Nonclassical correlation in a multipartite quantum system : Two measures and evaluation
Nonclassical correlation in a multipartite quantum system : Two measures and evaluation
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DOI：
10.1103/physreva.77.052101
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发表时间：
2007-03
影响因子：
2.9
通讯作者：
A. Saitoh;R. Rahimi;M. Nakahara
中科院分区：
文献类型：
--
作者：
A. Saitoh;R. Rahimi;M. Nakahara
有一种普遍公认的范式，即由密度矩阵描述的多体量子系统没有乘积本征基，被认为具有非经典关联。支持这一范式，我们定义了两个熵措施的非经典关联的多体量子系统。一个定义为在我们收集特定局部测量结果后联合系统的最小不确定性。另一种定义为取所有局部系统中关于局部系统的约化密度矩阵的特征值的真集合与拟集合之间的最小距离的最大值。后一种措施是基于一个人工游戏，以创建一个本地系统的密度矩阵的特征值的密度矩阵的一个全球系统的特征值的减少模仿特征值。数值计算这些措施的几个例子进行。
There is a commonly recognized paradigm in which a multipartite quantum system described by a density matrix having no product eigenbasis is considered to possess nonclassical correlation. Supporting this paradigm, we define two entropic measures of nonclassical correlation of a multipartite quantum system. One is defined as the minimum uncertainty about a joint system after we collect outcomes of particular local measurements. The other is defined by taking the maximum over all local systems about the minimum distance between a genuine set and a mimic set of eigenvalues of a reduced density matrix of a local system. The latter measure is based on an artificial game to create mimic eigenvalues of a reduced density matrix of a local system from eigenvalues of a density matrix of a global system. Numerical computation of these measures for several examples is performed.