SIC POVMs and Clifford groups in prime dimensions

DOI10.1088/1751-8113/43/30/305305zbMath1194.81087arXiv1003.3591OpenAlexW1987576785WikidataQ56059205 ScholiaQ56059205MaRDI QIDQ3581188

Huangjun Zhu

Publication date: 16 August 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3591

zbMATH Keywords

covariant symmetric informationally completeHeisenberg-Weyl (HW) group

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Clifford algebras, spinors (15A66)

Related Items (21)

SICs: some explanations ⋮ Entanglement criterion via general symmetric informationally complete measurement ⋮ Super-symmetric informationally complete measurements ⋮ Equioverlapping measurements ⋮ Surveying points in the complex projective plane ⋮ Generalized polarization measurement and its connection with information energy ⋮ Examples of conditional SIC-POVMs ⋮ Optimality of T-gate for generating magic resource ⋮ Optimal arrangements of classical and quantum states with limited purity ⋮ Stabilizer Rényi entropy on qudits ⋮ Dimension towers of SICs. I. Aligned SICs and embedded tight frames ⋮ Permutation Symmetry Determines the Discrete Wigner Function ⋮ The number behind the simplest SIC-POVM ⋮ SICs and algebraic number theory ⋮ Construction of \(\varepsilon_d\)-ASIC-POVMs via 2-to-1 PN functions and the Li bound ⋮ Linear dependencies in Weyl-Heisenberg orbits ⋮ Quantum contextuality with stabilizer states ⋮ Moment Maps and Galois Orbits in Quantum Information Theory ⋮ Equiangular tight frames and unistochastic matrices ⋮ Detecting magic states via characteristic functions ⋮ Weak measurement of Berry’s phase

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