利用Holevo信息识别黑洞微观态
Distinguishing Black Hole Microstates using Holevo Information
摘要：
我们使用Holevo信息在一个大的中心荷$c$的二维共形场论（CFT）来区分微观状态从底层的热状态。全息地，热态的CFT微态与三维反德西特空间中的黑洞微态几何对偶。最近发现全息Holevo信息在短和长间隔区都表现出平台行为。这表明，黑洞的微观状态是无法区分的热状态，通过测量一个小的区域，并完全区分其大小相当于整个系统的区域。在这封信中，我们表明，高原被解除，包括$1/c$校正的真空和非真空共形家庭的CFT无论是在正则系综或微正则系综热状态。我们的结果表明，量子引力的高阶牛顿常数$G_N$修正破坏了上述黑洞微态几何相对于底层黑洞的不可逆性和可逆性.
英文摘要：
We use the Holevo information in a two-dimensional conformal field theory (CFT) with a large central charge $c$ to distinguish microstates from the underlying thermal state. Holographically, the CFT microstates of a thermal state are dual to black hole microstate geometries in three-dimensional anti-de Sitter space. It was found recently that the holographic Holevo information shows plateau behaviors at both short and long interval regions. This indicates that the black hole microstates are indistinguishable from the thermal state by measuring over a small region, and perfectly distinguishable over a region with its size comparable to the whole system. In this letter, we demonstrate that the plateaus are lifted by including the $1/c$ corrections from both the vacuum and non-vacuum conformal families of CFT in either the canonical ensemble or microcanonical ensemble thermal state. Our results imply that the aforementioned indistinguishability and distinguishability of black hole microstate geometries from the underlying black hole are spoiled by higher order Newton constant $G_N$ corrections of quantum gravity.
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