A recent paper of Kra, Moreira, Richter, and Robertson established the following theorem, resolving a question of Erdös. Given a discrete amenable group , and a subset of , we define the Banach density of to be the quantity where the supremum is over all Følner sequences of . Given a set in , we […]
Quantum computers are Blue versions of classical computers [1] [2] [3][4] Blue or grey abstract patterns [1] [2][3][4][5][6] A bunch of connectors [1][2] Blurred out chips [1] What goes inside the dilution fridge [1][2][3] Closed dilution fridges [1] Part of a flag [1] A button near the enter key [1] Icy cold really big atoms … Continue reading "Quantum Computers Are…"
The first progress prize competition for the AI Mathematical Olympiad has now launched. (Disclosure: I am on the advisory committee for the prize.) This is a competition in which contestants submit an AI model which, after the submissions deadline on June 27, will be tested (on a fixed computational resource, without internet access) on a […]
Earlier this year, I gave a series of lectures at the Joint Mathematics Meetings at San Francisco. I am uploading here the slides for these talks: I also have written a text version of the first talk, which has been submitted to the Notices of the American Mathematical Society.
A memory device that temporarily saves quantum information could become an important addition to quantum networks because it would allow users to salvage information if it fails to transfer properly
Quantum computing firm D-Wave says its machines are the first to achieve "computational supremacy" by solving a practically useful problem that would otherwise take millions of years on an ordinary supercomputer
This spring I’ve been teaching a course aimed at math graduate students, starting with quantum mechanics and trying to get to an explanation of the Standard Model by the end of the semester. Course notes for the first half of … Continue reading →