基于逻辑函数的非对称量子码

Asymmetric Quantum Codes Based on Logic Functions

目前,量子纠错码的理论已经被推广到非对称量子码。利用逻辑函数的方法来构造非对称量子码,对于利用确定的逻辑函数构造的非对称量子码,给出非对称量子码的极小距离和逻辑函数APC距离之间的关系。同时也给出一些像[[51,,4/2]]2,[[51,,4/2]]3等非对称量子MDS码作为利用此方法构造的例子。

The theory of quantum error-correcting codes has been extended to asymmetric quantum codes. This paper constructs asymmetric quantum codes using logic functions. For the code con- structed with the given logic function, the relationship between the minimum distance of asymmetric quantum codes and the APC distance of the logic function is discussed. Some examples of asymmetric quantum MDS codes are given, including [[5,1,4/2] ]2 and [[5,1,4/2] ]3.