The DOI matches its Crossref record; 68 of the 68 references it cites were found in a registry or an index.
Complexity, action, and black holes
Open accessAbstract
Our earlier paper ``Complexity Equals Action'' conjectured that the quantum computational complexity of a holographic state is given by the classical action of a region in the bulk (the ``Wheeler-DeWitt'' patch). We provide calculations for the results quoted in that paper, explain how it fits into a broader (tensor) network of ideas, and elaborate on the hypothesis that black holes are the fastest computers in nature.
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Citations
Cites
Susskind, L. (1994) · arXiv · doi:10.48550/arxiv.hep-th/9409089 · Cited by 4,085
Self-citationSusskind, L. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531249 · Cited by 4,085
Self-citationMicroscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · Physics Letters B · doi:10.1016/0370-2693(96)00345-0 · Cited by 3,072
Maldacena, J., Shenker, S. H., & Stanford, D. (2016) · Journal of High Energy Physics · doi:10.1007/jhep08(2016)106 · Cited by 2,313
Microscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · CERN Document Server (European Organization for Nuclear Research) · Cited by 2,109
Average entropy of a subsystem
Page, D. N. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.1291 · Cited by 1,578
Eternal black holes in anti-de Sitter
Maldacena, J. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/04/021 · Cited by 1,555
Black holes and the butterfly effect
Shenker, S. H., & Stanford, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)067 · Cited by 1,533
Black holes as mirrors: quantum information in random subsystems
Hayden, P., & Preskill, J. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/09/120 · Cited by 1,332
Cool horizons for entangled black holes
Maldacena, J., & Susskind, L. (2013) · Fortschritte der Physik · doi:10.1002/prop.201300020 · Cited by 1,304
Self-citation
Cited by
Holographic Complexity Equals Bulk Action?
Brown, A. R., Roberts, D. A., Susskind, L., Swingle, B., & Zhao, Y. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.191301 · Cited by 852
Self-citationEmergent Gravity and the Dark Universe
Verlinde, E. P. (2017) · SciPost Physics · doi:10.21468/scipostphys.2.3.016 · Cited by 554
Chaos and complexity by design
Roberts, D. A., & Yoshida, B. (2017) · Journal of High Energy Physics · doi:10.1007/jhep04(2017)121 · Cited by 455
Self-citationSecond law of quantum complexity
Brown, A. R., & Susskind, L. (2018) · Physical Review D · doi:10.1103/physrevd.97.086015 · Cited by 292
Self-citationComments on holographic complexity
Carmi, D., Myers, R. C., & Rath, P. (2017) · Journal of High Energy Physics · doi:10.1007/jhep03(2017)118 · Cited by 292
Metadata
- Authors
- Brown, A. R., Roberts, D. A., Susskind, L., Swingle, B., & Zhao, Y.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2016-04-18
- Volume
- 93
- Issue
- 8
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2219721183
- Cited by
- 640
- References
- 68
- FWCI
- 39.60
- Type
- journal article
- Language
- en
- Open access
- green
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- Brown, A. R., Roberts, D. A., Susskind, L., Swingle, B., & Zhao, Y. (2016). Complexity, action, and black holes. Physical Review D. https://doi.org/10.1103/physrevd.93.086006
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
