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arXiv 0705.1308quant-ph
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多体量子态的量子纠缠

Quantify Entanglement for Multipartite Quantum States

Zongwen Yu, Su Hu, Chunlei Zhang

摘要:

本文考虑了如何对任意多体量子态的纠缠进行量化的问题。对于两体纯态,部分熵是一个很好的纠缠度量。利用偏熵,我们首次引入了完全纠缠态的组合熵,它可以用来量化任意完全纠缠纯态的纠缠。为了对任意多体态的纠缠进行量化,我们还需要一个概念--纠缠组合(Entanglement Combination,EC),它可以完整地描述给定量子态中任意一方之间的纠缠。结合CEF和EC,我们定义了任意多体纯态的组合熵(CE),并给出了一些很好的性质,表明CE是一个很好的纠缠度量。最后指出了将这三个概念推广到混合量子态的可行性。

英文摘要:

In this paper, we consider the problem of how to quantify entanglement for any multipartite quantum states. For bipartite pure states partial entropy is a good entanglement measure. By using partial entropy, we firstly introduce the Combinatorial Entropy of Fully entangled states (CEF) which can be used to quantify entanglement for any fully entangled pure states. In order to quantify entanglement for any multipartite states we also need another concept the Entanglement Combination (EC) which can be used to completely describe the entanglement between any parties of the given quantum states. Combining CEF with EC, we define the Combinatorial Entropy (CE) for any multipartite pure states and present some nice properties which indicate CE is a good entanglement measure. Finally, we point out the feasibility of extending these three concepts to mixed quantum states.

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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