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.
CITATION STYLE
Appleby, M., Flammia, S., McConnell, G., & Yard, J. (2017). SICs and Algebraic Number Theory. Foundations of Physics, 47(8), 1042–1059. https://doi.org/10.1007/s10701-017-0090-7
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