Teaching quantum physics to everyone: pictures offer a new way of understanding
Quantum science is enjoying a renaissance as nascent quantum computers emerge from the lab and quantum sensors are being used for practical applications.
As the technologies we use become more quantum in nature, it follows that everyone should have a basic understanding of quantum physics. To explore how quantum physics can be taught to the masses, I am joined by Arjan Dhawan, Aleks Kissinger and Bob Coecke – who are all based in the UK.
Coecke is chief scientist at Quantinuum – which develops quantum computing hardware and software. Kissinger is associate professor of quantum computing at the University of Oxford; and Dhawan is studying mathematics at the University of Durham.
Kissinger and Coecke have developed a way of teaching quantum physics using diagrams. In 2023, Oxford and Quantinuum joined forces to use the method in a pilot summer programme for 15 to 17 year-olds. Dhawan was one of their students.
- The books mentioned in the podcast are Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning by Bob Coecke and Aleks Kissinger; and Quantum in Pictures: A New Way to Understand the Quantum World by Bob Coecke and Stefano Gogioso.
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This article forms part of Physics World‘s contribution to the 2025 International Year of Quantum Science and Technology (IYQ), which aims to raise global awareness of quantum physics and its applications.
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1 00:00:08,080 --> 00:00:11,039 Hello, and welcome to the Physics World weekly 2 00:00:11,039 --> 00:00:11,539 podcast. 3 00:00:11,839 --> 00:00:13,139 I'm Hamish Johnston. 4 00:00:13,634 --> 00:00:14,375 In this episode, 5 00:00:14,675 --> 00:00:16,295 we explore how pictures 6 00:00:16,675 --> 00:00:18,775 can be used to teach the fundamentals 7 00:00:19,315 --> 00:00:20,774 of quantum physics 8 00:00:21,155 --> 00:00:21,894 to everyone. 9 00:00:22,755 --> 00:00:25,815 But first, a message from IOP publishing, 10 00:00:26,275 --> 00:00:28,214 which brings you Physics World 11 00:00:28,609 --> 00:00:32,310 and also publishes an impressive range of scholarly 12 00:00:32,370 --> 00:00:32,870 journals, 13 00:00:33,329 --> 00:00:34,390 conference proceedings, 14 00:00:34,850 --> 00:00:35,750 and ebooks. 15 00:00:36,850 --> 00:00:40,070 You can download the book, The Ringed Planet 16 00:00:40,370 --> 00:00:41,350 second edition, 17 00:00:41,984 --> 00:00:44,804 for free for a limited time only 18 00:00:45,184 --> 00:00:51,204 at i0ppublishing.org/theringedplanet 19 00:00:51,585 --> 00:00:52,484 free book. 20 00:00:53,104 --> 00:00:55,924 The book is a must read on Saturn 21 00:00:56,189 --> 00:00:57,809 and the Cassini mission. 22 00:00:58,429 --> 00:01:01,329 And you can also check out the updated 23 00:01:01,710 --> 00:01:02,530 and expanded 24 00:01:02,909 --> 00:01:05,009 third edition by Joshua 25 00:01:05,549 --> 00:01:06,049 Colwell, 26 00:01:06,430 --> 00:01:08,290 which is hot off the press. 27 00:01:08,909 --> 00:01:11,475 You can find it with all of I 28 00:01:11,475 --> 00:01:11,975 OPP's 29 00:01:12,355 --> 00:01:12,855 ebooks 30 00:01:13,314 --> 00:01:20,935 at i0ppublishing.org/publications/ebooks. 31 00:01:21,475 --> 00:01:24,355 And while you're browsing titles, remember that you 32 00:01:24,355 --> 00:01:26,760 can always read the first chapters 33 00:01:27,060 --> 00:01:27,799 of all 34 00:01:28,180 --> 00:01:30,760 I OPP ebooks for free. 35 00:01:31,380 --> 00:01:33,719 And I'll include both of those URLs 36 00:01:34,340 --> 00:01:36,359 in the notes for this episode. 37 00:01:37,540 --> 00:01:40,520 Today, quantum physics is enjoying a renaissance 38 00:01:41,084 --> 00:01:42,545 in science and technology. 39 00:01:43,484 --> 00:01:45,185 After decades of speculation, 40 00:01:45,885 --> 00:01:49,484 quantum computers are now real things, and quantum 41 00:01:49,484 --> 00:01:52,204 sensors are being used in a wide range 42 00:01:52,204 --> 00:01:53,025 of applications 43 00:01:53,790 --> 00:01:54,609 from underground 44 00:01:54,990 --> 00:01:55,490 surveying 45 00:01:55,950 --> 00:01:57,810 to measuring brain activity. 46 00:01:58,829 --> 00:01:59,730 As the technologies 47 00:02:00,109 --> 00:02:02,770 we use become more quantum in nature, 48 00:02:03,150 --> 00:02:05,890 it follows that everyone should have a basic 49 00:02:06,030 --> 00:02:06,530 understanding 50 00:02:06,990 --> 00:02:08,370 of quantum physics, 51 00:02:08,985 --> 00:02:12,584 something that today remains mostly the preserve of 52 00:02:12,584 --> 00:02:13,084 scientists, 53 00:02:13,625 --> 00:02:14,125 engineers, 54 00:02:14,584 --> 00:02:15,485 and mathematicians. 55 00:02:16,745 --> 00:02:19,705 To explore how quantum physics can be taught 56 00:02:19,705 --> 00:02:20,364 to everyone, 57 00:02:20,824 --> 00:02:22,604 I'm joined by Arjun 58 00:02:22,985 --> 00:02:23,485 Dovin, 59 00:02:24,419 --> 00:02:27,080 Alex Kissinger, and Bob Kuka, 60 00:02:27,460 --> 00:02:29,479 who are all based in The UK. 61 00:02:30,819 --> 00:02:33,560 Bob is chief scientist at Quantinium, 62 00:02:34,180 --> 00:02:37,719 which develops quantum computing hardware and software. 63 00:02:38,825 --> 00:02:42,284 Alex is associate professor of quantum computing 64 00:02:42,665 --> 00:02:44,365 at the University of Oxford, 65 00:02:44,985 --> 00:02:47,245 and Arjun is studying mathematics 66 00:02:47,705 --> 00:02:49,325 at the University of Durham. 67 00:02:50,185 --> 00:02:52,504 Alex and Bob have developed a way of 68 00:02:52,504 --> 00:02:53,004 teaching 69 00:02:53,305 --> 00:02:54,365 quantum physics 70 00:02:54,930 --> 00:02:55,830 using diagrams. 71 00:02:56,610 --> 00:02:58,229 And in 2023, 72 00:02:58,689 --> 00:02:59,989 Oxford and Quantinium 73 00:03:00,449 --> 00:03:01,269 joined forces 74 00:03:01,650 --> 00:03:04,689 to use this method in a pilot summer 75 00:03:04,689 --> 00:03:05,189 program 76 00:03:05,569 --> 00:03:08,389 for fifteen to seventeen year olds, 77 00:03:08,715 --> 00:03:09,534 and Arjun 78 00:03:09,835 --> 00:03:11,375 was one of their students. 79 00:03:12,075 --> 00:03:14,335 Hi, Alex, Arjun, and Bob. 80 00:03:14,635 --> 00:03:15,935 Welcome to the podcast. 81 00:03:16,955 --> 00:03:17,775 So, Bob, 82 00:03:18,155 --> 00:03:19,534 could can we start off 83 00:03:20,314 --> 00:03:20,795 by, 84 00:03:21,194 --> 00:03:24,629 having you explain why the time has come 85 00:03:24,849 --> 00:03:27,270 to teach quantum physics to everyone, 86 00:03:27,889 --> 00:03:29,510 not just physics students? 87 00:03:30,370 --> 00:03:32,770 So what's happening at the moment or is 88 00:03:32,770 --> 00:03:35,010 about to happen, and people should have noticed 89 00:03:35,010 --> 00:03:36,530 this, I guess, if they're listening to a 90 00:03:36,530 --> 00:03:38,805 podcast like this, is that we're, like, on 91 00:03:38,805 --> 00:03:39,625 the verge of 92 00:03:40,324 --> 00:03:42,485 a a technological revolution, which is gonna be 93 00:03:42,485 --> 00:03:44,644 the quantum revolution. Some people call this the 94 00:03:44,644 --> 00:03:47,784 second quantum revolution after what happened, of course, 95 00:03:48,004 --> 00:03:49,465 in the beginning of the previous 96 00:03:50,740 --> 00:03:51,240 century. 97 00:03:51,860 --> 00:03:52,599 And and 98 00:03:53,219 --> 00:03:53,719 so 99 00:03:54,260 --> 00:03:55,480 this is gonna impact, 100 00:03:56,180 --> 00:03:57,800 many aspects of our life, 101 00:03:59,060 --> 00:04:01,219 very soon for many people. And so you 102 00:04:01,219 --> 00:04:02,840 want some form of inclusivity 103 00:04:03,675 --> 00:04:04,414 with respect 104 00:04:04,875 --> 00:04:07,694 to people knowing what is going on. 105 00:04:08,314 --> 00:04:10,875 So it's usually, quantum is conceived as something 106 00:04:10,875 --> 00:04:11,375 that 107 00:04:11,834 --> 00:04:14,074 you need a university degree and and or 108 00:04:14,074 --> 00:04:15,854 a or a PhD to understand. 109 00:04:16,470 --> 00:04:18,490 And now we have the tool at hand 110 00:04:18,629 --> 00:04:21,430 for, like, a much broader, like, portion of 111 00:04:21,430 --> 00:04:21,930 society, 112 00:04:22,310 --> 00:04:24,230 even not everybody, because we like to say 113 00:04:24,230 --> 00:04:25,370 quantum for everyone, 114 00:04:26,069 --> 00:04:29,189 can actually understand quantum and grasp the basic 115 00:04:29,189 --> 00:04:29,689 concepts. 116 00:04:30,084 --> 00:04:32,164 That's basically what this podcast is about. Some 117 00:04:32,164 --> 00:04:32,664 work, 118 00:04:33,125 --> 00:04:35,685 Alex and I did, some experiments with it 119 00:04:35,685 --> 00:04:37,444 a little bit back to show that what 120 00:04:37,444 --> 00:04:40,664 I'm claiming here is actually true. Now inclusivity 121 00:04:41,125 --> 00:04:42,345 means, for example, 122 00:04:43,120 --> 00:04:45,680 that people students can learn this at high 123 00:04:45,680 --> 00:04:47,600 school or later, but also that people in 124 00:04:47,600 --> 00:04:49,939 countries which are usually not that much subject 125 00:04:50,240 --> 00:04:52,980 to to technological things, like in Africa, 126 00:04:53,439 --> 00:04:54,580 also can be part 127 00:04:55,040 --> 00:04:57,245 of this gig. And maybe that's something that's 128 00:04:57,245 --> 00:04:59,004 gonna come up later in this in in 129 00:04:59,004 --> 00:05:01,004 this chat. I actually believe that some non 130 00:05:01,004 --> 00:05:04,125 Western countries actually have an advantage now to 131 00:05:04,125 --> 00:05:06,205 to be inclusive. Now another thing is I 132 00:05:06,205 --> 00:05:07,645 mean, I was asked to speak at the 133 00:05:07,645 --> 00:05:10,019 US capital because this is case of 134 00:05:10,500 --> 00:05:11,000 workforce 135 00:05:11,699 --> 00:05:14,339 preparation, like making the workforce much bigger for 136 00:05:14,339 --> 00:05:16,039 quantum, which is also necessary. 137 00:05:16,500 --> 00:05:18,899 And I would also bring in accountability here 138 00:05:18,899 --> 00:05:20,899 because of what we are seeing now with 139 00:05:20,899 --> 00:05:23,295 AIs. Nobody has a clue what's going on. 140 00:05:23,775 --> 00:05:25,154 And that's not very healthy, 141 00:05:25,455 --> 00:05:26,975 especially if only a few people in the 142 00:05:26,975 --> 00:05:28,574 world with a lot of billions can make 143 00:05:28,574 --> 00:05:30,895 all the decisions while nobody else knows what's 144 00:05:30,895 --> 00:05:32,975 going on. So that's the last one. And, 145 00:05:33,055 --> 00:05:34,415 I mean, as as a last command, I 146 00:05:34,415 --> 00:05:37,079 would say, quantum comes with a radical shift 147 00:05:37,639 --> 00:05:39,639 in worldview, in the way we perceive the 148 00:05:39,639 --> 00:05:42,439 world, not in contrast to classical physics, but 149 00:05:42,439 --> 00:05:44,039 I would actually take this back two thousand 150 00:05:44,039 --> 00:05:46,360 five hundred years to the presocratics. But maybe 151 00:05:46,360 --> 00:05:47,659 we can talk about that later. 152 00:05:48,599 --> 00:05:50,439 I see. And and, Bob, this is, I 153 00:05:50,439 --> 00:05:52,814 mean, this isn't just a concept for you. 154 00:05:52,814 --> 00:05:53,294 You, 155 00:05:53,935 --> 00:05:55,954 you have spent a lot of time, 156 00:05:56,814 --> 00:05:59,055 trying to come up with ways of of, 157 00:05:59,055 --> 00:06:00,034 I suppose, teaching 158 00:06:00,334 --> 00:06:02,834 quantum physics to to non physicists, 159 00:06:03,539 --> 00:06:06,259 to the to the general public. And and 160 00:06:06,259 --> 00:06:08,120 one thing that you've done is you've coauthored 161 00:06:08,259 --> 00:06:10,519 a book called Quantum in Pictures. 162 00:06:10,979 --> 00:06:12,680 And that takes a a graphical 163 00:06:13,060 --> 00:06:15,479 approach with no sort of conventional 164 00:06:15,860 --> 00:06:16,360 equations 165 00:06:16,855 --> 00:06:19,675 to teach quantum physics to a wide audience. 166 00:06:19,975 --> 00:06:22,375 Can you describe the the approach that you've 167 00:06:22,375 --> 00:06:23,435 taken in the book? 168 00:06:23,735 --> 00:06:25,595 I mean, this was a very long process. 169 00:06:25,735 --> 00:06:26,055 And, 170 00:06:26,694 --> 00:06:28,714 so so my background historically, 171 00:06:29,574 --> 00:06:31,274 going back to the nineteen nineties, 172 00:06:31,829 --> 00:06:33,669 is is kind of more with a new 173 00:06:33,669 --> 00:06:35,910 language for quantum over or a new mathematics 174 00:06:35,910 --> 00:06:37,910 for quantum. And this goes back to a 175 00:06:37,910 --> 00:06:38,410 question 176 00:06:38,790 --> 00:06:41,370 of John von Neumann post in nineteen thirty 177 00:06:41,750 --> 00:06:44,229 nineteen thirty five when he based John von 178 00:06:44,229 --> 00:06:46,229 Neumann is the father of the usual quantum 179 00:06:46,229 --> 00:06:46,729 mechanical, 180 00:06:47,355 --> 00:06:49,675 formalism, Hilbert space, also being the father of 181 00:06:49,675 --> 00:06:51,675 the computers we're using here to talk, by 182 00:06:51,675 --> 00:06:53,754 the way. And he denounced his own quantum 183 00:06:53,754 --> 00:06:56,235 mechanical formulas in 1935. 184 00:06:56,235 --> 00:06:58,335 So I came from a culture, a community 185 00:06:58,634 --> 00:07:00,475 where we try to come up with something 186 00:07:00,475 --> 00:07:00,975 new. 187 00:07:01,589 --> 00:07:03,469 And then I was very lucky to actually 188 00:07:03,750 --> 00:07:05,509 with a background as a physicist to end 189 00:07:05,509 --> 00:07:07,129 up in a computer science department 190 00:07:07,430 --> 00:07:09,509 in Oxford where where Alex now is a 191 00:07:09,509 --> 00:07:10,949 is a professor. I used to be a 192 00:07:10,949 --> 00:07:12,009 professor there. 193 00:07:12,310 --> 00:07:12,969 And then 194 00:07:13,745 --> 00:07:15,904 new ways of viewing at the world came 195 00:07:15,904 --> 00:07:18,144 from computer science, which are more about thinking 196 00:07:18,144 --> 00:07:20,544 of things in terms of processes and thinking 197 00:07:20,544 --> 00:07:21,925 of things in how 198 00:07:22,464 --> 00:07:25,745 stuff composes together, which are very fundamental computer 199 00:07:25,745 --> 00:07:26,245 science, 200 00:07:26,850 --> 00:07:29,250 concepts which a physicist would typically not think 201 00:07:29,250 --> 00:07:32,610 about in first order. And that basically gave 202 00:07:32,610 --> 00:07:34,290 a completely new view on how to build 203 00:07:34,290 --> 00:07:35,750 a quantum mechanical formalism. 204 00:07:36,209 --> 00:07:38,290 Our first idea was basically to build the 205 00:07:38,290 --> 00:07:38,790 formalism 206 00:07:39,169 --> 00:07:41,569 as a high level language for quantum, just 207 00:07:41,569 --> 00:07:43,894 like any programming language is a high level 208 00:07:43,894 --> 00:07:46,294 language for zeros and ones in your classical 209 00:07:46,294 --> 00:07:48,055 computer. And we want to do the do 210 00:07:48,055 --> 00:07:49,974 the same for quantum, but then very early 211 00:07:49,974 --> 00:07:51,495 on, I mean, we I started this in 212 00:07:51,495 --> 00:07:54,074 02/2003, '2 thousand '4. In 02/2005, 213 00:07:54,134 --> 00:07:54,875 we realized 214 00:07:55,420 --> 00:07:57,680 that the language we used were actually pictures. 215 00:07:57,900 --> 00:08:00,160 And these pictures go back to Roger Penrose. 216 00:08:00,379 --> 00:08:03,259 When Roger Penrose was an undergraduate student, he 217 00:08:03,259 --> 00:08:04,779 actually had to ill and he had to 218 00:08:04,779 --> 00:08:06,240 learn relativity theory. 219 00:08:06,699 --> 00:08:08,939 He basically realized that the symbols you typically 220 00:08:08,939 --> 00:08:11,435 use in relativity theory could be But 221 00:08:12,774 --> 00:08:14,634 it was only in the late nineties that 222 00:08:14,855 --> 00:08:16,935 people realized that it was actually gen genuine 223 00:08:16,935 --> 00:08:19,495 mathematic. And then over in a process of 224 00:08:19,495 --> 00:08:22,294 twenty years, we've a great involvement with with 225 00:08:22,294 --> 00:08:25,355 Alex. We actually ended up with a formalism, 226 00:08:25,495 --> 00:08:26,394 which was entirely 227 00:08:27,199 --> 00:08:29,839 diagrammatic. The first the first subject were actually 228 00:08:29,839 --> 00:08:31,779 the students at University of Oxford, 229 00:08:32,080 --> 00:08:34,639 like postgraduate students. So Alex and I, we 230 00:08:34,639 --> 00:08:36,480 together started a course. And in the process 231 00:08:36,480 --> 00:08:38,799 of the the the textbook of this course 232 00:08:38,799 --> 00:08:41,620 is now a book called, Picturing Quantum Processes. 233 00:08:42,024 --> 00:08:42,924 It's thousand pages. 234 00:08:43,945 --> 00:08:45,565 And so but then 235 00:08:45,945 --> 00:08:48,584 that book was not suitable for people without 236 00:08:48,584 --> 00:08:51,404 the right mathematical background. And then later, 237 00:08:51,945 --> 00:08:52,605 we basically, 238 00:08:53,784 --> 00:08:55,889 wrote this new book where we said, okay. 239 00:08:55,970 --> 00:08:58,070 There shouldn't be any a requirements 240 00:08:58,690 --> 00:09:00,850 in there anymore. So I'll end up, I'll 241 00:09:00,850 --> 00:09:02,929 end over to Alex who's now more hands 242 00:09:02,929 --> 00:09:04,230 on on these things. 243 00:09:06,049 --> 00:09:09,105 Yeah. So I've I think, really, for me, 244 00:09:09,105 --> 00:09:11,345 this started back around 2012 245 00:09:11,345 --> 00:09:14,325 or so, when when Bob and I revamped 246 00:09:14,544 --> 00:09:16,565 the quantum computing course here. 247 00:09:17,424 --> 00:09:19,504 So during my PhD, a lot of this 248 00:09:19,504 --> 00:09:22,144 early stuff about processes and things that Bob 249 00:09:22,144 --> 00:09:23,125 was talking about 250 00:09:24,679 --> 00:09:27,019 was all formalized using a kind of mathematics 251 00:09:27,079 --> 00:09:28,379 called category theory, 252 00:09:29,639 --> 00:09:31,720 which which is just a very abstract way 253 00:09:31,720 --> 00:09:32,620 of talking about 254 00:09:33,879 --> 00:09:35,659 processes in a general sense. 255 00:09:36,850 --> 00:09:38,355 But sort of toward the end of my 256 00:09:38,355 --> 00:09:40,754 PhD, we realized that the mathematics there wasn't 257 00:09:40,754 --> 00:09:42,754 so necessary, and you could sort of pull 258 00:09:42,754 --> 00:09:44,695 that out, teach everything with pictures. 259 00:09:45,875 --> 00:09:47,555 And then over about a decade of me 260 00:09:47,555 --> 00:09:49,955 and Bob teaching this course, we were teaching 261 00:09:49,955 --> 00:09:51,795 people from a lot of different backgrounds, so 262 00:09:51,795 --> 00:09:53,129 not just physics and maths, 263 00:09:53,769 --> 00:09:56,169 but also engineering and some social sciences and 264 00:09:56,169 --> 00:09:58,429 stuff, and realized that that you can actually 265 00:09:59,210 --> 00:10:01,850 teach quantum concepts to people, you know, much 266 00:10:01,850 --> 00:10:02,590 more broadly 267 00:10:03,049 --> 00:10:06,009 than that. And, I think that, that Bob 268 00:10:06,009 --> 00:10:07,850 and Stefano's book and then and then this 269 00:10:07,850 --> 00:10:09,075 experiment that we did last 270 00:10:09,634 --> 00:10:10,674 year with high school students was kind of 271 00:10:10,674 --> 00:10:11,335 the natural 272 00:10:11,715 --> 00:10:13,794 next step in that in in in making 273 00:10:13,794 --> 00:10:15,495 that a bit bit more broad. 274 00:10:16,514 --> 00:10:18,995 I see. And and in quantum mechanics is 275 00:10:19,154 --> 00:10:19,735 I mean, 276 00:10:20,035 --> 00:10:22,134 is there a a sort of long tradition 277 00:10:22,195 --> 00:10:23,659 of sort of simplifying 278 00:10:23,960 --> 00:10:26,919 things by well, maybe not simplifying is is 279 00:10:26,919 --> 00:10:28,379 is not the right word, but 280 00:10:29,559 --> 00:10:31,419 expressing things in terms of 281 00:10:31,799 --> 00:10:32,759 images or, 282 00:10:33,240 --> 00:10:35,000 diagrams? Because, you know, I'm sort of thinking 283 00:10:35,000 --> 00:10:35,500 of, 284 00:10:37,694 --> 00:10:38,194 matrix, 285 00:10:38,735 --> 00:10:41,154 mechanics, and then you've got Dirac notation 286 00:10:41,694 --> 00:10:44,414 and Feynman diagrams. There, you know, there seems 287 00:10:44,414 --> 00:10:47,074 to be a a real desire amongst physicists 288 00:10:47,214 --> 00:10:50,115 to use graphical means to understand 289 00:10:50,840 --> 00:10:54,200 quantum physics. And, do you see the these 290 00:10:54,200 --> 00:10:57,340 pictures as a as a natural evolution from 291 00:10:57,639 --> 00:10:58,779 from those concepts? 292 00:10:59,800 --> 00:11:02,600 Yes and no. Like, know whether the desire 293 00:11:02,600 --> 00:11:03,259 is there. 294 00:11:03,684 --> 00:11:05,684 Because, I mean, one of the big, well 295 00:11:05,684 --> 00:11:07,704 known examples are Feynman diagrams. 296 00:11:08,164 --> 00:11:10,424 So which Feynman diagrams are a calculation 297 00:11:11,125 --> 00:11:13,845 tool in quantum field theory to make your 298 00:11:13,845 --> 00:11:17,009 com computation much easier. Feynman had to fight 299 00:11:17,009 --> 00:11:19,250 really, really hard to get him through. Although 300 00:11:19,250 --> 00:11:21,730 now everybody sort of assumes, okay. That's that's, 301 00:11:21,730 --> 00:11:22,230 like, 302 00:11:22,929 --> 00:11:23,990 totally straightforwardly 303 00:11:24,370 --> 00:11:26,870 acceptable. No. It wasn't like that at all. 304 00:11:27,009 --> 00:11:29,570 And when you mentioned direct notation, I remember 305 00:11:29,570 --> 00:11:31,134 I was a student in the in the 306 00:11:31,134 --> 00:11:34,514 nineties in a mathematical physics, theoretical physics group. 307 00:11:34,575 --> 00:11:36,835 People looked down on direct notation 308 00:11:37,215 --> 00:11:39,154 because it didn't have the sort of 309 00:11:40,095 --> 00:11:42,195 what they assume sophistication 310 00:11:42,575 --> 00:11:44,195 of the infinite dimensional 311 00:11:44,575 --> 00:11:47,330 complicated stuff. Okay. I'm gonna say something sociological 312 00:11:47,389 --> 00:11:47,889 here. 313 00:11:48,509 --> 00:11:50,750 So so the science as we know it 314 00:11:50,750 --> 00:11:52,990 physically is a very much used to be 315 00:11:52,990 --> 00:11:55,309 a very much white male dominated thing with 316 00:11:55,309 --> 00:11:57,169 a lot of ego and machoism. 317 00:11:57,789 --> 00:11:59,764 And so when I was a student in 318 00:11:59,764 --> 00:12:01,144 the '90, it was really about 319 00:12:01,524 --> 00:12:03,384 the more complicated it is, the better. 320 00:12:04,084 --> 00:12:06,664 And we had to fight really, really hard 321 00:12:06,884 --> 00:12:09,865 to push this formalism through in the mainstream 322 00:12:10,004 --> 00:12:10,504 communities 323 00:12:11,070 --> 00:12:12,830 exactly for the reason that I said. People 324 00:12:12,830 --> 00:12:15,070 said, this can't something simple like that can't 325 00:12:15,070 --> 00:12:15,809 be useful 326 00:12:16,110 --> 00:12:17,889 in any way. Now meanwhile 327 00:12:18,269 --> 00:12:20,590 and, actually, Alex is more active in in 328 00:12:20,590 --> 00:12:23,230 that than me. All the main players in 329 00:12:23,230 --> 00:12:26,565 quantum computing, quantum industry, they're all using this. 330 00:12:27,044 --> 00:12:29,845 Now it's so widespread, but it took us 331 00:12:29,845 --> 00:12:32,345 so long to fight and to get, 332 00:12:32,965 --> 00:12:36,325 things things basically published and and accepted. And 333 00:12:36,325 --> 00:12:37,764 part of the thing we had to do, 334 00:12:37,764 --> 00:12:40,679 which is what Alex alluded to earlier, is 335 00:12:40,679 --> 00:12:43,559 to use this abstract mathematical language of category 336 00:12:43,559 --> 00:12:45,559 theory to make it look more difficult than 337 00:12:45,559 --> 00:12:46,620 it actually is. 338 00:12:47,080 --> 00:12:49,179 And that's how we got our papers accepted. 339 00:12:50,200 --> 00:12:52,059 We had to get rid of that stigma 340 00:12:52,360 --> 00:12:54,360 of of this category theory, and that's why 341 00:12:54,360 --> 00:12:55,934 we wrote the big book because there was 342 00:12:56,095 --> 00:12:58,034 no mention of category theory anymore. 343 00:12:58,815 --> 00:13:01,154 Okay. And I'd like to move on from, 344 00:13:01,534 --> 00:13:03,875 from from books into teaching. 345 00:13:04,495 --> 00:13:06,995 And in in 2023, 346 00:13:08,429 --> 00:13:11,389 Bob and Alex, I believe you you're both 347 00:13:11,389 --> 00:13:12,610 involved in a 348 00:13:12,910 --> 00:13:15,570 ten week summer course of short lectures 349 00:13:16,029 --> 00:13:19,629 that taught British teenagers, I think, age 15 350 00:13:19,629 --> 00:13:20,450 to 17, 351 00:13:20,884 --> 00:13:23,784 how to apply the the concepts in quantum 352 00:13:24,164 --> 00:13:24,985 in pictures. 353 00:13:26,485 --> 00:13:28,745 Alex, can you tell us about that course? 354 00:13:29,924 --> 00:13:31,605 Yeah. So this was a course. It was 355 00:13:31,605 --> 00:13:33,845 also a kind of a pilot experiment for 356 00:13:33,845 --> 00:13:35,625 this this style of education. 357 00:13:36,519 --> 00:13:37,960 So so it was a team. It was 358 00:13:38,120 --> 00:13:40,360 the project was jointly done by Quantinium and 359 00:13:40,360 --> 00:13:41,659 Oxford Computer Science, 360 00:13:42,919 --> 00:13:43,980 where we took, 361 00:13:44,759 --> 00:13:46,220 in the end, about 50, 362 00:13:47,799 --> 00:13:48,860 UK High Schoolers, 363 00:13:49,875 --> 00:13:51,794 from a pool of about a thousand people 364 00:13:51,794 --> 00:13:52,454 that volunteered, 365 00:13:53,634 --> 00:13:55,574 and gave them a course, 366 00:13:56,595 --> 00:13:58,754 as as close as we could kinda within 367 00:13:58,754 --> 00:13:59,495 our constraints 368 00:13:59,954 --> 00:14:00,774 to a 369 00:14:01,409 --> 00:14:03,190 Oxford Cambridge style 370 00:14:05,089 --> 00:14:06,870 graduate graduate course. 371 00:14:07,570 --> 00:14:09,509 So it was eight weeks of lectures, 372 00:14:10,370 --> 00:14:11,669 along with small group, 373 00:14:12,370 --> 00:14:14,709 tutorial sessions. So this was all done online, 374 00:14:16,164 --> 00:14:18,345 and then followed by a, 375 00:14:18,725 --> 00:14:20,105 take home exam. 376 00:14:21,764 --> 00:14:22,245 So, 377 00:14:22,644 --> 00:14:25,284 the lectures were prerecorded and shared with the 378 00:14:25,284 --> 00:14:26,904 students on on YouTube. 379 00:14:27,629 --> 00:14:29,389 And then the and then the small group, 380 00:14:29,629 --> 00:14:31,870 tutorial sessions were were just, like, 381 00:14:32,750 --> 00:14:34,290 Zoom chat type things. 382 00:14:35,389 --> 00:14:37,230 So it was it was it was intended 383 00:14:37,230 --> 00:14:39,090 to be a kind of a interactive thing, 384 00:14:39,704 --> 00:14:41,464 but then but then also to to get 385 00:14:41,544 --> 00:14:43,544 to give a bit of this, sort of 386 00:14:43,544 --> 00:14:44,924 university style experience. 387 00:14:46,264 --> 00:14:48,584 I see. And and we've also well, we 388 00:14:48,664 --> 00:14:50,584 we're we're very lucky to have a a 389 00:14:50,584 --> 00:14:51,084 graduate 390 00:14:51,720 --> 00:14:54,459 of that summer course with us, Arjun. 391 00:14:56,360 --> 00:14:57,259 Why did you, 392 00:14:58,199 --> 00:15:00,679 decide to take part in, in this course? 393 00:15:00,679 --> 00:15:02,860 Did you did you already have an interest 394 00:15:03,079 --> 00:15:05,799 in quantum physics? Or were were you just 395 00:15:05,799 --> 00:15:07,034 curious to, 396 00:15:07,995 --> 00:15:09,294 Why did you sign up? 397 00:15:10,714 --> 00:15:12,634 Yes. So I think it's probably more in 398 00:15:12,634 --> 00:15:14,554 regards to the latter part. I I would 399 00:15:14,554 --> 00:15:17,214 say I became, like, fascinated with quantum physics. 400 00:15:18,475 --> 00:15:21,049 I remember at that point, I had just 401 00:15:21,049 --> 00:15:22,889 finished year 12, and, 402 00:15:23,690 --> 00:15:26,429 I took a level physics. So by the 403 00:15:26,649 --> 00:15:29,610 summer term, we started doing quantum phenomena. And 404 00:15:29,610 --> 00:15:31,289 I remember specifically, it was, 405 00:15:32,250 --> 00:15:34,555 we did this experiment with, I believe it's 406 00:15:34,555 --> 00:15:36,555 called, like, an electron gun, and we were 407 00:15:36,555 --> 00:15:38,415 looking at electron diffraction. 408 00:15:40,154 --> 00:15:41,915 And I just thought, like, the concept of, 409 00:15:41,915 --> 00:15:44,235 like, wave particle duality was just so cool. 410 00:15:44,235 --> 00:15:44,735 Like, 411 00:15:45,355 --> 00:15:46,919 I thought it was definitely something I would 412 00:15:47,879 --> 00:15:49,559 I would find fascinating, just the fact that 413 00:15:49,559 --> 00:15:51,500 it's so new and it's so unusual. 414 00:15:53,000 --> 00:15:55,500 And so I suppose that made me aware. 415 00:15:55,559 --> 00:15:57,980 And then it was actually my friend who, 416 00:15:58,839 --> 00:16:00,220 was recommended the course 417 00:16:00,759 --> 00:16:02,444 by his teacher. So then he sent it 418 00:16:02,444 --> 00:16:04,365 to me and suggested, like, overshoot this together 419 00:16:04,365 --> 00:16:06,304 could be, something fun. 420 00:16:07,245 --> 00:16:09,324 I see. And and what did you enjoy 421 00:16:09,324 --> 00:16:09,824 most, 422 00:16:10,524 --> 00:16:11,664 about the program? 423 00:16:14,764 --> 00:16:16,204 Well, I I would say first thing, the 424 00:16:16,204 --> 00:16:17,580 lectures, it had to be Bob's, 425 00:16:19,340 --> 00:16:21,899 like, use of props and, like, just funny 426 00:16:21,899 --> 00:16:24,220 intros. That's always great. I remember we had 427 00:16:24,220 --> 00:16:26,139 this amazing skeleton and the spiders. That was 428 00:16:26,139 --> 00:16:26,960 always fun. 429 00:16:27,820 --> 00:16:30,615 But I I suppose I actually enjoyed just 430 00:16:30,695 --> 00:16:32,315 getting more into 431 00:16:32,855 --> 00:16:35,034 the whole, like, making algorithms with 432 00:16:35,575 --> 00:16:36,315 the diagrams. 433 00:16:36,695 --> 00:16:38,054 And I suppose it's just a different way 434 00:16:38,054 --> 00:16:39,014 of thinking because, 435 00:16:39,975 --> 00:16:41,254 I mean, from school, I would never would 436 00:16:41,254 --> 00:16:43,254 have thought of using pictures to do math. 437 00:16:43,254 --> 00:16:45,509 I always would have kept separate ideas. So 438 00:16:45,509 --> 00:16:47,529 I think that in itself was quite interesting. 439 00:16:48,149 --> 00:16:49,830 I see. And and was it fun? Was 440 00:16:49,830 --> 00:16:51,750 it was it a fun thing to do, 441 00:16:51,750 --> 00:16:53,750 or or was it hard work, or was 442 00:16:53,750 --> 00:16:54,809 it a bit of both? 443 00:16:55,269 --> 00:16:56,549 I'd say a bit of both. Like, it 444 00:16:56,549 --> 00:16:57,929 was definitely enjoyable throughout. 445 00:16:59,095 --> 00:17:00,615 It did take some time to get used 446 00:17:00,615 --> 00:17:01,115 to. 447 00:17:02,214 --> 00:17:04,535 Although, interestingly, I feel like these are pictures 448 00:17:04,535 --> 00:17:06,375 that feel quite intuitive because it's something, I 449 00:17:06,375 --> 00:17:07,275 guess, you can 450 00:17:07,815 --> 00:17:09,515 conceptualize a lot of the times. 451 00:17:09,894 --> 00:17:11,515 I did feel like I did have uncertainty 452 00:17:11,654 --> 00:17:12,394 as to whether 453 00:17:12,750 --> 00:17:14,829 what I was doing was actually correct. So 454 00:17:14,829 --> 00:17:17,710 I think, initially, I did struggle with being 455 00:17:17,710 --> 00:17:20,190 confident in my ideas, but it did feel 456 00:17:20,190 --> 00:17:21,650 pretty intuitive, I'd say. 457 00:17:22,109 --> 00:17:24,109 I see. And and did did you have 458 00:17:24,109 --> 00:17:26,930 much contact with with your fellow students? 459 00:17:27,815 --> 00:17:29,815 Did did you get an idea for for 460 00:17:29,815 --> 00:17:32,134 who they were and and and why they 461 00:17:32,134 --> 00:17:32,795 were there? 462 00:17:34,134 --> 00:17:35,015 Partially. I suppose, 463 00:17:35,575 --> 00:17:37,115 mainly contacts was 464 00:17:37,734 --> 00:17:38,474 through tutorials. 465 00:17:40,070 --> 00:17:41,430 And so I guess there was a there 466 00:17:41,430 --> 00:17:42,789 was a range. There were some people who 467 00:17:42,789 --> 00:17:45,029 would love to, like, also speak up and 468 00:17:45,029 --> 00:17:47,109 we can engage, and some who are more 469 00:17:47,109 --> 00:17:47,609 reserved. 470 00:17:49,109 --> 00:17:50,390 I suppose, Bob, do you have something you'd 471 00:17:50,390 --> 00:17:52,970 like to say? Yeah. Bob, go ahead. So 472 00:17:53,134 --> 00:17:54,755 so we had a lot of restrictions 473 00:17:55,055 --> 00:17:57,295 imposed on us because we were doing an 474 00:17:57,295 --> 00:17:59,535 experiment with minors. So one of the things 475 00:17:59,535 --> 00:18:01,215 we wanted to do is a lot more 476 00:18:01,215 --> 00:18:03,615 social media so that students could interact with 477 00:18:03,615 --> 00:18:06,279 each other, but we were told, no. Not 478 00:18:06,279 --> 00:18:08,440 do that. And so it was quite a 479 00:18:08,440 --> 00:18:09,420 bunch of restrictions 480 00:18:10,039 --> 00:18:11,180 that we were imposing 481 00:18:11,640 --> 00:18:13,160 on us to the extent that at some 482 00:18:13,160 --> 00:18:14,680 point, I said, no. We are just gonna 483 00:18:14,680 --> 00:18:16,599 pull it because this is not a normal 484 00:18:16,599 --> 00:18:19,575 teaching experience. And then Alex convinced me to 485 00:18:19,575 --> 00:18:21,974 to keep going because I thought, okay. This 486 00:18:21,974 --> 00:18:23,734 is not gonna work. This the results are 487 00:18:23,734 --> 00:18:25,974 not gonna be good because this is not 488 00:18:25,974 --> 00:18:27,734 a normal I mean, I should say something 489 00:18:27,734 --> 00:18:30,055 else, and I don't want to embarrass Arjan, 490 00:18:30,055 --> 00:18:32,289 but like, most of the students just had 491 00:18:32,289 --> 00:18:33,190 a black screen. 492 00:18:33,970 --> 00:18:36,609 And and they didn't ask questions. They typed 493 00:18:36,609 --> 00:18:38,769 questions. And then I wrote, like, an email, 494 00:18:38,769 --> 00:18:41,409 a long email saying, please, please, show your 495 00:18:41,409 --> 00:18:44,054 screens and speak. Because as a teacher, we 496 00:18:44,054 --> 00:18:45,835 need to see your facial, like, articulations. 497 00:18:46,375 --> 00:18:47,815 We need to hear the tone of your 498 00:18:47,815 --> 00:18:50,394 voice because that's part of a teaching. Teacher 499 00:18:50,535 --> 00:18:53,575 teacher student interaction. And I think for, yeah, 500 00:18:53,575 --> 00:18:56,054 five seconds, some some screens went down, and 501 00:18:56,054 --> 00:18:57,434 then they were back again. 502 00:19:00,029 --> 00:19:01,230 So so it sounds, 503 00:19:01,630 --> 00:19:02,429 Arjun, that, 504 00:19:02,990 --> 00:19:05,250 the the sort of remote nature of it 505 00:19:06,750 --> 00:19:08,509 was a bit difficult. Or or or I 506 00:19:08,509 --> 00:19:11,089 don't know. Maybe maybe you were happy with, 507 00:19:11,390 --> 00:19:13,825 with that. Or is there anything is there 508 00:19:13,825 --> 00:19:16,384 anything else that you'd add, to what Bob 509 00:19:16,384 --> 00:19:18,465 said in terms of how it could have 510 00:19:18,465 --> 00:19:20,164 been improved? I mean, I'm guessing 511 00:19:20,625 --> 00:19:22,164 actually going to Oxford, 512 00:19:22,785 --> 00:19:24,705 if that was possible and and doing it 513 00:19:24,705 --> 00:19:28,065 in person would have been fantastic, but maybe 514 00:19:28,065 --> 00:19:28,805 not possible. 515 00:19:29,720 --> 00:19:30,440 Yes. I think, 516 00:19:30,920 --> 00:19:31,420 overall, 517 00:19:31,960 --> 00:19:34,039 I suppose, just naturally teaching online is a 518 00:19:34,039 --> 00:19:35,660 bit like, it can be quite in person. 519 00:19:36,920 --> 00:19:38,519 And I guess as Bob said, not many 520 00:19:38,519 --> 00:19:40,759 people did always turn on their cameras or 521 00:19:40,759 --> 00:19:41,259 respond. 522 00:19:41,720 --> 00:19:43,522 I just feel bad sometimes for some of 523 00:19:43,522 --> 00:19:45,724 the tutors because we had that awkward silence 524 00:19:45,724 --> 00:19:46,785 for a couple of seconds. 525 00:19:47,404 --> 00:19:47,904 Mhmm. 526 00:19:48,684 --> 00:19:50,365 But, I mean, I I suppose some benefits 527 00:19:50,365 --> 00:19:52,125 was that sometimes I would I would be 528 00:19:52,125 --> 00:19:53,724 able to message my friends and we could, 529 00:19:53,724 --> 00:19:54,224 like, 530 00:19:55,325 --> 00:19:56,625 we could discuss things, 531 00:19:58,204 --> 00:19:59,105 somewhat freely. 532 00:19:59,750 --> 00:20:01,109 But I guess that, that was not to 533 00:20:01,109 --> 00:20:02,309 the benefit of the tutors because they have 534 00:20:02,309 --> 00:20:03,529 no idea what we're discussing. 535 00:20:06,230 --> 00:20:08,309 But yeah. So so I think just the 536 00:20:08,309 --> 00:20:09,910 online like, as you said, being in person 537 00:20:09,910 --> 00:20:10,730 would have been, 538 00:20:11,190 --> 00:20:12,255 perhaps a bit more 539 00:20:13,214 --> 00:20:14,434 invested. But yeah. 540 00:20:15,134 --> 00:20:17,634 And and so what's your view on quantum 541 00:20:17,694 --> 00:20:18,194 physics, 542 00:20:19,454 --> 00:20:21,134 after having taken the course? Are you 543 00:20:21,934 --> 00:20:24,194 I I I understand you you're at university 544 00:20:24,335 --> 00:20:25,075 at the moment. 545 00:20:25,615 --> 00:20:27,720 Are are are you doing physics? Do you 546 00:20:27,799 --> 00:20:30,299 do you plan to pursue a career in 547 00:20:30,519 --> 00:20:32,059 quantum science and technology, 548 00:20:32,359 --> 00:20:34,519 or have you have you put your interest 549 00:20:34,519 --> 00:20:35,500 on the back burner? 550 00:20:36,599 --> 00:20:39,159 I would say yes. I, like so I'm 551 00:20:39,159 --> 00:20:40,220 currently studying mathematics, 552 00:20:41,559 --> 00:20:42,045 but 553 00:20:42,525 --> 00:20:43,965 it was one of my intentions to actually 554 00:20:43,965 --> 00:20:44,465 do, 555 00:20:45,164 --> 00:20:47,244 like, the quantum modules within my second and 556 00:20:47,244 --> 00:20:48,924 third year. So I'm now coming towards the 557 00:20:48,924 --> 00:20:50,125 end of my first year. And, 558 00:20:52,125 --> 00:20:53,805 yes, I thought, and I thought it's one 559 00:20:53,805 --> 00:20:55,404 thing because I do remember speaking to lots 560 00:20:55,404 --> 00:20:57,579 of tutors about, like, as, I guess, Bob 561 00:20:57,579 --> 00:20:59,419 said, like, there's lots of a mat, maths 562 00:20:59,419 --> 00:21:01,759 towards it. And I thought perhaps by doing 563 00:21:01,980 --> 00:21:03,740 just maths, then I would be able to 564 00:21:03,740 --> 00:21:05,359 understand those, like, 565 00:21:06,140 --> 00:21:07,819 I'd be able to read more literature and 566 00:21:07,819 --> 00:21:09,039 perhaps have better understanding. 567 00:21:11,454 --> 00:21:12,654 And so, yes, I mean, 568 00:21:13,375 --> 00:21:15,454 I would say I haven't done much more 569 00:21:15,454 --> 00:21:17,234 in terms of the extracurricular side. 570 00:21:19,694 --> 00:21:21,794 But I think just also seeing the possibilities 571 00:21:22,095 --> 00:21:22,920 throughout the course, 572 00:21:23,960 --> 00:21:25,500 like, just creating algorithms 573 00:21:26,279 --> 00:21:27,799 seemed fascinating to me. 574 00:21:28,440 --> 00:21:29,960 I remember I think they did mention one 575 00:21:29,960 --> 00:21:31,500 about solving prime numbers 576 00:21:31,880 --> 00:21:32,539 or, like, 577 00:21:33,720 --> 00:21:34,220 factors 578 00:21:34,600 --> 00:21:35,500 like prime factorization 579 00:21:35,799 --> 00:21:36,299 using, 580 00:21:36,944 --> 00:21:39,284 like, quantum algorithms, I thought was really cool. 581 00:21:39,505 --> 00:21:42,144 I see. And you as a you you're 582 00:21:42,144 --> 00:21:44,404 doing maths at university, but 583 00:21:44,704 --> 00:21:46,884 it I mean, for maybe for the benefit 584 00:21:46,944 --> 00:21:49,265 of of of high school high schoolers who 585 00:21:49,265 --> 00:21:51,444 are listening and thinking, should I do physics? 586 00:21:51,779 --> 00:21:53,000 Should I do maths? 587 00:21:53,940 --> 00:21:56,119 Do you have the opportunity to do 588 00:21:56,660 --> 00:21:57,160 physics 589 00:21:57,539 --> 00:21:59,720 as a mathematician? You know, for example, 590 00:22:00,100 --> 00:22:00,600 doing, 591 00:22:01,779 --> 00:22:04,039 mechanics and and quantum physics. 592 00:22:05,700 --> 00:22:08,335 If you wish, can you can you study 593 00:22:08,335 --> 00:22:10,194 those things in your course? 594 00:22:11,535 --> 00:22:13,555 I suppose yeah. So currently, 595 00:22:14,734 --> 00:22:16,335 I just wanted to just show some mathematics 596 00:22:16,335 --> 00:22:18,494 I can. I think in the first term 597 00:22:18,734 --> 00:22:19,769 in the first year, 598 00:22:20,330 --> 00:22:21,529 a lot of the content is kind of 599 00:22:21,529 --> 00:22:23,289 pre cited. You get at least at Durham, 600 00:22:23,289 --> 00:22:24,509 we have one optional module. 601 00:22:25,289 --> 00:22:27,210 But then I don't think that goes towards 602 00:22:27,210 --> 00:22:29,369 quantum. It's only as within your second year 603 00:22:29,369 --> 00:22:31,470 where you could start to specialize more towards, 604 00:22:32,890 --> 00:22:34,565 perhaps, like, quantum modules, 605 00:22:34,865 --> 00:22:36,804 mechanical modules, statistics probability. 606 00:22:37,345 --> 00:22:39,825 So I suppose definitely later on. Although, I 607 00:22:39,825 --> 00:22:41,664 do guess there's also the option of natural 608 00:22:41,664 --> 00:22:42,865 sciences in which, 609 00:22:43,585 --> 00:22:45,359 we can choose a combination of 610 00:22:45,679 --> 00:22:47,359 subjects. I like to do maths and physics 611 00:22:47,359 --> 00:22:48,980 as as an option. 612 00:22:49,920 --> 00:22:50,660 I see. 613 00:22:52,000 --> 00:22:54,000 And and what about the future? Do do 614 00:22:54,000 --> 00:22:56,799 do you see a a career in quantum 615 00:22:56,799 --> 00:22:57,859 science and technology 616 00:22:58,734 --> 00:23:00,034 in in your future, 617 00:23:00,494 --> 00:23:02,815 you know, after you've done after you've finished 618 00:23:02,815 --> 00:23:03,554 with university? 619 00:23:04,815 --> 00:23:05,714 I would say 620 00:23:06,095 --> 00:23:07,075 probably, definitely, 621 00:23:07,375 --> 00:23:07,875 yes. 622 00:23:08,494 --> 00:23:09,474 Because I think 623 00:23:10,174 --> 00:23:12,254 the quantum space seems to, like, encapsulate all 624 00:23:12,254 --> 00:23:13,740 of my favorite subjects. Because for instance, for 625 00:23:13,740 --> 00:23:15,900 a levels, I did math both math, physics, 626 00:23:15,900 --> 00:23:17,920 computer science. I guess quantum computing 627 00:23:18,539 --> 00:23:20,079 is, in a way, all of those. 628 00:23:21,180 --> 00:23:21,680 So 629 00:23:22,059 --> 00:23:22,640 I think 630 00:23:23,099 --> 00:23:23,920 also perhaps 631 00:23:24,299 --> 00:23:26,595 because it's so new, I think it's something 632 00:23:26,595 --> 00:23:28,295 that would always keep me interested. 633 00:23:28,674 --> 00:23:29,795 So I think something I would always be 634 00:23:29,795 --> 00:23:31,015 enjoyed and pretend doing 635 00:23:31,554 --> 00:23:32,054 regardless. 636 00:23:33,554 --> 00:23:35,795 I see. Good good stuff. And, 637 00:23:36,275 --> 00:23:38,755 I mean, obviously, the the summer course has 638 00:23:38,755 --> 00:23:39,255 been, 639 00:23:40,589 --> 00:23:43,869 well, Arjun has you've really enjoyed it, and 640 00:23:43,869 --> 00:23:46,509 it's encouraged you to to look at quantum 641 00:23:46,509 --> 00:23:47,490 science and technology 642 00:23:48,190 --> 00:23:50,349 as a career. But but, Alex, I understand 643 00:23:50,349 --> 00:23:52,750 that it's it's not just Arjun who's who 644 00:23:52,750 --> 00:23:53,809 did very well. 645 00:23:55,845 --> 00:23:58,325 You you you had, you had the students 646 00:23:58,325 --> 00:24:00,424 sit a university level exam 647 00:24:00,884 --> 00:24:02,884 on quantum physics at the end of the 648 00:24:02,884 --> 00:24:03,605 course, and, 649 00:24:04,164 --> 00:24:06,404 I think you were extremely pleased with the 650 00:24:06,404 --> 00:24:08,184 outcome. What what happened, Alex? 651 00:24:08,710 --> 00:24:10,470 Yeah. That's right. So so at the end, 652 00:24:10,470 --> 00:24:12,890 we gave them an exam which had all, 653 00:24:13,509 --> 00:24:14,009 previous, 654 00:24:15,110 --> 00:24:17,269 exam questions that that Bob or I have 655 00:24:17,269 --> 00:24:20,230 given on an exam to master students in 656 00:24:20,230 --> 00:24:22,304 in past years. So we just sort of 657 00:24:22,304 --> 00:24:23,204 put that together, 658 00:24:23,585 --> 00:24:25,845 adapted a little bit to match the terminology 659 00:24:25,904 --> 00:24:27,684 of the course, and just gave that exam, 660 00:24:28,384 --> 00:24:29,605 really having no idea, 661 00:24:30,144 --> 00:24:32,144 what we're what we're gonna get back from 662 00:24:32,144 --> 00:24:32,644 this. 663 00:24:33,505 --> 00:24:34,005 And 664 00:24:34,309 --> 00:24:35,750 we're pleased to see that most of the 665 00:24:35,750 --> 00:24:37,210 students passed and, 666 00:24:38,470 --> 00:24:40,329 something like forty percent, 667 00:24:40,869 --> 00:24:44,089 or, yeah, around around that actually got distinctions 668 00:24:44,150 --> 00:24:46,250 or or first class marks and things. 669 00:24:47,429 --> 00:24:49,369 So so, yeah, that was really great. 670 00:24:50,265 --> 00:24:51,884 And one of the things I noticed 671 00:24:52,265 --> 00:24:54,664 kind of qualitatively when marking the exam is 672 00:24:54,664 --> 00:24:56,205 that some of the students understood 673 00:24:57,065 --> 00:24:58,445 certain concepts and 674 00:24:58,825 --> 00:24:59,884 possibly even 675 00:25:00,184 --> 00:25:02,125 even in a better way than I see, 676 00:25:02,505 --> 00:25:03,805 with the graduate students. 677 00:25:05,250 --> 00:25:07,490 So so really an example of that is 678 00:25:07,490 --> 00:25:09,269 this idea of nondeterminism, 679 00:25:10,610 --> 00:25:12,610 in quantum theory. So for instance, I do 680 00:25:12,610 --> 00:25:15,110 a I do a quantum measurement. It collapses 681 00:25:15,250 --> 00:25:16,850 my state, and I I don't get to 682 00:25:16,850 --> 00:25:17,350 control 683 00:25:17,984 --> 00:25:20,464 what state it collapses to. Right? So the 684 00:25:20,464 --> 00:25:22,704 quantum theory has this idea of this kind 685 00:25:22,704 --> 00:25:23,525 of irreducible 686 00:25:24,305 --> 00:25:24,805 nondeterminism, 687 00:25:26,305 --> 00:25:27,605 and quantum computing 688 00:25:27,984 --> 00:25:30,224 really uses this in in the way that 689 00:25:30,224 --> 00:25:31,825 it designs some things. Right? I do a 690 00:25:31,825 --> 00:25:33,919 measurement. This has some sort of action, 691 00:25:34,539 --> 00:25:36,059 and I have to account for that in 692 00:25:36,059 --> 00:25:37,039 a certain way. 693 00:25:37,899 --> 00:25:39,419 And I saw in the way that that 694 00:25:39,419 --> 00:25:41,500 many of the students answered these questions that 695 00:25:41,500 --> 00:25:43,419 they that I think they understood that in 696 00:25:43,419 --> 00:25:44,240 a way that 697 00:25:44,619 --> 00:25:47,099 that was sort of more fundamental, I would 698 00:25:47,099 --> 00:25:48,399 say, than than 699 00:25:48,715 --> 00:25:51,295 than than some university level students. 700 00:25:51,835 --> 00:25:54,154 That that could be that they they aren't 701 00:25:54,154 --> 00:25:56,654 as accustomed to a more traditional or 702 00:25:56,955 --> 00:25:57,455 classical 703 00:25:57,835 --> 00:26:00,154 way of thinking already that a computer scientist 704 00:26:00,154 --> 00:26:02,494 or physicist would get in in in university. 705 00:26:04,279 --> 00:26:06,519 And, Arjun, did you enjoy doing the exam? 706 00:26:06,519 --> 00:26:08,619 I mean, maybe enjoy is the wrong word. 707 00:26:08,679 --> 00:26:09,000 But, 708 00:26:10,359 --> 00:26:12,359 did did you, did did you find it 709 00:26:12,440 --> 00:26:13,799 was it a nice way to end the 710 00:26:13,799 --> 00:26:14,299 course? 711 00:26:15,079 --> 00:26:17,525 I think so. I mean, I'm very reluctant 712 00:26:17,525 --> 00:26:19,125 to say I enjoyed an exam, but, 713 00:26:20,244 --> 00:26:21,704 it was definitely nice to have, 714 00:26:22,005 --> 00:26:23,765 I guess, more like, because I think one 715 00:26:23,765 --> 00:26:25,365 of the things is, actually doing lots of 716 00:26:25,365 --> 00:26:27,044 questions were really interesting because it was a 717 00:26:27,044 --> 00:26:28,884 way to practice and actually apply what we 718 00:26:28,884 --> 00:26:29,544 had learned. 719 00:26:30,019 --> 00:26:30,519 And, 720 00:26:30,819 --> 00:26:31,880 I guess the exam 721 00:26:32,579 --> 00:26:34,519 was definitely a nice way of doing it. 722 00:26:35,940 --> 00:26:37,799 And, gosh, I'm trying to remember exactly. 723 00:26:38,259 --> 00:26:39,720 It's been a while. But 724 00:26:40,980 --> 00:26:41,720 I think, 725 00:26:42,734 --> 00:26:43,795 I I mean, I remember 726 00:26:44,255 --> 00:26:45,954 slightly struggling with it initially, 727 00:26:46,414 --> 00:26:47,535 because it was once again, it was one 728 00:26:47,535 --> 00:26:49,954 of those things which is uncertainty. Like, how 729 00:26:50,255 --> 00:26:52,255 how right is my answer? How correct is 730 00:26:52,255 --> 00:26:53,134 it? But, 731 00:26:53,615 --> 00:26:54,515 no. It was definitely, 732 00:26:55,214 --> 00:26:56,160 interesting and 733 00:26:56,960 --> 00:26:57,460 enjoyable. 734 00:26:59,200 --> 00:27:00,099 Oh, that's great. 735 00:27:00,640 --> 00:27:01,140 And, 736 00:27:02,320 --> 00:27:03,059 and, Bob, 737 00:27:04,000 --> 00:27:04,820 final question, 738 00:27:05,200 --> 00:27:05,940 for you. 739 00:27:06,480 --> 00:27:08,559 Do you think that a version of the 740 00:27:08,559 --> 00:27:11,140 summer course could be integrated into 741 00:27:11,575 --> 00:27:13,674 a high school physics curriculum. 742 00:27:14,215 --> 00:27:16,535 And may maybe that's something that that you 743 00:27:16,535 --> 00:27:18,634 and Alex and your colleagues are working 744 00:27:18,934 --> 00:27:21,255 towards now. Is is that something that we 745 00:27:21,255 --> 00:27:21,994 could see? 746 00:27:22,934 --> 00:27:24,634 It is already happening, actually. 747 00:27:25,140 --> 00:27:25,619 Like, 748 00:27:26,099 --> 00:27:26,599 Greece 749 00:27:26,900 --> 00:27:29,720 was the first country to basically start using, 750 00:27:30,740 --> 00:27:32,599 this this language methodology 751 00:27:32,980 --> 00:27:34,119 at high school level. 752 00:27:34,500 --> 00:27:36,500 So that there is a translation out now, 753 00:27:36,500 --> 00:27:38,759 which was really pushed by by the the 754 00:27:39,964 --> 00:27:40,704 the mathematics 755 00:27:41,005 --> 00:27:42,065 sort of teaching 756 00:27:42,525 --> 00:27:43,984 council in Greece. 757 00:27:44,285 --> 00:27:46,125 So, I mean I mean, it's probably not 758 00:27:46,125 --> 00:27:48,144 an accident that it's Greek because 759 00:27:48,605 --> 00:27:50,384 as I was hinting at earlier, 760 00:27:51,404 --> 00:27:53,805 this language is not something you contrast with 761 00:27:53,805 --> 00:27:57,069 classical physics. I think this language basically goes 762 00:27:57,069 --> 00:28:00,669 back to before 2,400 763 00:28:00,669 --> 00:28:02,529 of western scientific tradition 764 00:28:02,990 --> 00:28:05,009 to the pre Socratics in Greece. 765 00:28:06,029 --> 00:28:09,329 Because that's the moment when western science decided 766 00:28:09,390 --> 00:28:10,450 to become mainly 767 00:28:10,974 --> 00:28:11,954 it, reductionist 768 00:28:12,255 --> 00:28:13,234 following Democritus 769 00:28:13,855 --> 00:28:16,835 and having quite a static kinematic based view 770 00:28:16,894 --> 00:28:18,434 following a guy called Parmenides. 771 00:28:18,894 --> 00:28:20,494 On the other hand, you've got people like 772 00:28:20,494 --> 00:28:22,654 Heraclitus who had, like, a process based view 773 00:28:22,654 --> 00:28:23,315 on reality, 774 00:28:23,789 --> 00:28:26,190 Leibniz who has, like, an interactive relational view 775 00:28:26,190 --> 00:28:28,289 on reality. And these pictures, without 776 00:28:28,590 --> 00:28:30,990 people probably realizing it, they are much an 777 00:28:30,990 --> 00:28:33,630 embracement of a post process based view and 778 00:28:33,630 --> 00:28:37,484 an interactive view. And, so so so something 779 00:28:37,484 --> 00:28:40,284 Alex was hinting out, about, like, they didn't 780 00:28:40,365 --> 00:28:42,684 the people maybe not have been much as 781 00:28:42,684 --> 00:28:43,585 much as subjected 782 00:28:44,125 --> 00:28:46,365 to, like, western thinking may actually be an 783 00:28:46,365 --> 00:28:48,204 advantage. We kind of saw that the 15 784 00:28:48,204 --> 00:28:49,884 year olds were doing better than the 17 785 00:28:49,884 --> 00:28:52,099 year olds, which kind of proved that point 786 00:28:52,099 --> 00:28:53,720 that the less you've learned, 787 00:28:54,419 --> 00:28:55,799 the less you have to unlearn. 788 00:28:56,500 --> 00:28:58,419 And that's in particular why I think it's 789 00:28:58,419 --> 00:29:00,839 really important to start this stuff very early. 790 00:29:01,059 --> 00:29:01,559 And, 791 00:29:02,259 --> 00:29:04,099 I got a few people now working on 792 00:29:04,099 --> 00:29:06,015 this. Like, we're we're we're talking to many, 793 00:29:06,015 --> 00:29:08,575 many places in the world, like, where they 794 00:29:08,575 --> 00:29:09,555 want to start 795 00:29:10,255 --> 00:29:11,934 this in a pro so one country is, 796 00:29:11,934 --> 00:29:14,755 like, wanting to do high school, teaching 797 00:29:15,615 --> 00:29:16,994 using this is Ghana, 798 00:29:17,970 --> 00:29:20,470 for example. So and, we we also have 799 00:29:20,609 --> 00:29:23,109 a collaboration which is now now funded with 800 00:29:23,329 --> 00:29:23,829 Colorado 801 00:29:24,130 --> 00:29:25,589 Colorado state schools. 802 00:29:25,970 --> 00:29:28,869 So several places in the world are starting 803 00:29:28,929 --> 00:29:29,429 to, 804 00:29:30,704 --> 00:29:32,565 have we we we are doing an Ukrainian 805 00:29:32,625 --> 00:29:35,125 translation, by the way, too, on the initiative 806 00:29:35,744 --> 00:29:36,484 from Ukraine 807 00:29:37,424 --> 00:29:39,265 of of the book. So lots of places 808 00:29:39,265 --> 00:29:42,005 are now starting to want to integrate this, 809 00:29:42,340 --> 00:29:44,340 But it it's all quite recent. You know? 810 00:29:44,340 --> 00:29:46,660 So it's a very ongoing process, and I 811 00:29:46,660 --> 00:29:49,059 expect if we speak in a year about 812 00:29:49,059 --> 00:29:52,200 this, their story will be much more advanced 813 00:29:52,420 --> 00:29:55,434 and much more, yeah, broader in where and 814 00:29:55,434 --> 00:29:57,914 when this stuff is being, integrated in high 815 00:29:57,914 --> 00:29:59,994 school curriculum. But it should be. It should 816 00:29:59,994 --> 00:30:02,154 happen. It's not just about quantum. It's about 817 00:30:02,154 --> 00:30:04,174 a changing world view to a more relational 818 00:30:04,715 --> 00:30:06,015 and process kind of 819 00:30:06,475 --> 00:30:09,250 way of thinking, which which also makes the 820 00:30:09,250 --> 00:30:11,349 the sciences and humanities a little bit closer. 821 00:30:11,809 --> 00:30:13,890 I see. And and what about you, Arjun? 822 00:30:13,890 --> 00:30:15,890 I mean, you're out of all of us, 823 00:30:15,890 --> 00:30:18,529 you're the closest to to having been in 824 00:30:18,529 --> 00:30:19,269 high school. 825 00:30:20,529 --> 00:30:22,210 Do I mean, do you would you have 826 00:30:22,210 --> 00:30:22,710 enjoyed, 827 00:30:24,095 --> 00:30:25,154 seeing this material, 828 00:30:25,855 --> 00:30:27,394 you know, when you're doing your 829 00:30:28,255 --> 00:30:29,955 physics a level or 830 00:30:30,494 --> 00:30:32,434 a mathematics a level or even, 831 00:30:33,215 --> 00:30:34,355 at a lower level, 832 00:30:35,055 --> 00:30:36,654 at a younger age in high school? Do 833 00:30:36,654 --> 00:30:38,335 you think it would be it would be 834 00:30:38,335 --> 00:30:39,154 very useful? 835 00:30:40,710 --> 00:30:42,470 I'd yeah. I definitely think so, 836 00:30:42,950 --> 00:30:43,450 because 837 00:30:44,789 --> 00:30:46,329 I think it's something that could, 838 00:30:47,430 --> 00:30:49,269 it could be like a nice way to 839 00:30:49,269 --> 00:30:50,950 kind of unite, I guess, physics and computer 840 00:30:50,950 --> 00:30:52,970 science. So for physicists and computer science students, 841 00:30:53,509 --> 00:30:55,934 it, I mean, perhaps creating some algorithms where 842 00:30:55,934 --> 00:30:57,234 they're, like, perhaps more 843 00:30:58,734 --> 00:31:01,134 simplistic, could be nice. And then also, I 844 00:31:01,134 --> 00:31:01,775 suppose that, 845 00:31:02,734 --> 00:31:04,674 it would probably make people more aware, 846 00:31:05,775 --> 00:31:07,455 of just, like, a small if I call 847 00:31:07,455 --> 00:31:08,670 it physics, I guess, by 848 00:31:09,710 --> 00:31:10,109 just, 849 00:31:10,590 --> 00:31:11,650 giving more exposure. 850 00:31:14,269 --> 00:31:16,509 And so, yeah, I think it definitely would 851 00:31:16,509 --> 00:31:17,330 have been nice. 852 00:31:17,789 --> 00:31:18,690 And I think also, 853 00:31:19,150 --> 00:31:21,765 as both Alex and Bob Sway were saying, 854 00:31:23,304 --> 00:31:25,825 by at that point, we've learned less classical 855 00:31:25,825 --> 00:31:26,644 way of thinking, 856 00:31:27,424 --> 00:31:29,525 for math and physics. So it would be 857 00:31:29,904 --> 00:31:31,444 it would make that easier more intuitive. 858 00:31:32,224 --> 00:31:34,460 I see. And and maybe I'll I'll throw 859 00:31:34,460 --> 00:31:35,759 this out to to Alex, 860 00:31:36,139 --> 00:31:36,639 first. 861 00:31:37,579 --> 00:31:39,679 What about even younger children 862 00:31:40,859 --> 00:31:41,359 and, 863 00:31:41,740 --> 00:31:44,220 you know, people who have done finished their 864 00:31:44,220 --> 00:31:44,720 schooling? 865 00:31:45,115 --> 00:31:47,755 You know, I'm thinking of primary aid primary 866 00:31:47,755 --> 00:31:48,894 school age children 867 00:31:49,674 --> 00:31:50,174 and, 868 00:31:50,954 --> 00:31:53,914 just just the interested public. I mean, is 869 00:31:53,914 --> 00:31:56,494 there a is there an argument for introducing 870 00:31:56,714 --> 00:31:58,654 or coming up with ways of introducing 871 00:31:59,019 --> 00:31:59,839 quantum physics, 872 00:32:00,779 --> 00:32:02,319 to to those groups of people. 873 00:32:03,420 --> 00:32:05,119 Yeah. I think I think so. 874 00:32:05,420 --> 00:32:06,059 I mean, the, 875 00:32:07,579 --> 00:32:10,140 the original paper of Bob's that kind of 876 00:32:10,140 --> 00:32:13,200 kicked off this education idea was titled kindergarten 877 00:32:13,339 --> 00:32:14,240 quantum mechanics, 878 00:32:14,994 --> 00:32:16,595 which I think was a bit of a 879 00:32:16,595 --> 00:32:18,355 tongue in cheek title that, you know, we 880 00:32:18,355 --> 00:32:21,234 could teach quantum mechanics to kindergartners. But, I 881 00:32:21,234 --> 00:32:22,835 mean, I think it it'd be interesting to 882 00:32:22,835 --> 00:32:24,674 see just how far we can we can 883 00:32:24,674 --> 00:32:26,934 push this. And I I think for instance, 884 00:32:27,500 --> 00:32:30,139 you know, I know anecdotally cases of 12, 885 00:32:30,139 --> 00:32:32,960 13 year olds reading reading Bob and Stefano's 886 00:32:33,019 --> 00:32:34,799 book and getting a lot out of it. 887 00:32:35,500 --> 00:32:37,980 So thinking about different different levels to pitch 888 00:32:37,980 --> 00:32:40,934 that at and also also having more materials 889 00:32:40,934 --> 00:32:42,615 that, you know, you can just share with 890 00:32:42,615 --> 00:32:44,375 your friends. Like, so for instance, if people 891 00:32:44,375 --> 00:32:46,855 are interested in pop science, but they don't 892 00:32:46,855 --> 00:32:49,654 have a mathematical background, they can sort of 893 00:32:49,815 --> 00:32:51,174 this kind of stuff, you can get your 894 00:32:51,174 --> 00:32:52,694 teeth into in a way that you can't, 895 00:32:53,429 --> 00:32:55,429 with a pop science book because here, you 896 00:32:55,429 --> 00:32:56,710 know, we give you something, and you can 897 00:32:56,710 --> 00:32:58,629 really do some calculations. You can see what 898 00:32:58,629 --> 00:33:00,730 quantum theory is gonna tell you will happen. 899 00:33:01,589 --> 00:33:03,269 And I think that could be really appealing 900 00:33:03,269 --> 00:33:04,250 to a lot of people. 901 00:33:04,950 --> 00:33:05,450 Okay. 902 00:33:05,804 --> 00:33:08,924 Well, that's great, guys. Bob, Alex, and Arjun, 903 00:33:08,924 --> 00:33:10,304 thanks so much for, 904 00:33:10,605 --> 00:33:11,904 speaking to me. Arjun, 905 00:33:12,924 --> 00:33:14,944 best of luck with your career 906 00:33:15,565 --> 00:33:17,345 in mathematics and hopefully, 907 00:33:17,724 --> 00:33:19,264 quantum science and technology. 908 00:33:20,009 --> 00:33:20,410 And, 909 00:33:20,809 --> 00:33:21,309 Bob, 910 00:33:21,690 --> 00:33:24,910 hope everything's going well at Quantinium. And, Alex, 911 00:33:25,769 --> 00:33:28,009 best wishes at Oxford. And thanks so much 912 00:33:28,009 --> 00:33:29,450 to all of you for coming on the 913 00:33:29,450 --> 00:33:29,950 podcast. 914 00:33:30,330 --> 00:33:32,170 Alright. Thanks, Hamish. Thank you. Thank you. It 915 00:33:32,170 --> 00:33:33,464 was a pleasure to speak to you. 916 00:33:40,744 --> 00:33:42,505 I'm afraid that's all the time we have 917 00:33:42,505 --> 00:33:43,724 for this week's podcast. 918 00:33:44,105 --> 00:33:47,704 Thanks to Bob, Arjun, and Alex for joining 919 00:33:47,704 --> 00:33:50,160 me today, and a special thanks to our 920 00:33:50,160 --> 00:33:51,539 producer Fred Isles. 921 00:33:52,319 --> 00:33:55,220 I'll put links to Bob and Alex's books 922 00:33:55,359 --> 00:33:57,059 in the notes for this episode. 923 00:33:58,160 --> 00:34:00,400 We'll be back again next week, but in 924 00:34:00,400 --> 00:34:03,059 the meantime, do check out the latest episode 925 00:34:03,200 --> 00:34:05,755 of the Physics World Stories podcast, 926 00:34:06,294 --> 00:34:09,434 which features an interview with Linda Williams, 927 00:34:10,054 --> 00:34:10,554 physicist, 928 00:34:10,934 --> 00:34:11,434 performer, 929 00:34:11,815 --> 00:34:12,954 and self styled 930 00:34:13,494 --> 00:34:14,554 physics Chantouse. 931 00:34:15,494 --> 00:34:18,534 She tells host Andrew Glester about her latest 932 00:34:18,534 --> 00:34:20,210 show called Atomic 933 00:34:20,829 --> 00:34:21,329 Cabaret, 934 00:34:21,789 --> 00:34:24,609 and they chat about how she combines science 935 00:34:24,829 --> 00:34:25,650 with music, 936 00:34:26,030 --> 00:34:28,130 satire, and performance art. 937 00:34:28,590 --> 00:34:31,809 That episode is called the Physics Chantouse, 938 00:34:32,349 --> 00:34:35,304 when science hits a high note, and you 939 00:34:35,304 --> 00:34:37,644 can find it on the Physics World website 940 00:34:37,945 --> 00:34:41,005 or at your favorite podcast provider.