论文标题
康普顿/施瓦茨柴尔德双重性，黑洞熵和量子信息
The Compton/Schwarzschild duality, black hole entropy and quantum information
论文作者
论文摘要
Carr提出了一种与黑洞的量子描述相关的一种新的双重性，即所谓的Compton/Schwarzschild Duality \ cite {Carr：2015nqa}。在这种情况下，已经出现了一种普遍不确定性原则的新形式，这必须为我们带来一条有趣的新途径，以实现时空的量子描述。在本文中，我们将研究康普顿/施瓦茨柴尔德二元性对黑洞熵的后果。结果发现，对黑洞和量子信息理论之间的关系有了一个有趣的观点，该观点最近在文献中提出：黑洞熵可以在黑洞蒸发的最后阶段假设负值。因此，在Compton/Schwarschild二元性提出的重力的量子校正的背景下，黑洞的最终状态可能对应于量子纠缠状态，代替残余。
A new kind of duality has been proposed by Carr related to the quantum description of black holes, the so-called Compton/Schwarzschild duality \cite{Carr:2015nqa}. In this context, a new form for a Generalized Uncertainty Principle has arisen, which must bring us an interesting new route to a quantum description of spacetime. In the present paper, we shall investigate the consequences of the Compton/Schwarzschild duality to black hole entropy. The results found out reinforce an interesting perspective on the relationship between black holes and quantum information theory that has been recently proposed in the literature: that black hole entropy can assume negative values at the final stage of black hole evaporation. Consequently, in the context of the quantum corrections to gravity proposed by the Compton/Schwarschild duality, the final state of a black hole might correspond to a quantum entangled state, in the place of a remnant.
