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arXiv quant-ph/0108021quant-ph
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纠缠度度量负性和并发性的比较

A comparison of the entanglement measures negativity and concurrence

Frank Verstraete, Koenraad Audenaert, Jeroen Dehaene, Bart De Moor

摘要:

本文研究了两个量子比特混合态的两种不同的纠缠度量。我们证明了一个状态的负性永远不会超过它的并发度,并且总是大于$\sqrt{(1-C)^2+C^2}-(1-C)$,其中$C$是状态的并发度。此外,我们推导出一个明确的表达的状态,满足的上限或下限。最后,我们发现,如果比较纠缠的相对熵和形成纠缠,类似的结果也成立。

英文摘要:

In this paper we investigate two different entanglement measures in the case of mixed states of two qubits. We prove that the negativity of a state can never exceed its concurrence and is always larger then $\sqrt{(1-C)^2+C^2}-(1-C)$ where $C$ is the concurrence of the state. Furthermore we derive an explicit expression for the states for which the upper or lower bound is satisfied. Finally we show that similar results hold if the relative entropy of entanglement and the entanglement of formation are compared.

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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