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combinatorial designs 1latin squares 1mutually orthogonal quantum latin squares 1prime power orders 1quantum combinatorics 1

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quant-ph2026

Thirty-six quantum officers are entangled

Simeon Ball, Robin Simoens

There exist pairs of orthogonal Latin squares of any order n except if n=2 or n=6 [Bose, Shrikhande and Parker, 1960]. In particular, the problem of Euler's thirty-six officers doe…