A gap for the maximum number of mutually unbiased bases
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Publication:2838954
DOI10.1090/S0002-9939-2013-11487-5zbMath1275.15010arXiv0902.0635OpenAlexW2023707592MaRDI QIDQ2838954
Publication date: 4 July 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.0635
mutually unbiased basesorthonormal basesHilbert-Schmidt inner productcomplete collectionmaximal abelian self-adjoint subalgebras (masas)orthogonal subalgebras
Algebraic systems of matrices (15A30) Linear spaces of operators (47L05) Vector spaces, linear dependence, rank, lineability (15A03) Quantum coding (general) (81P70)
Related Items (7)
Bounds on the number of mutually unbiased entangled bases ⋮ Classical information storage in an \(n\)-level quantum system ⋮ Clifford tori and unbiased vectors ⋮ On orthogonal systems of matrix algebras ⋮ Schmidt rank constraints in quantum information theory ⋮ An application of positive definite functions to the problem of MUBs ⋮ Constructions on approximately mutually unbiased bases by Galois rings
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