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You’ve heard of cryptography. Perhaps quantum cryptography too. Maybe even post-quantum cryptography. But what about *quantum post-quantum cryptography*?! When this came up in conversation with Oxford computer scientist Matthew Gray recently, I’d never heard of it. I wanted to know more, so I invited him for a podcast. Turns out, there’s a whole world of layers to unravel linking quantum and cryptography — or even multiple worlds… In this discussion, we dip into those, and how this all relates to “metacomplexity” problems: the hardness of figuring out the hardness of a problem. This episode will change how you think about quantum computing and cryptography, pushing both to their limits through the lens of fundamental assumptions about computation, quantum physics and reality. Background 00:00 Coming Up 01:35 Intro 02:07 Matthew's journey into quantum 07:40 Quantum computers breaking RSA 11:59 Proving secure cryptography 17:07 Post-quantum cryptography 23:24 Breaking crypto means solving new math The five worlds of complexity vs crypto 26:22 A world with no crypto 29:22 Metacomplexity problems 32:24 (Meta) complexity theory intro 41:14 Worst case vs average difficulty 45:15 Quantum post-quantum crypto 54:20 Quantum cryptography 1:05:37 Quantum post-quantum crypto vs quantum crypto The practicalities of quantum post-quantum crypto 1:09:47 Hardware for quantum post-quantum crypto 1:12:56 Is "learning with errors" secure? Current research & future 1:18:58 How is the field evolving? 1:23:07 Matthew's research 1:28:36 Could post-quantum physics affect crypto? 1:34:34 Should we switch to post-quantum crypto? 1:45:22 Recap 1:49:00 Wrap up & final words 1:51:13 Behind the Scenes If you enjoyed this... ...like, subscribe, comment & share with your friends! If you'd like to support my content, you can buy me a coffee here: https://buymeacoffee.com/mariaviolaris. For larger donations, support via my Fellow profile on the Conjecture Institute website: Profile link - https://www.conjectureinstitute.org/#... Donation link - https://www.every.org/conjecture-inst... All support much appreciated & will help keep my content going and push it to new levels. Podcast Background I'm Maria, I'm a quantum physicist and science communicator. I recently completed my DPhil in the foundations of quantum information at Oxford, and I now work on quantum computing at Oxford Quantum Circuits. I enjoy day-to-day conversations that change my perspective on what our best theories tell us about reality. This podcast aims to share these conversations and up-to-date research insights more widely. ____________________ Matthew Gray's online profiles Personal website: https://www.graytmatter.com/ LinkedIn: / graytmatter Google Scholar: https://scholar.google.com/citations?... Maria Violaris' online profiles Personal website: https://www.mariaviolaris.com Twitter / X: / maria__violaris Bluesky: https://app.bsky.cz/profile/mariaviol... LinkedIn: / maria-violaris Instagram: @maria.violaris Substack: https://mariaviolaris.substack.com Google Scholar: https://scholar.google.com/citations?...