Linear dependencies in Weyl-Heisenberg orbits

DOI10.1007/s11128-013-0609-6zbMath1297.81009arXiv1211.0215OpenAlexW3099338996WikidataQ62561505 ScholiaQ62561505MaRDI QIDQ2436434

Hoan Bui Dang, D. M. Appleby, Ingemar Bengtsson, Kate Blanchfield

Publication date: 25 February 2014

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0215

zbMATH Keywords

elliptic curvesWeyl-Heisenberg grouplinear dependenciesHesse configurationsymmetric informationally complete POV measures

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Elliptic curves (14H52) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

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Super-symmetric informationally complete measurements ⋮ Equiangular tight frames that contain regular simplices ⋮ Surveying points in the complex projective plane ⋮ Star DGT: a robust Gabor transform for speech denoising ⋮ Optimal arrangements of classical and quantum states with limited purity ⋮ Spark deficient Gabor frames ⋮ Discrimination of POVMs with rank-one effects ⋮ Dimension towers of SICs. I. Aligned SICs and embedded tight frames ⋮ SIC-POVMs and compatibility among quantum states ⋮ A note on Gabor frames in finite dimensions ⋮ Mini-workshop: Algebraic, geometric, and combinatorial methods in frame theory. Abstracts from the mini-workshop held September 30 -- October 6, 2018

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