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A collection of pairwise mutually unbiased bases (in short: MUB) in d>1 dimensions may consist of at most d+1 bases.
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Th. Beth and P. Wocjan: New construction of mutually unbiased bases in square dimensions. Quantum Inf. Comput
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H. Ohno, D. Petz and A. Szántó: Quasi-orthogonal subalgebras of 4 × 4 4\times 4 matrices. Linear Alg. Appl
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P. Jaming, M. Matolcsi, P. Móra, F. Szöllősi and M. Weiner: A generalized Pauli problem and an infinite family of MUB-triplets in dimension 6. J. Physics A
2009
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D. Petz, A. Szántó and M. Weiner: Complementarity and the algebraic structure of 4-level quantum systems. J. Infin. Dim. Anal. Quantum Probability and Related Topics
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P. Butterley and W. Hall: Numerical evidence for the maximum number of mutually unbiased bases in dimension six. Phys. Lett. A
2007
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P. O. Boykin, M. Sitharam, P. H. Tiep and P. Wocjan: Mutually unbiased bases and orthogonal decompositions of Lie algebras. Quantum Inf. Comput
2007
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I. Bengtsson, W. Bruzda, Å. Ericsson, J.-A. Larsson, W. Tadej and K. Zyczkowski: Mutually unbiased bases and Hadamard matrices of order six. J. Math. Phys
2007
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Cited in the paper.
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Cited in the paper.
2009
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H. Ohno and D. Petz: Generalizations of Pauli channels. Acta Math. Hungar
2009
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M. Weiner: On orthogonal systems of matrix algebras. Linear Alg. Appl
2010
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