加强的量子汉明限

Strengthened quantum Hamming bound

通过研究具有相同重量的算子集合的性质,找到了任意维数纯量子稳定子码参数的新的解析上限.与目前所知最优的解析上限——著名的量子汉明限相比,本文提出的码限强于量子汉明限.

By studying sets of operators with constant weight we present for the first time an analytical upper bound on the pure quantum stabilizer codes whose underlying quantum system can be of arbitrary dimension,which outperforms the so far well-known quantum Hamming bound,the optimal analytical upper bound for small code length.