# SICs and Algebraic Number Theory

@article{Appleby2017SICsAA, title={SICs and Algebraic Number Theory}, author={Marcus Appleby and Steven T. Flammia and Gary McConnell and Jon T. Yard}, journal={Foundations of Physics}, year={2017}, volume={47}, pages={1042-1059} }

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.

## Figures from this paper

## 47 Citations

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