The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Complexity and shock wave geometries
Open accessAbstract
In this paper we refine a conjecture relating the time-dependent size of an Einstein-Rosen bridge (ERB) to the computational complexity of the dual quantum state. Our refinement states that the complexity is proportional to the spatial volume of the ERB. More precisely, up to an ambiguous numerical coefficient, we propose that the complexity is the regularized volume of the largest codimension one surface crossing the bridge, divided by ${G}_{N}{l}_{\mathrm{AdS}}$. We test this conjecture against a wide variety of spherically symmetric shock wave geometries in different dimensions. We find detailed agreement.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
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×
“The construction involved connecting the boundaries by (D − 2)-dimensional surfaces similar to the Ryu-Takayanagi surfaces [16][17] used by Hartman and Maldacena”
MethodA Covariant Holographic Entanglement Entropy Proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · arXiv · doi:10.48550/arxiv.0705.0016 · Cited by 1,822
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-citationEntanglement renormalization and holography
Swingle, B. (2012) · Physical Review D · doi:10.1103/physrevd.86.065007 · Cited by 915
Time evolution of entanglement entropy from black hole interiors
Hartman, T., & Maldacena, J. (2013) · Journal of High Energy Physics · doi:10.1007/jhep05(2013)014 · Cited by 761
Quantum computation vs. firewalls
Harlow, D., & Hayden, P. (2013) · Journal of High Energy Physics · doi:10.1007/jhep06(2013)085 · Cited by 310
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-citationBlack hole chemistry: thermodynamics with Lambda
Kubizňák, D., Mann, R. B., & Teo, M. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aa5c69 · Cited by 847
Hosur, P., Qi, X.-L., Roberts, D. A., & Yoshida, B. (2016) · Journal of High Energy Physics · doi:10.1007/jhep02(2016)004 · Cited by 717
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
Self-citationJerusalem lectures on black holes and quantum information
Harlow, D. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.015002 · Cited by 480
Metadata
- Authors
- Stanford, D., & Susskind, L.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2014-12-11
- Volume
- 90
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2014489580
- Cited by
- 748
- References
- 8
- FWCI
- 10.87
- Type
- journal article
- Language
- en
- Open access
- green
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 ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
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.
