On Weyl-Heisenberg orbits of equiangular lines

DOI10.1007/s10801-007-0104-1zbMath1200.05032OpenAlexW2049467095MaRDI QIDQ1016018

Mahdad Khatirinejad

Publication date: 4 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-007-0104-1

zbMATH Keywords

Weyl-Heisenberg groupSIC-POVMcomplex equiangular linesfiducial vector

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Other designs, configurations (05B30) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (10)

SIC-POVMs from Stark units: Prime dimensions n2 + 3 ⋮ Constructions of complex equiangular lines from mutually unbiased bases ⋮ A Simple Construction of Complex Equiangular Lines ⋮ Steiner equiangular tight frames ⋮ The Frame Potential, on Average ⋮ Bounds for codes and designs in complex subspaces ⋮ Maximally equiangular frames and Gauss sums ⋮ Moment Maps and Galois Orbits in Quantum Information Theory ⋮ Symmetric informationally complete positive-operator-valued measures: A new computer study ⋮ The Lie algebraic significance of symmetric informationally complete measurements

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• On SIC-POVMs in prime dimensions
• Symmetric informationally complete–positive operator valued measures and the extended Clifford group
• Tomography of Quantum States in Small Dimensions
• Unknown quantum states: The quantum de Finetti representation
• Symmetric informationally complete quantum measurements

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