Mutually unbiased bases and Hadamard matrices of order six

DOI10.1063/1.2716990zbMath1144.81314arXivquant-ph/0610161OpenAlexW1983735761WikidataQ62561525 ScholiaQ62561525MaRDI QIDQ3529699

Åsa Ericsson, Karol Życzkowski, Wojciech Tadej, Ingemar Bengtsson, Jan-åke Larsson, Wojciech T. Bruzda

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0610161

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Quantum measurement theory, state operations, state preparations (81P15) Matrices of integers (15B36)

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Cites Work

• The limitations of nice mutually unbiased bases
• A faster way to count the solutions of inhomogeneous systems of algebraic equations, with applications to cyclic \(n\)-roots
• There is no generalization of known formulas for mutually unbiased bases
• Some results on the parametrization of complex Hadamard matrices
• A Concise Guide to Complex Hadamard Matrices
• Complex sequences with low periodic correlations (Corresp.)
• Z₄ -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
• Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
• Symmetric informationally complete quantum measurements

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