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Large sets of mutually orthogonal quantum Latin squares
Simeon Ball, Robin Simoens·July 14, 2026
math.COQuantum Physics
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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.