The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Holographic complexity
Open accessAbstract
For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem. The holographic complexity is proportional to the volume of a codimension one time slice in the bulk geometry enclosed by the extremal codimension two hypersurface appearing in the computation of the holographic entanglement entropy. The proportionally constant, up to a numerical order of 1 factor is $GR$ where $G$ is the Newton constant and $R$ is the curvature of the space-time. We study this quantity in certain holographic models. We also explore a possible relation between the defined quantity and fidelity appearing in quantum information literature.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
The Large-N Limit of Superconformal Field Theories and Supergravity
Maldacena, J. (1999) · International Journal of Theoretical Physics · doi:10.1023/a:1026654312961 · Cited by 6,704
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
Susskind, L. (1994) · arXiv · doi:10.48550/arxiv.hep-th/9409089 · Cited by 4,085
Susskind, L. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531249 · Cited by 4,085
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
A covariant holographic entanglement entropy proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/07/062 · Cited by 1,822 · cited 1×
“Indeed, following the covariant conjecture of holographic entanglement entropy [8] in order to define the corresponding holographic complexity one should compute the volume of a part of the space time enclosed by the extremal co-dimension two hypersurface appearing in the computation of the covariant holographic entan…”
BackgroundA Covariant Holographic Entanglement Entropy Proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · arXiv · doi:10.48550/arxiv.0705.0016 · Cited by 1,822
The ‘transition probability’ in the state space of a—algebra
Uhlmann, A. (1976) · Reports on Mathematical Physics · doi:10.1016/0034-4877(76)90060-4 · Cited by 1,649
Entanglement renormalization and holography
Swingle, B. (2012) · Physical Review D · doi:10.1103/physrevd.86.065007 · Cited by 915
Cited by
Complexity, action, and black holes
Brown, A. R., Roberts, D. A., Susskind, L., Swingle, B., & Zhao, Y. (2016) · Physical Review D · doi:10.1103/physrevd.93.086006 · Cited by 640
Toward a Definition of Complexity for Quantum Field Theory States
Chapman, S., Heller, M. P., Marrochio, H., & Pastawski, F. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.121602 · Cited by 403
Comments 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
Noether charge, black hole volume, and complexity
Couch, J., Fischler, W., & Nguyen, P. H. (2017) · Journal of High Energy Physics · doi:10.1007/jhep03(2017)119 · Cited by 257
Ghodrati, M. (2021) · Physical Review D · doi:10.1103/physrevd.104.046004 · Cited by 14
Metadata
- Authors
- Alishahiha, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2015-12-16
- Volume
- 92
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W3038071343
- Cited by
- 263
- References
- 15
- FWCI
- 12.08
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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