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.
The conclusions of this study suggest that the non-isometric holographic model of the black hole interior could potentially solve the long-standing black hole information puzzle. By combining the final-state projection model, the non-isometric model of the black hole interior, and the Hayden-Preskill thought experiment, the researchers were able to investigate information recovery from decoding Hawking radiation and demonstrate the emergence of the Page time.
One potential challenge on the horizon is incorporating the effective modes into the scrambling inside the black hole horizon, which are usually disregarded in Hayden-Preskill protocols. This will require further research and development to fully understand and incorporate these modes into the information retrieval process.
However, this study offers a new perspective on the Page time, showing that it can be identified as the transition of information transmission channels from the EPR projection to the local projections. This insight could lead to further breakthroughs in understanding black hole information.
In addition, the researchers computed the decoupling condition under which retrieving information is feasible and showed that this non-isometric model computes the black hole entropy consistent with quantum extremal surface calculations. This provides further evidence for the validity of the non-isometric holographic model.
Assuming full knowledge of the dynamics of the black hole interior, the researchers also demonstrated how the Yoshida-Kitaev decoding strategy can be employed in the modified Hayden-Preskill protocol. This opens up new possibilities for decoding and retrieving information from black holes.
Furthermore, experimental tests were conducted using both probabilistic and Grover’s search decoding strategies on 7-qubit IBM quantum processors. These tests validated the analytical findings and confirmed the feasibility of retrieving information in the non-isometric model. This suggests that quantum processors could be used to further explore the black hole information problem.
Roadmap for Readers:
- Introduction to the black hole information puzzle and the potential of the non-isometric holographic model
- Explanation of the final-state projection model, non-isometric model of black hole interior, and Hayden-Preskill thought experiment
- Investigation into information recovery from decoding Hawking radiation and the emergence of the Page time
- Challenges and opportunities in incorporating effective modes into the information retrieval process
- New perspective on the Page time and its identification as the transition of information transmission channels
- Computation of decoupling conditions for feasible information retrieval and validation of black hole entropy calculations
- Application of Yoshida-Kitaev decoding strategy in the modified Hayden-Preskill protocol
- Experimental tests on IBM quantum processors to validate findings and confirm feasibility of information retrieval
- Potential future directions for research in exploring the black hole information problem using quantum processors
This study opens up new possibilities for understanding and solving the black hole information problem. It also highlights the potential of quantum processors in shedding light on this long-standing mystery. Further research and development in incorporating effective modes, refining decoding strategies, and conducting more experimental tests will be crucial in advancing our understanding of black hole information.