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Constructing Mutually Unbiased Bases from Quantum Latin Squares

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arxiv 1605.08919 v2 pith:6TROHIJN submitted 2016-05-28 quant-ph

Benjamin Musto (University of Oxford) This is my paper · ORCID
classification quant-ph
keywords latinquantumsquaresbasesorthogonalconstructionentangledmaximally
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We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quantum Latin squares to build maximally entangled bases, and show how a pair of mutually unbiased maximally entangled bases can be constructed in square dimension from orthogonal quantum Latin squares. We also compare our construction to an existing construction due to Beth and Wocjan and show that ours is strictly more general.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Group Invariant Quantum Latin Squares

    math.QA 2024-12 accept novelty 8.0 of 10

    (G,G')-invariant quantum Latin squares are classified by trace- and conjugate-transpose-preserving isomorphisms of group algebras, and exist exactly when the groups have matching irreducible-representation degrees.

  2. Mutually Unbiased Bases in Composite Dimensions -- A Review

    quant-ph 2024-10 unverdicted novelty 2.0 of 10

    This review compiles fourteen equivalent formulations of the open existence problem for maximal mutually unbiased bases in composite dimensions and summarizes known analytic, computer-aided and numerical results along...

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