Perturbative Distinguishability of Black Hole Microstates from AdS/CFT Correspondence

• URL: http://arxiv.org/abs/2504.08402v1
• Date: Fri, 11 Apr 2025 10:09:37 GMT
• Title: Perturbative Distinguishability of Black Hole Microstates from AdS/CFT Correspondence
• Authors: Jiaju Zhang,
• Abstract summary: We establish direct evidence for the perturbative distinguishability between black hole microstates and thermal states using the AdS/CFT correspondence.<n>In two-dimensional holographic conformal field theories, we obtain the short interval expansion of subsystem fidelity and quantum Jensen-Shannon divergence.
• Score: 0.087024326813104
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We establish direct evidence for the perturbative distinguishability between black hole microstates and thermal states using the AdS/CFT correspondence. In two-dimensional holographic conformal field theories, we obtain the short interval expansion of subsystem fidelity and quantum Jensen-Shannon divergence, both of which provide rigorous lower and upper bounds for trace distance. This result demonstrates that quantum gravity corrections break semiclassical indistinguishability, thereby supporting the recovery of information even from a small amount of the Hawking radiation.

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