Scrambling and decoding the charged quantum information
Creators
Abstract
Some deep conjectures about quantum gravity are closely related to the role of symmetries in the gravitational background, especially for quantum black holes. In this paper, we systematically study the theory of quantum information for a charged, chaotic system. We show how the quantum information in the whole system has been represented by its charge sectors, using the theory of quantum chaos and quantum error correction, with concrete examples in the context of the complex Sachdev-Ye-Kitaev model. We discuss possible implications for black-hole thought experiments and conjectures about quantum gravity in the dynamical setup. We believe this work will have potential applications from theories of quantum gravity to quantum simulation in quantum devices.
Additional Information
© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Received 20 May 2020; accepted 13 October 2020; published 30 October 2020. I thank my advisors C. Cheung, D. Simmons-Duffin, and J. Preskill for their numerous supports and discussions during the course of the project. I also thank J. Preskill and P. Zhang for their related discussions and collaborations in progress. I thank V. Albert, F. Brandão, M. Hanada, P. Hayden, A. Kitaev, R. Kueng, A. Lewkowycz, H. Ooguri, G. Penington, X. Qi, S. Sachdev, B. Sahinoglu, E. Silverstein, D. Stanford, B. Swingle, E. Tang, G. Torroba, T. Wang, Y.-Z. You, and S. Zhou for related discussions, and M. Wilde and B. Yoshida for helpful correspondence on the draft. I am supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant No. PHY-1125565) with support from the Gordon and Betty Moore Foundation (Grant No. GBMF-2644), by the Walter Burke Institute for Theoretical Physics, and by Sandia Quantum Optimization & Learning & Simulation, DOE Award No. DE-NA0003525.Attached Files
Published - PhysRevResearch.2.043164.pdf
Submitted - 2003.11425.pdf
Files
2003.11425.pdf
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Additional details
Identifiers
- Eprint ID
- 106386
- Resolver ID
- CaltechAUTHORS:20201102-104838060
Related works
- Describes
- https://arxiv.org/abs/2003.11425 (URL)
Funding
- Institute for Quantum Information and Matter (IQIM)
- NSF
- PHY-1125565
- Gordon and Betty Moore Foundation
- GBMF-2644
- Walter Burke Institute for Theoretical Physics, Caltech
- Department of Energy (DOE)
- DE-NA0003525
Dates
- Created
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2020-11-04Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field