A Generalized Geometric Measurement of Quantum Discord: Exact Treatment

A Generalized Geometric Measurement of Quantum Discord: Exact Treatment
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量子不和谐的广义几何测量:精确处理

DOI:
10.1088/0253-6102/65/2/154
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发表时间:
2014-12
影响因子:
3.1
通讯作者:
Yang Gui
Yang Gui
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Cui Hai-Tao;Tian Jun-Long;Yang Gui

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基于Hellinger距离,给出了量子不和谐的几何测度的一种推广。我们的定义具有可计算性和局部测量独立性的优点。此外,它也没有受到最近提出的关于量子不和谐的批评。对于任意能级的二体纯态,可以得到精确的结果,这完全由施密特分解决定。对于二分混合态,在特殊情况下也能得到精确结果。此外,推广到多部的情况是直接的。结果表明,当被测状态在置换或平移下保持不变时,可以精确地计算出它的值。此外,还讨论了Lipkin-Meshkov-Glick模型和迪凯模型的量子相变探测问题。
A generalization of the geometric measure of quantum discord is introduced in this article, based on Hellinger distance. Our definition has virtues of computability and independence of local measurement. In addition it also does not suffer from the recently raised critiques about quantum discord. The exact result can be obtained for bipartite pure states with arbitrary levels, which is completely determined by the Schmidt decomposition. For bipartite mixed states the exact result can also be found for a special case. Furthermore the generalization into multipartite case is direct. It is shown that it can be evaluated exactly when the measured state is invariant under permutation or translation. In addition the detection of quantum phase transition is also discussed for Lipkin-Meshkov-Glick and Dicke model.
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