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首页> 外文期刊>Physical review, D >Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
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Entanglement negativity and minimal entanglement wedge cross sections in holographic theories

机译：全息理论中的纠缠消极性和最小的纠缠楔横截面

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摘要

We calculate logarithmic negativity, a quantum entanglement measure for mixed quantum states, in quantum error-correcting codes and find it to equal the minimal cross sectional area of the entanglement wedge in holographic codes with a quantum correction term equal to the logarithmic negativity between the bulk degrees of freedom on either side of the entanglement wedge cross section. This leads us to conjecture a holographic dual for logarithmic negativity that is related to the area of a cosmic brane with tension in the entanglement wedge plus a quantum correction term. This is closely related to (though distinct from) the holographic proposal for entanglement of purification. We check this relation for various configurations of subregions in AdS3=CFT2. These are disjoint intervals at zero temperature, as well as a single interval and adjacent intervals at finite temperature. We also find this prescription to effectively characterize the thermofield double state. We discuss how a deformation of a spherical entangling region complicates calculations and speculate how to generalize to a covariant description.
机译：我们计算对数消极性，混合量子状态的量子缠结度量，在量子误差校正码中，并找到它以等于全息码中的缠结楔的最小横截面积，其具有量子校正项等于散装之间的对数消极性纠缠楔截面两侧的自由度。这导致我们猜想与具有缠结楔形圈中的宇宙布兰的区域相关的对数消极性的全息性的否定性。这与全息建议不同（虽然不同）与纯化的全息建议密切相关。我们在ADS3 = CFT2中查看此关系。这些在零温度下不相交的间隔，以及有限温度的单个间隔和相邻间隔。我们还发现此处方可有效地表征了ThermoIde Double状态。我们讨论了球形缠绕区域的变形如何使计算复杂化并推测如何概括为协调性描述。

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