Timothy Trudgian, Andrew Yang and I have just uploaded to the arXiv the paper “New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach“. This paper launches a project envisioned in this previous blog post, in which the (widely dispersed) literature on various exponents in classical analytic number theory, as well […]
Following successful early demonstrations of linking two quantum computing chips, IBM is aiming to break records for the largest quantum computer yet by combining many of them in parallel
An experiment showing that quantum and classical communication can be carried out through the same fibre at the same time may open the door to building a quantum internet with existing infrastructure
Hamilton’s quaternion number system is a non-commutative extension of the complex numbers, consisting of numbers of the form where are real numbers, and are anti-commuting square roots of with , , . While they are non-commutative, they do keep many other properties of the complex numbers: Being non-commutative, the quaternions do not form a field. […]
I’ve just uploaded to the arXiv the paper “On the distribution of eigenvalues of GUE and its minors at fixed index“. This is a somewhat technical paper establishing some estimates regarding one of the most well-studied random matrix models, the Gaussian Unitary Ensemble (GUE), that were not previously in the literature, but which will be […]
This past summer Nordita ran a program on quantum gravity, featuring lectures and panel discussions on various approaches to the subject. Lecture notes from the six mini-courses are now available here. There’s also a long, 39 author document called Visions … Continue reading →
It’s been taking me forever to sort out and write down the details of implications of the proposal described here. While waiting for that to be done, I thought it might be a good idea to write up one piece … Continue reading →