Discrete phase-space approach to mutually orthogonal Latin squares

@article{Gaeta2014DiscretePA,
  title={Discrete phase-space approach to mutually orthogonal Latin squares},
  author={M. Gaeta and Olivia Di Matteo and A. Klimov and H. Guise},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={435303}
}
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… Expand
1 Citations
Finite Geometries and Mutually Unbiased Bases
Finite geometries, mutually unbiased bases, and weak mutually unbiased bases, are discussed.

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