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arXiv quant-ph/0505121quant-ph
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所有的最大纠缠态都是纯的吗?

Are all maximally entangled states pure?

Daniel Cavalcanti, Fernando G. S. L. Brandao, Marcelo O. Terra Cunha

摘要:

我们通过几个纠缠单调来研究是否所有的最大纠缠态都是纯的。在两体情况下,我们发现导致纠缠熵作为纠缠度量的唯一性的相同条件,排除了最大混合纠缠态的存在。在多体情况下,我们的结论使我们能够推广一夫一妻的纠缠的想法:我们建立了\textit{polygamy of entanglement},表示如果一个一般的状态是最大的纠缠相对于某种多体纠缠,那么它必然是任何其他系统的因式分解。

英文摘要:

We study if all maximally entangled states are pure through several entanglement monotones. In the bipartite case, we find that the same conditions which lead to the uniqueness of the entropy of entanglement as a measure of entanglement, exclude the existence of maximally mixed entangled states. In the multipartite scenario, our conclusions allow us to generalize the idea of monogamy of entanglement: we establish the \textit{polygamy of entanglement}, expressing that if a general state is maximally entangled with respect to some kind of multipartite entanglement, then it is necessarily factorized of any other system.

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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