论文标题
平衡的部分纠缠和混合状态相关性
Balanced Partial Entanglement and Mixed State Correlations
论文作者
论文摘要
最近，在参考文献\ cite {wen：2021qgx}中，其中一位作者引入了平衡的部分纠缠（BPE），该纠缠（BPE）已被认为是纠缠楔形横截面（EWC）的双重双重的。在本文中，我们明确证明了BPE可以被视为正确衡量混合状态下两个子系统之间的总固有相关性的适当度量。总相关性包括在某些平衡条件下最小化的某些交叉相关性。通过从欧几里得路径综合构建一类净化，我们发现平衡的交叉相关性显示了普遍性，并且可以被视为Markov差距的概括，以进行规范纯化。我们还测试了三维渐近全息图中BPE与EWC之间的关系。我们发现，在BMS $ _3 $对称（BMSFT）下，平衡的交叉相关性消失了，而对爱因斯坦重力的双重相关性消失，这表明可能有完美的马克夫恢复。我们进一步阐明了这些交叉相关性作为三方纠缠的签名，并在AD和非ADS全息图中解释了它们的解释。
Recently in Ref.\cite{Wen:2021qgx}, one of the authors introduced the balanced partial entanglement (BPE), which has been proposed to be dual to the entanglement wedge cross-section (EWCS). In this paper, we explicitly demonstrate that the BPE could be considered as a proper measure of the total intrinsic correlation between two subsystems in a mixed state. The total correlation includes certain crossing correlations which are minimized on some balance conditions. By constructing a class of purifications from Euclidean path-integrals, we find that the balanced crossing correlations show universality and can be considered as the generalization of the Markov gap for canonical purification. We also test the relation between the BPE and the EWCS in three-dimensional asymptotically flat holography. We find that the balanced crossing correlation vanishes for the field theory invariant under BMS$_3$ symmetry (BMSFT) and dual to the Einstein gravity, indicating the possibility of a perfect Markov recovery. We further elucidate these crossing correlations as a signature of tripartite entanglement and explain their interpretation in both AdS and non-AdS holography.
