Unbiased bases (Hadamards) for six-level systems: Four ways from Fourier

DOI10.1063/1.3059166zbMath1189.81013arXiv0810.1761OpenAlexW2050442515MaRDI QIDQ3649934

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Publication date: 7 December 2009

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

Full work available at URL: https://arxiv.org/abs/0810.1761

zbMATH Keywords

quantum theoryHadamard matricesFourier analysisintegrationeigenvalues and eigenfunctions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (10)

The problem of mutually unbiased bases in dimension 6 ⋮ States that “look the same” with respect to every basis in a mutually unbiased set ⋮ \(H_{2}\)-reducible complex Hadamard matrices of order 6 ⋮ Three-parameter complex Hadamard matrices of order 6 ⋮ Families of complex Hadamard matrices ⋮ Defect of a Kronecker product of unitary matrices ⋮ A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids ⋮ ON MUTUALLY UNBIASED BASES ⋮ Two-parameter complex Hadamard matrices for N=6 ⋮ An application of positive definite functions to the problem of MUBs

Cites Work

• Fuglede's conjecture is false in 5 and higher dimensions
• Some results on the parametrization of complex Hadamard matrices
• UNITARY OPERATOR BASES
• A Concise Guide to Complex Hadamard Matrices
• Mutually unbiased bases and Hadamard matrices of order six

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