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arXiv 1909.09334hep-thquant-ph
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全息术中的优化相关措施

Optimized Correlation Measures in Holography

Newton Cheng

摘要:

我们考虑一类量子态的相关测度,称为优化的相关测度,定义为给定态的纯化上的冯诺伊曼熵的线性组合的最小化。实例包括纯化$E_P$的缠结和挤压缠结$E_{\text{sq}}$。我们表明,当评估这样的措施"好”全息状态在大- $N$限制,最佳的净化有一个半经典的几何对偶。然后,我们应用这个结果来确认几个全息对偶的建议,包括$n$ -党压扁纠缠。此外,我们的结果提出了两个新的技术来确定全息熵:全息熵不等式和直接优化的对偶几何。

英文摘要:

We consider a class of correlation measures for quantum states called optimized correlation measures, defined as a minimization of a linear combination of von Neumann entropies over purifications of a given state. Examples include the entanglement of purification $E_P$ and squashed entanglement $E_{\text{sq}}$. We show that when evaluating such measures on ``nice" holographic states in the large-$N$ limit, the optimal purification has a semi-classical geometric dual. We then apply this result to confirm several holographic dual proposals, including the $n$-party squashed entanglement. Moreover, our result suggests two new techniques for determining holographic duals: holographic entropy inequalities and direct optimization of the dual geometry.

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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