Mean king's problem with mutually unbiased bases and orthogonal Latin squares

Journal Article · Sun May 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.052331· OSTI ID:20717742

Hayashi, A; Horibe, M; Hashimoto, T ^[1]

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1. Department of Applied Physics, Fukui University, Fukui 910-8507 (Japan)

The mean king's problem with maximal mutually unbiased bases (MUB's) in general dimension d is investigated. It is shown that a solution of the problem exists if and only if the maximal number (d+1) of orthogonal Latin squares exists. This implies that there is no solution in d=6 or d=10 dimensions even if the maximal number of MUB's exists in these dimensions.

• OSTI ID: 20717742
• Journal Information: Physical Review. A, Vol. 71, Issue 5; Other Information: DOI: 10.1103/PhysRevA.71.052331; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

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