AI 中文总结
该研究构建含重叠量子比特的蒸发黑洞玩具模型，通过同一代数的不同表示避免不可克隆定理违反，捕捉黑洞蒸发特征并得到佩奇曲线。
AI 中文摘要
我们利用作用于“重叠”量子比特的近似局域自由度构建了一个蒸发黑洞的玩具模型，其中自然产生了黑洞互补性的一种形式。辐射与内部对应的算子被认定为同一基础代数的两种不同表示，从而阻止了希尔伯特空间精确分解为内部与外部，并避免了常规的不可克隆定理违反。我们展示了该玩具模型如何捕捉黑洞蒸发的若干定性与定量特征，以及熵计算中对这种“重叠”的考虑能力如何引导得到佩奇曲线。
英文摘要
We construct a toy model of an evaporating black hole using approximately local degrees of freedom acting on ``overlapping" qubits in which a version of black hole complementarity arises naturally. The operators corresponding to the radiation and the interior are identified as two distinct representations of the same fundamental algebra, thereby preventing the exact factorization of the Hilbert space into interior and exterior and avoiding the conventional no-cloning violations. We show how this toy model captures several qualitative and quantitative features of black hole evaporation and how the ability to account for this ``overlap" in the entropy calculation leads to the recovery of a Page curve.
Comments41 pages, 7 figures
