SICs and algebraic number theory

DOI10.1007/s10701-017-0090-7zbMath1382.81023arXiv1701.05200OpenAlexW3098961051WikidataQ56625227 ScholiaQ56625227MaRDI QIDQ1698308

Jon Yard, Marcus Appleby, Gary McConnell, Steven T. Flammia

Publication date: 15 February 2018

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05200

zbMATH Keywords

algebraic number theorySIC-POVMsHilbert's 12th problem

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10)

Related Items

SIC-POVMs from Stark units: Prime dimensions n2 + 3 ⋮ SICs: some explanations ⋮ Tight frames, Hadamard matrices and Zauner’s conjecture ⋮ Equioverlapping measurements ⋮ Constructing exact symmetric informationally complete measurements from numerical solutions ⋮ Spark deficient Gabor frames ⋮ Dimension towers of SICs. I. Aligned SICs and embedded tight frames ⋮ Full spark frames in the orbit of a representation ⋮ Aims and scope of the special issue ``Quantum foundations: informational perspective ⋮ Negativity bounds for Weyl-Heisenberg quasiprobability representations ⋮ The number behind the simplest SIC-POVM ⋮ Packings in Real Projective Spaces ⋮ Rényi formulation of uncertainty relations for POVMs assigned to a quantum design

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