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Modifications of the Page Curve from correlations within Hawking radiation

机译:根据霍金辐射内的相关性修改页面曲线

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We investigate quantum correlations between successive steps of black hole evaporation and investigate whether they might resolve the black hole information paradox. ‘Small’ corrections in various models were shown to be unable to restore unitarity. We study a toy qubit model of evaporation that allows small quantum correlations between successive steps and reaffirm previous results. Then, we relax the ‘smallness’ condition and find a nontrivial upper and lower bound on the entanglement entropy change during the evaporation process. This gives a quantitative measure of the size of the correction needed to restore unitarity. We find that these entanglement entropy bounds lead to a significant deviation from the expected Page curve.
机译:我们研究黑洞蒸发的连续步骤之间的量子相关性,并研究它们是否可能解决黑洞信息悖论。各种模型中的“小”校正显示无法恢复统一性。我们研究了蒸发的玩具量子位模型,该模型允许连续步骤之间的小量子相关性,并重申先前的结果。然后,我们放松“小”条件,并在蒸发过程中找到纠缠熵变化的不平凡的上下边界。这给出了恢复统一性所需的校正量的定量度量。我们发现这些纠缠熵边界导致与预期的Page曲线的显着偏离。

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