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arXiv 1605.04073quant-ph
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“见证者”的层次结构及作为超纠缠见证者的纠缠态的性质和表征

The hierarchies of "witnesses" and the properties and characterization of entangled states as super entanglement witnesses

Bang-Hai Wang

备注：
6 pages, 3 figures, comments are welcome
发表信息：
Phys. Rev. A 97, 050302 (2018)
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摘要：

量子纠缠是量子力学和量子信息处理的核心。围绕\emph{witnesses}纠缠见证者的问题，我们证明了纠缠态作为超纠缠见证者的作用。我们证明了可分离态扮演着“超级纠缠见证者”的角色，并“见证”了纠缠见证者之外的其他可观测量。我们表明，存在着一个层次结构的证人和存在“证人”无处不在。此外，我们还讨论了纠缠态作为超纠缠见证的性质和表征。通过纠缠态的超级见证者的作用，我们立即发现了不同的纠缠见证者何时能检测到相同的纠缠态的问题[{ \it Phys. Lett. A }{ \bf 356} 402（2006）]的问题与当不同的纠缠态可以由相同的纠缠见证者检测时的问题相同[{ \it Phys. Rev. A} { \bf 75} 052333（2007）]。通过“见证者”的作用，我们定义了更精细的纠缠态和最佳纠缠态。该定义给出了纠缠的非数值度量和纠缠态的明确判别，对一般纠缠态$ρ$的优化过程就是在[ { \it Phys. Rev. Lett.}} { \bf 80} 2261（1998）]。

英文摘要：

Quantum entanglement lies at the heart of quantum mechanical and quantum information processing. Following the question who \emph{witnesses} entanglement witnesses, we show entangled states play as the role of super entanglement witnesses. We show separable states play the role of "super super entanglement witnesses" and "witness" other observables than entanglement witnesses. We show that there exists a hierarchy structure of witnesses and there exist "witnesses" everywhere. Furthermore, we show the properties and characterization of entangled states as super entanglement witnesses. By the role of super witnesses of entangled states, we immediately find the question when different entanglement witnesses can detect the same entangled states [{\it Phys. Lett. A }{\bf 356} 402 (2006)] is the same as the question when different entangled states can be detected by the same entanglement witnesses [{\it Phys. Rev. A} {\bf 75} 052333 (2007)]. By the role of "witnesses", we define finer entangled states and optimal entangled states. The definition gives a nonnumeric measurement of entanglement and an unambiguous discrimination of entangled states, and the procedure of optimization for a general entangled state $ρ$ is just finding the best separable approximation (BSA) to $ρ$ in [ {\it Phys. Rev. Lett.} {\bf 80} 2261 (1998)].}

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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