摘要： 针对dd两体系统中正交态的区分问题,利用判断其对应的正交补空间的维数,进而判断正交补空间是否包含一个最大交换子空间,基于单向LOCC,提出一种新的态区分算法。对于44上的广义正交Bell态,通过系统研究其单向可区分性,给出其可单向区分的快速算法。实验结果表明,dd上的区分算法适用于任何正交两体态的区分,比起该算法,44上快速算法的复杂度更小。

关键词: 谱分解, 局域区分, 正交两体态, 纠缠态, 特征向量

Abstract: In the topic of distinguishment of orthogonal states in dd bipartite system,with the way of judging dimension of there corresponding orthogonal complement,and then determine whether the orthogonal complement space contains a maximally Abelian subspace,at last propose a new algorithm to distinguish states based on one-way LOCC.For generalized orthogonal Bell states in 44 bipartite system,by studying their distinguishment,this paper propose a faster algorithm based on one way LOCC.Experimental results show that the algorithm in ddbipartite system can be applies in distinguishing any orthogonal bipartite states.What’s more,the algorithm in 44 bipartite system is less complicated.

Key words: spectral decomposition, local distinguish, orthogonal bipartite states, entanglement, feature vector

中图分类号: 

• TP309