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Entanglement is not enough
Open accessAbstract
This is the written version of a lecture given at KITP in Oct 2014 on Black Holes and quantum complexity. I've included (in boldface) various questions that came up during the lecture and discussions the following day, as well as the quantitative calculations that form the basis of the arguments.
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“This is the fact that the wormhole is getting longer [62, 63].”
From Replica wormholes and the entropy of Hawking radiation (2020) · cites this paper as [63]
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“The entropy of region R without considering the island grows linearly with time t b , S Hawking ∼ πc 6β t b .”
From Replica wormholes for an evaporating 2D black hole (2021) · cites this paper as [69]
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“Again, if one assumes that the initial black hole was well scrambled, then any small subset of the degrees of freedom will be maximally entangled with the rest [12].”
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Complexity growth in flat spacetimes
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Time dependence of complexity for Lovelock black holes
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Knots, links, and long-range magic
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Generalized volume-complexity for two-sided hyperscaling violating black branes
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Metadata
- Authors
- Susskind, L.
- Affiliations
- Stanford University (US)
- Corresponding author
- Susskind, Leonard
- ORCID
- Susskind, Leonard
- Venue
- Fortschritte der Physik
- Publisher
- Wiley
- Published
- 2016-01
- Volume
- 64
- Issue
- 1
- Pages
- 49-71
- ISSN
- 0015-8208 (ISSN-L)
- 1521-3978
- OpenAlex
- W2162408901
- Cited by
- 427
- References
- 38
- Citations by year
- 2026: 15 · 2025: 31 · 2024: 31 · 2023: 47 · 2022: 49 · 2021: 62 · 2020: 48 · 2019: 52 · 2018: 48 · 2017: 29 · 2016: 11
- FWCI
- 22.53
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Fortschritte der Physik (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0756174)
- John Templeton Foundation
- 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 › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- black holes, quantum complexity, quantum entanglement, quantum chaos, black hole information
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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