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arXiv quant-ph/0703133quant-ph
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多体量子系统中的非经典关联:两种度量和评价

Nonclassical correlation in a multipartite quantum system: two measures and evaluation

Akira SaiToh, Robabeh Rahimi, Mikio Nakahara

摘要:

有一种普遍公认的范式,其中由没有乘积本征基的密度矩阵描述的多体量子系统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。一个是定义为最小的不确定性后,我们收集特定的本地测量结果的联合系统。另一种定义为取局部系统的约化密度矩阵的特征值的真集与拟集之间的最小距离的最大值。后一种措施是基于一个人工的游戏,以创建一个本地系统的一个减少的密度矩阵从一个全球系统的密度矩阵的特征值的模仿特征值。数值计算这些措施的几个例子进行。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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