SICs and Algebraic Number Theory
classification
🪐 quant-ph
keywords
theoryalgebraicnumbersicscompleteconnectionconnectionseither
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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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