SICs and Algebraic Number Theory
Quantum Physics
2017-07-25 v1
Abstract
We give an overview of some remarkable connections between symmetric informationally complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a connection with Hilbert's 12th problem. The paper is meant to be intelligible to a physicist who has no prior knowledge of either Galois theory or algebraic number theory.
Cite
@article{arxiv.1701.05200,
title = {SICs and Algebraic Number Theory},
author = {Marcus Appleby and Steven Flammia and Gary McConnell and Jon Yard},
journal= {arXiv preprint arXiv:1701.05200},
year = {2017}
}
Comments
15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden, 2016