Block-circulant matrices with circulant blocks, Weil sums, and mutually unbiased bases. II. The prime power case

DOI10.1063/1.3078420zbMath1187.15041arXiv0710.5643OpenAlexW2045131515MaRDI QIDQ3650463

Monique Combescure

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0710.5643

zbMATH Keywords

quantum theoryHadamard matricesinformation theory

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Special matrices (15B99)

Related Items (11)

BCCB complex Hadamard matrices of order 9, and MUBs ⋮ Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination ⋮ Overparameterization and Generalization Error: Weighted Trigonometric Interpolation ⋮ Towards a classification of incomplete Gabor POVMs in ℂ ^d ⋮ Learning circulant sensing kernels ⋮ ON MUTUALLY UNBIASED BASES ⋮ Arithmetic, mutually unbiased bases and complementary observables ⋮ An application of positive definite functions to the problem of MUBs ⋮ Dual bounds for the positive definite functions approach to mutually unbiased bases ⋮ Determinantal Point Processes for Image Processing ⋮ Quantum state discrimination bounds for finite sample size

Cites Work

• A new proof for the existence of mutually unbiased bases
• Some results on the parametrization of complex Hadamard matrices
• A Concise Guide to Complex Hadamard Matrices
• Geometrical approach to the discrete Wigner function in prime power dimensions
• Mutually unbiased bases and Hadamard matrices of order six
• Multicomplementary operators via finite Fourier transform

This page was built for publication: Block-circulant matrices with circulant blocks, Weil sums, and mutually unbiased bases. II. The prime power case