On the connection between mutually unbiased bases and orthogonal Latin squares
Paterek, T. Pawłowski, M. Grassl, M. Brukner, Č.
Pawłowski, M.
Brukner, Č.
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Abstract
We offer a piece of evidence that the problems of finding the number of mutually unbiased bases (MUB) and mutually orthogonal Latin squares (MOLS) might not be equivalent. We study a particular procedure that has been shown to relate the two problems and generates complete sets of MUB in power-of-prime dimensions and three MUB in dimension six. For these cases, every square from an augmented set of MOLS has a corresponding MUB. We show that this no longer holds for certain composite dimensions. © 2010 The Royal Swedish Academy of Sciences.
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Source Title
Physica Scripta T
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Date
2010
DOI
10.1088/0031-8949/2010/T140/014031
Type
Conference Paper