Petz reconstruction in random tensor networks
Open accessAbstract
We illustrate the ideas of bulk reconstruction in the context of random tensor network toy models of holography. Specifically, we demonstrate how the Petz reconstruction map works to obtain bulk operators from the boundary data by exploiting the replica trick. We also take the opportunity to comment on the differences between coarse-graining and random projections.
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A Petz-like map can be used to demonstrate bulk reconstruction in random tensor network toy models of holography.
“More recently, it has been shown that a Petz-like map can be used to demonstrate bulk reconstruction in random tensor network toy models [52,185] of holography.”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [185]
Random tensor networks have been used to demonstrate approximate bulk reconstruction via the universal recovery map.
“Such random tensor networks are known to successfully demonstrate several holographic properties [184] and have been recently used to demonstrate approximate bulk reconstruction [185] via the universal recovery map described in Sect.4.3.2below.”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [185]
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- Authors
- Jia, H. F., & Rangamani, M.
- Affiliations
- University of California, Davis (US)
- Corresponding author
- Rangamani, Mukund
- Venue
- Journal of High Energy Physics
- Published
- 2020-10
- Volume
- 2020
- Issue
- 10
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W3036122448
- Cited by
- 12
- References
- 33
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 1 · 2022: 4 · 2021: 2 · 2020: 1
- FWCI
- 0.88
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DESC0019480)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- bulk reconstruction, random tensor networks, holography, replica method, boundary data, coarse-graining, random projections
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