Large sets of mutually orthogonal quantum Latin squares

2026/07/27 by Simeon Ball, Robin Simoens
#math.CO #quant-ph

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Abstract

How large can a set of mutually orthogonal quantum Latin squares (MOQLS) get? We show that a set of n - 2 MOQLS of order n is necessarily classical and construct large non-classical sets of MOQLS of orders that are prime powers, improving both the previously known lower and upper bounds.

Citations

• The existence of non-classical orthogonal quantum Latin squares

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