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arXiv · 1701.05200

SICs and Algebraic Number Theory

Marcus Appleby·Steven Flammia·Gary McConnell·Jon Yard
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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.

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Marcus Appleby, Steven Flammia, Gary McConnell, Jon Yard. 2017-01-18. SICs and Algebraic Number Theory. https://doi.org/10.1007/s10701-017-0090-7

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