Quantum circuit simulation of black hole evaporation and Maxwell demon interpretation

TL;DR

This paper introduces a quantum circuit model that simulates black hole evaporation, explores the AMPS paradox and ER=EPR through a Maxwell's demon framework, and analyzes the thermodynamic costs of information erasure.

Contribution

It presents a novel quantum circuit model incorporating a Maxwell's demon to simulate black hole information transfer and entanglement structure, linking quantum information and gravity.

Findings

The demon can mediate quantum information transfer via Einstein-Rosen bridges.

The model reproduces key features of black hole evaporation and entanglement.

The energy cost of information erasure aligns with black hole entropy.

Abstract

We suggest a quantum circuit model which simulates the black-hole evaporation process. In particular, Almheiri-Marolf-Polchinski-Sully (AMPS) paradox and the ER=EPR correspondence are reconsidered regarding our proposed model, which assumes a Maxwell's demon operating within a black hole interior. In other words, we form a quantum circuit, mimicking the behavior of the entanglement structure of the near-horizon region and the early Hawking radiation located far from the black hole. Furthermore, we indicate how the demon, by applying nonlocal correlations, can mediate via Einstein-Rosen bridges for the purpose of simulating the transfer of quantum information across the horizon without violating the monogamy of entanglement. Finally, the thermodynamic cost of the demon's operations regarding Landauer's principle is analyzed. This indicates that the information erasure has an energy comparable to the black hole entropy.