Tractable measure of nonclassical correlation using density matrix truncations
Tractable measure of nonclassical correlation using density matrix truncations
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DOI：
10.1007/s11128-010-0208-8
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发表时间：
2009-06
影响因子：
2.5
通讯作者：
A. Saitoh;R. Rahimi;M. Nakahara
中科院分区：
文献类型：
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作者：
A. Saitoh;R. Rahimi;M. Nakahara
在非经典关联的奥本海默-霍罗代基范式中，一个二分量子态是（正确地）经典关联的，当且仅当它由一个具有乘积本征基的密度矩阵表示。在此基础上，我们提出了一种非经典相关性的措施，通过使用截断的密度矩阵下降到个人的特征空间。它是可计算的多项式时间内的维度的希尔伯特空间，虽然不完善的检测范围。这与传统上用于范例的措施相反。计算的复杂性和所提出的措施的数学性质进行了详细研究，并讨论了其定义的物理图片。
In the context of the Oppenheim-Horodecki paradigm of nonclassical correlation, a bipartite quantum state is (properly) classically correlated if and only if it is represented by a density matrix having a product eigenbasis. On the basis of this paradigm, we propose a measure of nonclassical correlation by using truncations of a density matrix down to individual eigenspaces. It is computable within polynomial time in the dimension of the Hilbert space albeit imperfect in the detection range. This is in contrast to the measures conventionally used for the paradigm. The computational complexity and mathematical properties of the proposed measure are investigated in detail and the physical picture of its definition is discussed.