Category Archives: Uncategorised

Yesterday will be remembered as the day mathematics died. OpenAI posted the solution on hundreds of mathematical problems on a github repository, all generated by ChatGPT. Some have been formalized, some not, and the pdfs are uniformly unreadable, as except … Continue reading →

The tragedy of the commons is a well-known concept in economics: selfish action by many individuals destroy a common resource, to the detriment of all that used it. Even if each individual is aware of the destruction they have no … Continue reading →

It happened again. In today’s arXiv Jef Pauwels claims the solution of the I3322 problem: namely that the maximal violation of the I3322 inequality cannot be reached with finite-dimensional strategies, and indeed it is the limit of the Pál-Vértesi strategy. … Continue reading →

This week an amazing result has been announced on the arXiv: a proof that the NPA hierarchy does not converge exactly at a finite level even in the CHSH scenario. This is something that I tried to prove myself but … Continue reading →

I’ve just read this essay by the famous mathematician Terence Tao together with an artist about the use of AI in mathematics. It’s well worth a read and very well-written. It focuses more on familiar territory of the problems caused … Continue reading →

The open access movement has taken over the world. Now pretty much every grant you get comes with an open access mandate, a requirement to publish the resulting papers in an openly accessible manner. It has also captured the public’s … Continue reading →

A friend of mine, Miguel Navascués, has just started a new science blog, which I’m happy to advertise here: https://sciencecommunicationexplained.blogspot.com/ His inaugural post, written in his signature incendiary style, is about a subject that has personally pissed him off: another … Continue reading →

A couple of years ago I was complaining about the lack of direct support for SDPs with complex numbers, and documenting my efforts to get it working on SeDuMi via YALMIP. That worked, but in the meantime I’ve stopped using … Continue reading →

An old friend of mine, Jacques Pienaar, wrote to me last Friday asking whether this paper by Wang et al. is bullshit, or is he going crazy. Don’t worry, Jacques, you’re fine. The paper is bullshit. It claims to experimentally … Continue reading →

If you have used the NPA hierarchy to bound a Tsirelson bound, and want to recover a state and projectors that reproduce the computed expectation values, life is easy. The authors provide a practical method to do so, just compute … Continue reading →