On the connection between mutually unbiased bases and orthogonal Latin squares

Author(s): T. Paterek, M. Pawlowski, M. Grassl, Č. Brukner

Journal: Physica Scripta

Volume: 2010

Year: 2010

DOI Number: 10.1088/0031-8949/2010/T140/014031

Link: Link to publication

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.

Note: http://arxiv.org/abs/0910.1439

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