On the connection between mutually unbiased bases and orthogonal Latin squares

Details On the connection between mutually unbiased bases and orthogonal Latin squares On the connection between mutually unbiased bases and orthogonal Latin squares

2009-10-08

arxiv.org/abs/0910.1439v1

Phys. Scr. T140, 014031 (2010)

Physics

Quantum Physics

6 pages, submitted to Proceedings of CEWQO 2009

Scientific paper

10.1088/0031-8949/2010/T140/0140

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 which has been shown to relate the two problems and generates complete sets of MUBs in power-of-prime dimensions and three MUBs 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.

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