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Title: Discrete phase-space approach to mutually orthogonal Latin squares
Author: Gaeta, M.
Di Matteo, O.
Klimov, Andrei B.
De Guise, H.
Issue Date: 2014
Abstract: We show there is a natural connection between Latin squares and commutative sets of monomials defining geometric structures in finite phase-space of prime power dimensions. A complete set of such monomials defines a mutually unbiased basis (MUB) and may be associated with a complete set of mutually orthogonal Latin squares (MOLS). We translate some possible operations on the monomial sets into isomorphisms of Latin squares, and find a general form of permutations that map between Latin squares corresponding to unitarily equivalent mutually unbiased sets. � 2014 IOP Publishing Ltd.
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