previous ones, 434 00:45:32,040 --> 00:45:37,110 in the sense of that they knew it would fit somebody who was well known. 435 00:45:37,590 --> 00:45:43,010 So, you know, to begin with, it's easy. The first question might be, you know, is it male or female? 436 00:45:43,470 --> 00:45:46,560 Because it has to be yes or no. Uh, is it's the person female. 437 00:45:46,770 --> 00:45:50,370 And the answer, uh, you know, the answer I could choose at random. 438 00:45:50,670 --> 00:45:55,950 So they just say no. Okay, fine. But then every subsequent answer has to be consistent with that. 439 00:45:56,190 --> 00:46:00,749 And so of course the options become more and more constrained as the questions proceed. 440 00:46:00,750 --> 00:46:07,200 And it takes longer and longer for the answer to figure out who's going to still fit all of these answers so far. 441 00:46:07,620 --> 00:46:16,680 And everyone was forced, by the nature of the questions asked, to converge on the same final outcome, the same person. 442 00:46:16,980 --> 00:46:23,280 If you had asked different questions, you would have probably ended up with a different final answer. 443 00:46:23,580 --> 00:46:31,920 There never was a preordained answer. You brought it into being and in a way that is fully consistent with the questions you asked. 444 00:46:32,310 --> 00:46:39,780 And what's more, the very notion of there being an answer um, only makes sense when you play the game, 445 00:46:39,780 --> 00:46:43,859 when you ask the questions, if you'd come back in and said, oh, you know what, I can't be bothered. 446 00:46:43,860 --> 00:46:49,290 Just tell me who you thought of. There is no meaningful answer that anyone could have given at that point. 447 00:46:49,770 --> 00:46:52,080 That is what quantum mechanics is like. 448 00:46:53,220 --> 00:47:02,940 It's a theory of what is and what is not knowable, and how these knowns are related and how they depend on the questions we ask. 449 00:47:03,600 --> 00:47:14,070 And I like to think about this as a distinction between a theory of illness and a theory of, if not, quantum mechanics doesn't tell us how a thing is. 450 00:47:14,730 --> 00:47:22,530 It tells us what with calculable probability, what it could be, what the possibilities are along with. 451 00:47:22,530 --> 00:47:27,329 And this is crucial, along with a logic of the relationships between those could. 452 00:47:27,330 --> 00:47:30,810 So if, if this, then it has to be that and so forth. 453 00:47:31,200 --> 00:47:37,110 And what this means is that to truly describe the features of quantum mechanics as far as we currently can, 454 00:47:37,770 --> 00:47:41,340 we should replace all the conventional isms with. 455 00:47:41,350 --> 00:47:47,729 If so, we should say, for example, not here, it is a particle, there it is a wave. 456 00:47:47,730 --> 00:47:53,910 We should say if we measure things like this, the quantum object behaves in a manner we associate with particles. 457 00:47:53,910 --> 00:47:58,410 But if we measure like that, like that, it behaves as if it's a wave. 458 00:47:59,160 --> 00:48:00,960 And we we should say not. 459 00:48:01,200 --> 00:48:10,440 The particle is in two states at once, but rather if we measure it, we will detect this state with probability x and that state with probability y. 460 00:48:11,720 --> 00:48:16,490 This, if nasty, is perplexing because it's not what we've come to associate with science. 461 00:48:16,490 --> 00:48:26,480 We're used to science telling us how things are, and if there are ifs in there, that's usually because we're just because of our own ignorance. 462 00:48:26,990 --> 00:48:30,440 But in quantum mechanics, the ifs a fundamental. 463 00:48:31,730 --> 00:48:35,450 Is there. And is this behind the. 464 00:48:35,450 --> 00:48:43,040 If this. Well that's possible. And simply by admitting as much, we're going beyond the simplistic view of the Copenhagen interpretation, 465 00:48:43,040 --> 00:48:48,200 according to which there's really nothing meaningful to be said beyond the results of observations. 466 00:48:48,440 --> 00:48:53,140 But if there is something like that, if there is a fabric of reality we can talk about, 467 00:48:53,150 --> 00:49:03,620 it's not going to be like the business of everyday life in which objects have intrinsic, non contextual, localised properties. 468 00:49:03,920 --> 00:49:07,130 It will not be a common sense illness. 469 00:49:08,480 --> 00:49:13,700 Quantum mechanics, then maybe the machinery that we humans need. 470 00:49:13,730 --> 00:49:18,890 Here we are at scales pitched midway between the subatomic and the galactic. 471 00:49:19,010 --> 00:49:28,940 At this scale, it's the kind of theory we need to try to compile and to quantify information about a world that has this character, 472 00:49:28,940 --> 00:49:31,970 a world that seems at its finest grain, 473 00:49:32,420 --> 00:49:38,960 incredibly sensitive to the touch, liable to spring off in unpredictable directions, 474 00:49:39,410 --> 00:49:46,160 a world that's not yet quite fully defined, not yet fully real to our classical senses. 475 00:49:46,520 --> 00:49:52,790 Quantum mechanics embodies what we have learned about how to navigate in such a place. 476 00:49:53,780 --> 00:50:02,359 And at any rate, it's vital that we understand that this, if not, doesn't imply that the world, this world, 477 00:50:02,360 --> 00:50:09,470 our world, our home, that it's holding anything back from us, it's hiding reality behind some kind of fuzzy veil. 478 00:50:09,710 --> 00:50:14,030 It's just that classical physics has primed us to expect too much from it. 479 00:50:14,630 --> 00:50:18,900 We've become accustomed to asking questions and getting definite answers. 480 00:50:18,920 --> 00:50:21,950 You know, what colour is it? How heavy is it? How fast is it moving? 481 00:50:22,400 --> 00:50:27,620 Forgetting the almost ludicrous amount that we don't know about everyday objects. 482 00:50:27,860 --> 00:50:37,520 We figured we could go on asking questions like that forever, questions that seem perfectly reasonable and expect to get answers at ever finer scales. 483 00:50:38,000 --> 00:50:44,450 And when we discovered that we can't, we felt shortchanged about nature when we pronounced nature weird. 484 00:50:44,870 --> 00:50:51,560 Well, that won't do anymore. Nature does its best, and we need to adjust our expectations to that. 485 00:50:51,680 --> 00:50:54,860 We need to go beyond weird. Thank you. 486 00:51:07,860 --> 00:51:13,190 Thank you so much, Billy. Uh, we got, uh, chance for some time for questions from you. 487 00:51:13,200 --> 00:51:16,990 Um. Uh, so we've got a roving mic. Um, but I just saw. 488 00:51:17,580 --> 00:51:22,980 You just set me up. This whole lecture was basically so I could tell my favourite quantum joke, if you'll indulge me. 489 00:51:23,250 --> 00:51:26,579 Um. Which if Eisenberg's bombing down the motorway, um. 490 00:51:26,580 --> 00:51:31,409 And gets pulled over by the police, and, uh, the policeman says, do you know how fast you were going? 491 00:51:31,410 --> 00:51:39,570 And, uh, he says, no, but I knew exactly where I was. And then the policeman says, well, you were going 120km an hour and says, oh, now we're lost. 492 00:51:40,260 --> 00:51:44,310 Uh uh, but then there was Schrodinger in the back of the car and, uh, the guys. 493 00:51:44,520 --> 00:51:48,870 Do you mind if I check your boot? And he flips open the boot. Oh, my God, there's a dead cat in here. 494 00:51:49,140 --> 00:51:54,540 The Schrodinger says, well, now it's dead. It's gone. Anyway, so, um, uh, maybe that's a joke. 495 00:51:54,540 --> 00:51:58,310 Doesn't make any sense now, but having that big red cross on it. 496 00:51:58,540 --> 00:52:05,130 Um, anyway, do we have to ask? Put your hands up if you'd like a question, uh, to ask Bill, and, uh, we'll get a mighty you. 497 00:52:06,560 --> 00:52:10,040 Or they've all been bamboozled. Great. 498 00:52:10,040 --> 00:52:14,390 There's a hand up here is going to start us off. So there's a mind for you. 499 00:52:14,990 --> 00:52:19,240 Hi. Um, an elaboration on the Schrodinger. Uh uh, paradoxes. 500 00:52:19,250 --> 00:52:23,120 Weakness, friend, where an observer observes an observer and it's claim. 501 00:52:23,120 --> 00:52:29,220 That's a recent experiment that Harriet Walter established that can be no objective view of reality, uh, 502 00:52:29,330 --> 00:52:35,270 and that different observers will come up with different views, uh, on the on the same physical situation. 503 00:52:35,630 --> 00:52:39,080 Is this a myth, uh, or is this the case? 504 00:52:39,650 --> 00:52:43,490 No, that that is exactly right. That seems to be what it's telling us. 505 00:52:43,490 --> 00:52:47,990 So this experiment, this is actually a much more interesting experiment than Schrodinger's cat, 506 00:52:47,990 --> 00:52:54,200 and it's the one that physicists now spend much more time thinking about or people interested in the foundations of quantum physics, 507 00:52:54,410 --> 00:52:59,090 which is, um, so there was a physicist called Eugene Fechner who came up with this. 508 00:52:59,090 --> 00:53:02,610 So he imagined, um, someone doing an experiment. 509 00:53:02,690 --> 00:53:06,589 And it could be the starting of captivating, could just be measuring a spin in a lab. 510 00:53:06,590 --> 00:53:09,739 So his friend is in the lab doing the experiment, 511 00:53:09,740 --> 00:53:14,420 making a measurement to see if this thing that is in a superposition, to see if they measure up or down. 512 00:53:14,720 --> 00:53:25,940 And, um, they the friend does the measurement and gets a result and posts a little message under the door of the lab saying, I've got a result. 513 00:53:26,480 --> 00:53:34,970 So we know the measurement has been done. But as far as Victor outside the lab is concerned, he doesn't know, uh, what the result is. 514 00:53:35,330 --> 00:53:45,920 So quantum mechanics seems to insist that that being the case, the friend is in a superposition as well of having measured both up or down. 515 00:53:45,920 --> 00:53:53,870 There is no way that Victor can say anything more about the friend than that, um, with the information that he has. 516 00:53:53,870 --> 00:53:57,529 So he has to know that the measurement has been done, but somehow it hasn't. 517 00:53:57,530 --> 00:54:01,430 Somehow it's put the friend in a what seems to be a superposition as well. 518 00:54:01,550 --> 00:54:07,370 And you can imagine an infinite sort of series of the, you know, the boxes where people, you know, don't know. 519 00:54:07,370 --> 00:54:12,920 Vigna kind of tells another friend that it's been done, but, you know, once he knows the result and so on. 520 00:54:13,220 --> 00:54:20,600 So, uh, um, what what when you pursue this, uh, sort of logic through to, uh, its conclusion, 521 00:54:20,600 --> 00:54:25,970 what it seems to indicate is that it's possible in a situation like this for, 522 00:54:26,300 --> 00:54:31,700 uh, one person to have one, uh, set of results, uh, 523 00:54:31,700 --> 00:54:36,590 about what has been done and another person to have another set, and they're incompatible with each other. 524 00:54:36,920 --> 00:54:46,070 Um, but both have to be regarded in some sense as truth that the, the, the actual result, the outcome seems to be observer dependent. 525 00:54:46,340 --> 00:54:50,690 That just seems very strange. But that's what vagueness, friends, seems to imply. 526 00:54:50,690 --> 00:54:58,370 Um, there have been arguments made for, you know, that this we just have to accept this as an element of quantum mechanics, uh, as well. 527 00:54:58,520 --> 00:55:07,729 Um, there are, in fact, on the ferry back from Helgoland, uh, I that I had a long discussion with, uh, a few others about that. 528 00:55:07,730 --> 00:55:09,049 There was someone there who was very, 529 00:55:09,050 --> 00:55:15,560 very keen to see a fitness friend experiment actually done and had ideas about how it could be done using photons. 530 00:55:15,560 --> 00:55:18,080 So you could actually put some of this to the test. 531 00:55:18,200 --> 00:55:24,590 So I'm kind of optimistic that actually we might find a way to carry out a thought experiment like that. 532 00:55:25,690 --> 00:55:30,660 Thank you for the presentation, first of all. Um, my question is a little philosophical. 533 00:55:30,670 --> 00:55:40,480 I just want you to know this. Can I, at any point, can we be really understand the nature of the universe, or should I rather say the universe? 534 00:55:40,750 --> 00:55:48,730 Let us understand its nature itself. Or should you rather say these words will allow us to understand. 535 00:55:48,740 --> 00:55:53,670 Yeah. Uh. Underst understand itself. Like I. 536 00:55:54,000 --> 00:56:04,760 I mean, in, in in the end, this is what it comes down to that people wonder is quantum mechanics something that we can actually get an intuition for? 537 00:56:05,090 --> 00:56:10,819 Or do we have to just resolve ourselves to what seem to be these, these paradoxes, all these things that, 538 00:56:10,820 --> 00:56:15,860 you know, we can't kind of picture we can't picture what quantum nonlocality means. 539 00:56:15,860 --> 00:56:22,340 We can describe it in equations. But how can it be that, you know, the properties of this object are also kind of in this object. 540 00:56:22,970 --> 00:56:26,299 So that is absolutely the question. 541 00:56:26,300 --> 00:56:28,760 You know, can we develop an intuition about this? 542 00:56:29,300 --> 00:56:37,310 Some people have talked about in fact, I think Bob Coke is uh, in, in Oxford two has uh, sort of made steps along this direction. 543 00:56:37,310 --> 00:56:43,459 Some people think if we start teaching quantum ideas really early on in education, 544 00:56:43,460 --> 00:56:47,150 maybe even at primary school, you know, there are ways that you could do this. 545 00:56:47,600 --> 00:56:55,940 Will we be able to develop an intuition at that stage that, you know, we can't easily get once we're set in our ways? 546 00:56:56,360 --> 00:57:05,870 Um, and the other possibility is that because it's now possible to actually do to explore these ideas using quantum computers, 547 00:57:05,870 --> 00:57:07,729 you can you can use them on the cloud. 548 00:57:07,730 --> 00:57:15,110 IBM, for one, makes their quantum a part of their quantum computing resources available on the cloud to schools and others. 549 00:57:15,320 --> 00:57:19,760 So you can, you know, carry out, uh, some of these kind of experiments, basically, 550 00:57:20,150 --> 00:57:25,670 um, will that allow people to develop a better intuition about quantum mechanics? 551 00:57:25,970 --> 00:57:28,610 So I don't know the answer to that. 552 00:57:28,610 --> 00:57:36,169 Um, it's certainly I think I'm too old to, you know, really feel I'm ever going to get an intuition for these things. 553 00:57:36,170 --> 00:57:39,830 And I feel like there are some things you just have to accept. That's the way it is. 554 00:57:40,160 --> 00:57:43,730 But it would be fantastic if there comes a point where, you know, 555 00:57:44,690 --> 00:57:53,180 it does seem possible for us to not just know that this is so because we're told, but to intuit why it should be. 556 00:57:54,680 --> 00:58:00,200 Maybe it's about, uh, um, making everyone mathematicians because I often feel when I'm looking at quantum physics that, 557 00:58:00,230 --> 00:58:04,500 um, uh, you know, the mathematics, as you say, it's sort of you follow the mathematics. 558 00:58:04,880 --> 00:58:10,370 It's it's not that complicated. It's when you then try and translate it into natural language that, um, 559 00:58:10,370 --> 00:58:15,589 and interpret what, what the non computing, uh, measurement means suddenly becomes. 560 00:58:15,590 --> 00:58:20,749 I can't know one thing if I know another. Yeah. And I might, I might upset you here, Markus. 561 00:58:20,750 --> 00:58:22,040 Because there are people. 562 00:58:22,370 --> 00:58:28,410 This may probably not what you're saying, but there are people who say you can't understand quantum, uh, quantum mechanics unless you do the math. 563 00:58:28,430 --> 00:58:29,710 You just have to learn the math. 564 00:58:29,720 --> 00:58:34,610 You just have to be able to solve the Schrodinger equation, and, you know, you're never going to understand it otherwise. 565 00:58:35,330 --> 00:58:39,500 And I feel like that's, um. That's not quite. 566 00:58:39,500 --> 00:58:45,110 I'm not satisfied with that. I think, um, it's true that, you know, you can. 567 00:58:45,410 --> 00:58:48,739 I mean, doing the math is not the same as having an understanding. 568 00:58:48,740 --> 00:58:53,690 And that's why we're still arguing about it, as you say, you know, and I as I say, the math isn't that hard. 569 00:58:53,870 --> 00:59:02,060 You know, you can you can learn it. So I, I don't think that I, I'm not happy with the idea that, oh, you just have to learn the math. 570 00:59:02,070 --> 00:59:05,090 And that's the only way you'll get to understanding quantum mechanics. 571 00:59:05,330 --> 00:59:10,430 I think the math is a way of kind of, you know, not having to look at. 572 00:59:10,430 --> 00:59:17,810 It's the old, the cliche, um, that sort of arose in the, in the 1970s, I guess it was 1980s, actually. 573 00:59:18,110 --> 00:59:22,130 Uh, was the idea that quantum mechanics became about shut up and calculate. 574 00:59:22,400 --> 00:59:28,880 Yeah, stop worrying about these philosophical problems or what seemed like philosophical problems, and just do the math because it works. 575 00:59:29,330 --> 00:59:35,149 Um, and happily, that that situation has changed. 576 00:59:35,150 --> 00:59:36,590 And there are people now, you know, 577 00:59:36,590 --> 00:59:44,419 it's now no longer unfashionable or actually career damaging to ask these sorts of questions seem philosophical and actually, 578 00:59:44,420 --> 00:59:50,480 in some cases, to start to be able to see how you might be able to do experiments to, to, to get at them. 579 00:59:51,200 --> 00:59:55,880 It's probably fair to say that I both understand and don't understand what you're talking about. 580 00:59:56,720 --> 01:00:04,580 Um, but as people as smart as you, or perhaps smarter or certainly smarter than me wrestle with all these, um, 581 01:00:05,360 --> 01:00:13,849 bizarre philosophical paradoxes, what sort of practical value is generated or is expected to be generated? 582 01:00:13,850 --> 01:00:20,510 So the quantum computing, uh, I don't know what that is, but I guess it's probably a computer that's way faster than what we have now. 583 01:00:20,780 --> 01:00:26,780 But how does that make a difference for the average person or humanity or industry or whatever? 584 01:00:26,780 --> 01:00:34,610 Like where where do we end up with after we've had all these, uh, arguments and conversations and, and, uh. 585 01:00:35,560 --> 01:00:39,990 Philosophical discussions. Yeah. Well, it's very good question. 586 01:00:40,000 --> 01:00:44,930 I mean, I should say, first of all, that I wouldn't personally, uh, 587 01:00:44,950 --> 01:00:51,870 demand that there be practical applications of asking these questions in order to make them interesting in their own right. 588 01:00:51,880 --> 01:00:58,570 I think it's, you know, it just feels to me it's really interesting to think, well, what is what is reality really? 589 01:00:58,570 --> 01:01:02,590 That seems like a pretty fundamental question, but it does turn out that, you know, 590 01:01:02,590 --> 01:01:09,729 we do now have this quantum computing industry that's, I think, worth something like 4 billion already around the world. 591 01:01:09,730 --> 01:01:15,670 And there are lots of quantum computing firms, and it's just one of several quantum information technologies. 592 01:01:15,670 --> 01:01:21,790 Quantum cryptography is another using these quantum rules to transmit information in a way that you can't, 593 01:01:22,120 --> 01:01:27,370 uh, possibly, uh, eavesdrop on or you can't eavesdrop on without that being detected. 594 01:01:27,370 --> 01:01:29,470 So it's a much more secure system. 595 01:01:29,650 --> 01:01:38,260 And there's actually now a quantum, uh, internet being built that allows information to be, uh, shared this way in China. 596 01:01:38,290 --> 01:01:44,770 Uh, China is leaping ahead in these areas. Has already got a rudimentary network of that sort. 597 01:01:45,190 --> 01:01:51,519 Um, and yes, quantum computers are for certain sorts of problems, not for all, but for certain sorts of problems. 598 01:01:51,520 --> 01:01:53,979 They should be able to solve them much more quickly. 599 01:01:53,980 --> 01:02:01,120 And in fact, this is something that Feynman it comes from an idea from Feynman himself who figured he he just thought, 600 01:02:01,120 --> 01:02:04,599 well, nature itself is obviously quantum at the fundamental level. 601 01:02:04,600 --> 01:02:10,540 So if we want to simulate nature or if we want to simulate materials or molecules to figure out how they behave, 602 01:02:10,750 --> 01:02:17,980 surely we should do it using quantum principles, not with these classical computers, which where it's really clunky to have to make that translation. 603 01:02:18,340 --> 01:02:23,200 And that is one of the areas that quantum computers are likely to be useful for, 604 01:02:23,200 --> 01:02:30,640 for simulating materials so that we can do the sorts of calculations that might point us towards potentially new, 605 01:02:30,760 --> 01:02:33,970 uh, useful new materials or useful new new drugs. 606 01:02:34,390 --> 01:02:39,340 Um, now, it's it's tempting to overhype that, that kind of potential. 607 01:02:39,340 --> 01:02:46,479 And I think what that the truth is, uh, that we're going to end up I think when this, when this industry matures, 608 01:02:46,480 --> 01:02:51,070 we're going to end up with a hybrid of some things being done classically because classical 609 01:02:51,070 --> 01:02:55,719 computers are fine for them and other things being done quantum mechanically on quantum computers, 610 01:02:55,720 --> 01:03:00,970 because they can do those particular things faster. And we'll never know, because it'll all be done in the cloud, 611 01:03:00,970 --> 01:03:07,480 and we'll never know which parts of our research or whatever we're doing was done by quantum or by classical computing, 612 01:03:07,750 --> 01:03:11,170 where it'll just be, you know, more efficient somehow. 613 01:03:11,530 --> 01:03:16,809 So there are these applications of quantum information technology. 614 01:03:16,810 --> 01:03:22,330 And, um, you know, there are others to do with quantum sensors, very fine measurements of, um, 615 01:03:22,330 --> 01:03:28,780 of gravitational fields, for example, that are already, uh, being used in things like GPS system. 616 01:03:29,050 --> 01:03:34,450 So there are applications that, uh, you know, real world applications that, uh, that are going to be useful. 617 01:03:34,870 --> 01:03:36,459 Um, but yeah, I, 618 01:03:36,460 --> 01:03:44,230 I just reiterate that I think it's really important that we wouldn't make that a criterion for whether we pursue these questions or not. 619 01:03:44,260 --> 01:03:49,670 They seem to me just be intrinsically interesting. Thank you. 620 01:03:49,910 --> 01:03:54,770 I'm neither a physicist or a computer scientist, and you've sort of partly answered the question, I think just then. 621 01:03:54,770 --> 01:04:00,560 But I thought that quantum computer was a thing of beauty, but it kind of didn't look real. 622 01:04:01,250 --> 01:04:04,790 But I wondered if there's an infinite number of if isms. 623 01:04:05,360 --> 01:04:11,720 How do you get an accurate answer out of a quantum computer with an infinite number of observers? 624 01:04:13,400 --> 01:04:18,020 Um, okay. Uh, let me break up the quantum computer because it is a thing of atoms. 625 01:04:18,470 --> 01:04:22,010 It looks like it's something from a doctor or a sci fi film. 626 01:04:22,040 --> 01:04:29,080 Um, dev, I don't know if you saw devs was, you know, they made a big thing of their quantum computer in this series, this Alex Garland series. 627 01:04:29,090 --> 01:04:30,530 But that is what they look like. 628 01:04:30,680 --> 01:04:37,760 The weird thing is that the actual computing bit of this, most of this is wiring and cooling, because you have to cool these things down a lot. 629 01:04:37,790 --> 01:04:41,120 The actual computing bit is really it's like the size of a thumbnail. 630 01:04:41,420 --> 01:04:45,709 Um, uh, because it's all being done on these tiny little superconducting loops. 631 01:04:45,710 --> 01:04:50,990 Or sometimes people just use individual atoms or ions as the qubits, but they are real. 632 01:04:51,020 --> 01:04:54,469 Uh, and they do work and they work as, as predicted. 633 01:04:54,470 --> 01:05:02,840 And they're not yet it's controversial, actually, whether they're yet at the stage of doing anything faster than classical computers, 634 01:05:03,050 --> 01:05:07,879 but they're very good reason to believe that they they will be able to do that. 635 01:05:07,880 --> 01:05:12,770 Um, you know, that, that, that they're getting bigger and bigger and more and more powerful. 636 01:05:13,220 --> 01:05:21,120 Um, so, but. The the the outcomes aren't, um, uh, aren't infinite. 637 01:05:21,150 --> 01:05:24,809 What's really happening? You have a set of maybe these days, 638 01:05:24,810 --> 01:05:30,780 it could be up to about a thousand of these quantum bits that are lots of them are all sort of entangled with each other. 639 01:05:30,960 --> 01:05:39,030 And because, as I say, because of that, they can kind of share information in a very efficient way that allows a computation to be done more quickly. 640 01:05:39,240 --> 01:05:44,520 Um, but, you know, there's it's finite, there's already a finite set of outcomes. 641 01:05:44,520 --> 01:05:51,299 And very often the kinds of problems that they do very well are ones of optimisation, where there's lots of possible answers. 642 01:05:51,300 --> 01:05:53,160 But you want to find the one, the best one. 643 01:05:53,190 --> 01:06:00,420 You want to find the one like in logistics, you want to find the route that you know that is most efficient, that saves you the most time. 644 01:06:00,570 --> 01:06:05,790 That's the kind of, uh, problem that quantum computers are likely to be good at solving. 645 01:06:06,060 --> 01:06:14,940 So, you know, there's a finite set of possibilities, but it's just too big for classical computers that have to work through every single possibility. 646 01:06:15,060 --> 01:06:22,500 And once you've got, you know, 100 different elements, the number of permutations of those is just literally astronomical. 647 01:06:22,620 --> 01:06:26,870 And so it takes forever, you know, literally to find the answer. 648 01:06:26,880 --> 01:06:34,950 Whereas with quantum computers, because of this, extra ways that they can share mutual information, you can do it much more efficiently. 649 01:06:34,980 --> 01:06:41,130 So that's really how it's working. Right. Um, I think we're beginning to run out of time on Beaujolais. 650 01:06:41,170 --> 01:06:46,210 So, uh, because we got to hand over the stage to tonight's, uh, production of Arthur Miller's play. 651 01:06:46,460 --> 01:06:50,530 Um, and Phil has done a fantastic job, I think, of putting us in a kind of, uh, 652 01:06:50,550 --> 01:06:55,690 as our audience member said, a kind of superposition of understanding and not quite understanding. 653 01:06:55,690 --> 01:07:03,670 But I'm. I'm hoping that, uh, you've increased the probability that when we collapse you as an audience as you go out, that you'll be more on the. 654 01:07:03,880 --> 01:07:08,650 I think I understood that, um, than the I'm still lost in this kind of world. 655 01:07:08,650 --> 01:07:15,250 So, um, uh, we're going to come and have a drink in the bar afterwards, so we didn't get the chance to ask a question. 656 01:07:15,520 --> 01:07:20,379 Uh, there'll be a chance to, uh, to meet Bill and, uh, uh, quiz him a little bit more, but, 657 01:07:20,380 --> 01:07:25,900 uh, um, let's just give a big round of applause for, uh, a wonderful talk of the quantum. 658 01:07:25,900 --> 01:07:27,070 Well, thank you. Fielded.