Large sets of mutually orthogonal quantum Latin squares

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. --- Source: arXiv:2607.12933v1 - http://arxiv.org/abs/2607.12933v1 PDF: https://arxiv.org/pdf/2607.12933v1 Original Link: http://arxiv.org/abs/2607.12933v1