论文标题
互补性和黑洞的单位性$ s $ -matrix
Complementarity and the unitarity of the black hole $S$-matrix
论文作者
论文摘要
最近，Akers等。提出了从黑洞内部到其外部的非偶像全息图。在此模型中，我们研究了黑洞$ S $ -MATRIX的属性，这些属性原则上是居住在黑洞外的观察者。具体而言，我们研究了一个场景，其中插入剂在黑洞外部和内部都与辐射相互作用。由于全息图涉及选择后，因此在这种情况下不能保证$ s $ -matrix的单位性，但是如果满足适当的条件，我们发现单位性能满足于很高的精度。如果内部黑洞动力学由伪andom统一转换描述，并且如果输入器执行的操作具有计算复杂性与黑洞熵的多项式缩放，则$ S $ -MATRIX是单一的，直至校正，而在黑洞熵中是超级多样的小。此外，虽然原则上是由选择后辅助的量子计算可能非常强大，但我们在类似的假设下发现，蒸发黑洞的$ s $ matrix具有多项式计算复杂性。
Recently, Akers et al. proposed a non-isometric holographic map from the interior of a black hole to its exterior. Within this model, we study properties of the black hole $S$-matrix, which are in principle accessible to observers who stay outside the black hole. Specifically, we investigate a scenario in which an infalling agent interacts with radiation both outside and inside the black hole. Because the holographic map involves postselection, the unitarity of the $S$-matrix is not guaranteed in this scenario, but we find that unitarity is satisfied to very high precision if suitable conditions are met. If the internal black hole dynamics is described by a pseudorandom unitary transformation, and if the operations performed by the infaller have computational complexity scaling polynomially with the black hole entropy, then the $S$-matrix is unitary up to corrections that are superpolynomially small in the black hole entropy. Furthermore, while in principle quantum computation assisted by postselection can be very powerful, we find under similar assumptions that the $S$-matrix of an evaporating black hole has polynomial computational complexity.
