SICs and Algebraic Number Theory
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.
- Publication:
-
Foundations of Physics
- Pub Date:
- August 2017
- DOI:
- 10.1007/s10701-017-0090-7
- arXiv:
- arXiv:1701.05200
- Bibcode:
- 2017FoPh...47.1042A
- Keywords:
-
- SIC-POVMs;
- Algebraic number theory;
- Hilbert's 12th problem;
- Quantum Physics
- E-Print:
- 15 pages, 1 figure, AMS Latex, talk at the conference "Quantum and Beyond", Vaxjo, Sweden, 2016