Large sets of mutually orthogonal quantum Latin squares
Combinatorics
2026-07-14 v1 Quantum Physics
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.
Cite
@article{arxiv.2607.12933,
title = {Large sets of mutually orthogonal quantum Latin squares},
author = {Simeon Ball and Robin Simoens},
journal= {arXiv preprint arXiv:2607.12933},
year = {2026}
}