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Shtetl-Optimized » Blog Archive » That IACR preprint

Update (April 19): Apparently a bug has been found, and the author has withdrawn the claim (see the comments). For those who don't yet know from their other social media: a week ago the cryptographer Yilei Chen posted a preprint, eprint.iacr.org/2024/555, claiming to give a polynomial-time quantum algorithm to solve lattice problems. For example, it… ....

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Shtetl-Optimized » Blog Archive » Why are amplitudes complex?

[By prior agreement, this post will be cross-posted on Microsoft's Q# blog, even though it has nothing to do with the Q# programming language.  It does, however, contain many examples that might be fun to implement in Q#!] Why should Nature have been quantum-mechanical?  It's totally unclear what would count as an answer to such… ....

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Shtetl-Optimized » Blog Archive » The 8000th Busy Beaver number eludes ZF set theory: new paper by Adam Yedidia and me

I've supervised a lot of great student projects in my nine years at MIT, but my inner nerdy teenager has never been as personally delighted by a project as it is right now.  Today, I'm proud to announce that Adam Yedidia, a PhD student at MIT (but an MEng student when he did most of this work),… ....

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Shtetl-Optimized » Blog Archive » Doubts about teapot supremacy: my reply to Richard Borcherds


Richard Borcherds is a British mathematician at Berkeley, who won the 1998 Fields Medal for the proof of the monstrous moonshine conjecture among many other contributions. A couple months ago, Borcherds posted on YouTube a
self-described “rant” about quantum computing, which was recently making the rounds on Facebook and which I found highly entertaining.
Borcherds points out that the term “quantum supremacy” means only that quantum computers can outperform existing classical computers on
some benchmark, which can be chosen to show maximum advantage for the quantum computer. He allows that BosonSampling could have some value, for example in calibrating quantum computers or in comparing one quantum computer to another, but he decries the popular conflation of quantum supremacy with the actual construction of a scalable quantum computer able (for example) to run Shor’s algorithm to break RSA. ....

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