论文标题
黑洞几乎一定的损失:对黑洞最终州提案的批评评论
Almost certain loss from black holes: critical comments on the black hole final state proposal
论文作者
论文摘要
在本文中,我们批判性地重新审视了Horowitz-Maldacena的提议及其劳埃德的概括。在最初的提案以及劳埃德的概括中,霍金辐射涉及一对最大纠缠的量子状态,在该状态下,在该状态下,在奇异伙伴状态和崩溃的物质中形成了最大纠缠的一对或施密特在奇异性附近分解的随机状态。我们指出,在劳埃德(Lloyd)的忠诚度计算中引入的统一矩阵取决于初始物质状态。因此,他对高平均忠诚度的结果可能几乎代表了几乎统一的进化。在反对劳埃德的结论中,当我们不包括依从于国家依赖的统一计算的统一矩阵时,我们在分析和数值上几乎可以确定信息肯定会丢失,因为随着自由度的增加,忠诚度将接近零。
In this paper, we critically revisit the Horowitz-Maldacena proposal and its generalization by Lloyd. In the original proposal, as well as in Lloyd's generalization, Hawking radiation involves a pair of maximally entangled quantum states in which the ingoing partner state and the collapsed matter form either a maximally entangled pair or a Schmidt decomposed random state near the singularity. We point out that the unitary matrix introduced in Lloyd's fidelity calculation depends on initial matter states; hence, his result on the high average fidelity may not represent an almost unitary evolution. In opposition to Lloyd's conclusion, when we do not include the state-dependent unitary matrix for the fidelity computation, we analytically and numerically confirm that information will almost certainly be lost because the fidelity will approach zero as the degrees of freedom increase.