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arXiv 1909.04727hep-thquant-ph
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AdS/CFT中的关联测度和可压缩纠缠

Correlation measures and distillable entanglement in AdS/CFT

Joshua Levin, Oliver DeWolfe, Graeme Smith

备注：
12 pages, 5 figures. v2: typos and minor corrections, references added
发表信息：
Phys. Rev. D 101, 046015 (2020)
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摘要：

最近的发展揭示了量子信息和全息术之间的密切联系。在本文中，我们探讨了最近引入的$Q$ -相关和$R$ -相关，$E_Q$和$E_R$的几何解释。我们发现，$E_Q$通过表面态对应得到了一个自然的几何解释：它是表面区域$A$和$B$与$A$纠缠楔横截面之间的最小互信息。我们注意到一个严格的权衡之间的最小互信息和对称的侧信道辅助可并行纠缠从环境$E$ $A$，$I^{ss}(E\rangle A)$。我们还表明，$R$相关性，$E_R$，符合全息与纠缠楔横截面。这进一步阐明了全息场论中纠缠、关联和几何之间的复杂关系。

英文摘要：

Recent developments have exposed close connections between quantum information and holography. In this paper, we explore the geometrical interpretations of the recently introduced $Q$-correlation and $R$-correlation, $E_Q$ and $E_R$. We find that $E_Q$ admits a natural geometric interpretation via the surface-state correspondence: it is a minimal mutual information between a surface region $A$ and a cross-section of $A$'s entanglement wedge with $B$. We note a strict trade-off between this minimal mutual information and the symmetric side-channel assisted distillable entanglement from the environment $E$ to $A$, $I^{ss}(E\rangle A)$. We also show that the $R$-correlation, $E_R$, coincides holographically with the entanglement wedge cross-section. This further elucidates the intricate relationship between entanglement, correlations, and geometry in holographic field theories.

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