dorsal/arxiv
View SchemaMean king's problem with mutually unbiased bases and orthogonal Latin squares
| Authors | A. Hayashi, M. Horibe, T. Hashimoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502092 |
| URL | https://arxiv.org/abs/quant-ph/0502092 |
| DOI | 10.1103/PhysRevA.71.052331 |
| Journal | Phys. Rev. A71, 052331 (2005) |
Abstract
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.
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"abstract": "The mean king\u0027s problem with maximal mutually unbiased bases (MUB\u0027s) in\ngeneral dimension d is investigated. It is shown that a solution of the problem\nexists if and only if the maximal number (d+1) of orthogonal Latin squares\nexists. This implies that there is no solution in d=6 or d=10 dimensions even\nif the maximal number of MUB\u0027s exists in these dimensions.",
"arxiv_id": "quant-ph/0502092",
"authors": [
"A. Hayashi",
"M. Horibe",
"T. Hashimoto"
],
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"doi": "10.1103/PhysRevA.71.052331",
"journal_ref": "Phys. Rev. A71, 052331 (2005)",
"title": "Mean king\u0027s problem with mutually unbiased bases and orthogonal Latin squares",
"url": "https://arxiv.org/abs/quant-ph/0502092"
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