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Distinguishing Black Hole Microstates using Holevo Information
Wu-Zhong Guo1, Feng-Li Lin2, Jiaju Zhang3,4
1Physics Division, National Center for Theoretical Sciences, National Tsing Hua University, No. 101, Sec. II, Kuang Fu Road, Hsinchu 30013, Taiwan.
Physical Review Letters
|January 5, 2019
Summary
Holographic Holevo information in conformal field theory (CFT) distinguishes black hole microstates. Including 1/c corrections reveals these microstates are distinguishable from thermal states, challenging previous findings.
Area of Science:
- Quantum Gravity
- String Theory
- High Energy Physics
Background:
- Conformal Field Theory (CFT) describes quantum systems at critical points.
- Holographic principle relates CFTs to gravitational theories in higher dimensions.
- Black hole microstates are crucial for understanding quantum gravity.
Purpose of the Study:
- To investigate the distinguishability of black hole microstates from thermal states using Holevo information.
- To analyze the impact of 1/c corrections on holographic Holevo information.
- To explore the role of quantum gravity corrections in black hole thermodynamics.
Main Methods:
- Utilizing Holevo information as a measure of distinguishability.
- Applying two-dimensional CFT with a large central charge (c).
- Incorporating 1/c corrections from conformal families in thermal ensembles.
Main Results:
- Holographic Holevo information exhibits plateau behaviors in short and long intervals.
- 1/c corrections lift these plateaus, indicating microstate distinguishability.
- Quantum gravity corrections (higher-order G_N) affect distinguishability.
Conclusions:
- The inclusion of 1/c corrections refines the understanding of black hole microstate distinguishability.
- Higher-order quantum gravity corrections challenge the notion of perfect indistinguishability/distinguishability observed in leading-order holographic calculations.
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