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SICs and Algebraic Number Theory

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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… Click to show full 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.

Keywords: sics algebraic; algebraic number; number theory

Journal Title: Foundations of Physics
Year Published: 2017

Link to full text (if available)


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