SIC-POVMs and the Stark Conjectures

DOI10.1093/imrn/rnz153zbMath1489.11191arXiv1807.05877OpenAlexW2987601258WikidataQ123350088 ScholiaQ123350088MaRDI QIDQ5021479

Gene S. Kopp

Publication date: 13 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05877

zbMATH Keywords

equiangular complex linesStark conjectures over real quadratic fieldssymmetric informationally complete positive operator-valued measure

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum measurement theory, state operations, state preparations (81P15) Class field theory (11R37) Zeta functions and (L)-functions of number fields (11R42)

Related Items (9)

SIC-POVMs from Stark units: Prime dimensions n2 + 3 ⋮ SICs: some explanations ⋮ Dimension towers of SICS: II. Some constructions ⋮ Tight frames, Hadamard matrices and Zauner’s conjecture ⋮ Equioverlapping measurements ⋮ Infinite families of optimal systems of biangular lines related to representations of \(\mathrm{SL}(2, \mathbb{F}_q)\) ⋮ Equioverlapping measurements in qutrit systems ⋮ Construction of \(\varepsilon_d\)-ASIC-POVMs via 2-to-1 PN functions and the Li bound ⋮ Simplified exact SICS

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