Monogamy properties of quantum and classical correlations
Monogamy properties of quantum and classical correlations
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DOI：
10.1103/physreva.84.054301
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发表时间：
2011-09
影响因子：
2.9
通讯作者：
G. Giorgi
中科院分区：
文献类型：
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作者：
G. Giorgi
与纠缠相反，量子不和谐一般不具有一夫一妻制的性质;也就是说，在一对子系统共享的量子不和谐和它们都可以与第三方共享的量子不和谐之间没有权衡。在这里，我们表明，只要考虑一夫一妻制，纯态的量子不和谐是等价的纠缠的形成。这个结果允许人们分析地证明，属于W态子类的纯三量子比特态都不是一夫一妻制的。对作为一夫一妻制的全信息量词的相关信息的意义也给出了一个合适的物理解释。最后，我们证明了，对于秩2的两个量子比特的状态，不和谐和经典的相关是有界的单量子比特冯诺依曼熵。
In contrast with entanglement, as measured by concurrence, in general, quantum discord does not possess the property of monogamy; that is, there is no tradeoff between the quantum discord shared by a pair of subsystems and the quantum discord that both of them can share with a third party. Here, we show that, as far as monogamy is considered, quantum discord of pure states is equivalent to the entanglement of formation. This result allows one to analytically prove that none of the pure three-qubit states belonging to the subclass of W states is monogamous. A suitable physical interpretation of the meaning of the correlation information as a quantifier of monogamy for the total information is also given. Finally, we prove that, for rank 2 two-qubit states, discord and classical correlations are bounded from above by single-qubit von Neumann entropies.