SICs and Algebraic Number Theory

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Foundations of Physics 47 (8):1042-1059 (2017)
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Abstract

We give an overview of some remarkable connections between symmetric informationally complete measurements 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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10.1007/s10701-017-0090-7

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Citations of this work

SICs: Some Explanations.Ingemar Bengtsson - 2020 - Foundations of Physics 50 (12):1794-1808.

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References found in this work

The Number Behind the Simplest SIC–POVM.Ingemar Bengtsson - 2017 - Foundations of Physics 47 (8):1031-1041.
Sporadic SICs and the Normed Division Algebras.Blake C. Stacey - 2017 - Foundations of Physics 47 (8):1060-1064.

Add more references