Information retrieval from Hawking radiation in the non-isometric model of black hole interior: theory and quantum simulations

TL;DR

This paper explores how information can be recovered from Hawking radiation in a non-isometric black hole interior model, combining theoretical analysis with quantum simulations to shed light on the black hole information paradox.

Contribution

It introduces a novel approach integrating the non-isometric model with Hayden-Preskill protocols and demonstrates quantum simulation of information retrieval strategies.

Findings

Identification of Page time as a transition in information transmission channels

Validation of black hole entropy calculations with quantum extremal surface results

Successful experimental tests of decoding strategies on IBM quantum processors

Abstract

The non-isometric holographic model of the black hole interior stands out as a potential resolution of the long-standing black hole information puzzle since it remedies the friction between the effective calculation and the microscopic description. In this study, combining the final-state projection model, the non-isometric model of black hole interior and Hayden-Preskill thought experiment, we investigate the information recovery from decoding Hawking radiation and demonstrate the emergence of the Page time in this setup. We incorporate the effective modes into the scrambling inside the horizon, which are usually disregarded in Hayden-Preskill protocols, and show that the Page time can be identified as the transition of information transmission channels from the EPR projection to the local projections. This offers a new perspective on the Page time. We compute the decoupling condition under which retrieving information is feasible and show that this model computes the black hole entropy consistent with the quantum extremal surface calculation. Assuming the full knowledge of the dynamics of the black hole interior, we show how Yoshida-Kitaev decoding strategy can be employed in the modified Hayden-Preskill protocol. Furthermore, we perform experimental tests of both probabilistic and Grover's search decoding strategies on the 7-qubit IBM quantum processors to validate our analytical findings and confirm the feasibility of retrieving information in the non-isometric model. This study would stimulate more interests to explore black hole information problem on the quantum processors.