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Cited by 428Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesRelativity and Gravitational Theory

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

The gravity dual of a density matrix

Open access
Czech, Bartłomiej, Karczmarek, Joanna L, Nogueira, Fernando, Van Raamsdonk, Mark·2012·Classical and Quantum Gravity
DOI 10.1088/0264-9381/29/15/155009
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Abstract

For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS/CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region.

Overview

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Crossref · 10.1088/0264-9381/29/15/155009

Cites

4 of 4 references verified0 citation errors · 0 not checkable

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  • If we know the state on any spatial region, we also know it in the causal diamond associated to that region; this has been called the entanglement wedge.

    “If we know the state on any spatial region, we also know it in the causal diamond associated to that region, recall figure 6. This has historically been called the 'entanglement wedge' [65, 72, 73].”

    From The entropy of Hawking radiation (2021) · cites this paper as [72]

  • A bulk operator can be reconstructed using a given boundary region B if and only if the bulk operator is contained in the entanglement wedge of B.

    “A bulk operator can be reconstructed using a given boundary region B, if, and only if, the bulk operator is contained in a region known as the entanglement wedge b of the boundary region B.”

    From Entanglement wedge reconstruction and the information paradox (2020) · cites this paper as [19]

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 11

  1. Maldacena J M, 1998, Adv. Theor. Math. Phys., 2, 231, 10.4310/ATMP.1998.v2.n2.a1 · DOI · Paper page
  2. 10.1016/S0370-1573(99)00083-6 · DOI
  3. Van Raamsdonk M, 2011, Class. Quantum Gravity, 28, 10.1088/0264-9381/28/6/065002 · DOI
  4. Freivogel B, 2006, J. High Energy Phys.
  5. Hubeny V E, 2007, J. High Energy Phys.
  6. Gao S, 2000, Class. Quantum Gravity, 17, 4999, 10.1088/0264-9381/17/24/305 · DOI
  7. 10.1016/S0550-3213(03)00482-6 · DOI
  8. Pestov L, 2005, Ann. Math., 1089
  9. 10.1007/s10714-010-1034-0 · DOI · Paper page
  10. 10.1142/S0218271810018529 · DOI
  11. 10.1103/PhysRevD.62.044041 · DOI

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Metadata

Authors
Czech, B., Karczmarek, J. L., Nogueira, F., & Van Raamsdonk, M.
Affiliations
University of British Columbia (CA)
ORCID
Czech, Bartłomiej
Venue
Classical and Quantum Gravity
Publisher
IOP Publishing
Published
2012-07-03
Volume
29
Issue
15
Pages
155009
ISSN
  • 0264-9381 (ISSN-L)
  • 1361-6382
DOI
10.1088/0264-9381/29/15/155009
OpenAlex
W2067737180
Cited by
428
References
4
Citations by year
2026: 11 · 2025: 34 · 2024: 32 · 2023: 37 · 2022: 35 · 2021: 41 · 2020: 58 · 2019: 43 · 2018: 25 · 2017: 23 · 2016: 24 · 2015: 14 · 2014: 23 · 2013: 19 · 2012: 9
FWCI
9.35
Type
journal article
Language
en
Open access
Locations
  • Classical and Quantum Gravity (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Canada Research Chairs
  • Natural Sciences and Engineering Research Council of Canada
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
density matrix, AdS/CFT correspondence, gravity dual, bulk reconstruction, quantum information, holography, quantum field theory

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