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大量相互正交的量子拉丁方

Large sets of mutually orthogonal quantum Latin squares

Simeon Ball, Robin Simoens

arXiv 2607.12933首次发表:更新:

AI 中文总结

研究相互正交的量子拉丁方的规模问题,通过构造非经典集改进了其上下界,证明n阶的n - 2个MOQLS必然是经典的。

AI 中文摘要

一组相互正交的量子拉丁方(MOQLS)能有多大?我们证明,一组n阶的n - 2个MOQLS必然是经典的,并构造了阶为素数幂的大量非经典MOQLS集,改进了先前已知的上下界。

英文摘要

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.

CommentsCorrection of Theorem 6

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