The DOI matches its Crossref record; 46 of the 46 references it cites were found in a registry or an index.
Toward a Definition of Complexity for Quantum Field Theory States
Open accessAbstract
We investigate notions of complexity of states in continuous many-body quantum systems. We focus on Gaussian states which include ground states of free quantum field theories and their approximations encountered in the context of the continuous version of the multiscale entanglement renormalization ansatz. Our proposal for quantifying state complexity is based on the Fubini-Study metric. It leads to counting the number of applications of each gate (infinitesimal generator) in the transformation, subject to a state-dependent metric. We minimize the defined complexity with respect to momentum-preserving quadratic generators which form su(1,1) algebras. On the manifold of Gaussian states generated by these operations, the Fubini-Study metric factorizes into hyperbolic planes with minimal complexity circuits reducing to known geodesics. Despite working with quantum field theories far outside the regime where Einstein gravity duals exist, we find striking similarities between our results and those of holographic complexity proposals.
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
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 SupergravityPreprint
Maldacena, J. (1998) · Cited by 11,886
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
Generalized Coherent States and Their Applications
Perelomov, A. (1986) · Springer eBooks · doi:10.1007/978-3-642-61629-7 · Cited by 3,507
Coherent states for arbitrary Lie group
Perelomov, A. M. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645091 · Cited by 1,304
Building up spacetime with quantum entanglement
Van Raamsdonk, M. (2010) · General Relativity and Gravitation · doi:10.1007/s10714-010-1034-0 · Cited by 1,108
Entanglement renormalization and holography
Swingle, B. (2012) · Physical Review D · doi:10.1103/physrevd.86.065007 · Cited by 915
Riemannian structure on manifolds of quantum states
Provost, J. P., & Vallee, G. (1980) · Communications in Mathematical Physics · doi:10.1007/bf02193559 · Cited by 886
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
Cited by
Holographic complexity equals which action?
Goto, K., Marrochio, H., Myers, R. C., Queimada, L., & Yoshida, B. (2019) · Journal of High Energy Physics · doi:10.1007/jhep02(2019)160 · Cited by 121
Self-citationThe volume of the black hole interior at late times
Iliesiu, L. V., Mezei, M., & Sárosi, G. (2022) · Journal of High Energy Physics · doi:10.1007/jhep07(2022)073 · Cited by 96
Metadata
- Authors
- Chapman, S., Heller, M. P., Marrochio, H., & Pastawski, F.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-03-22
- Volume
- 120
- Issue
- 12
- Pages
- 121602-121602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2741759353
- Cited by
- 403
- References
- 46
- FWCI
- 24.89
- Type
- journal article
- Language
- en
- Open access
- hybrid
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Toward a Definition of Complexity for Quantum Field Theory States. https://app.cochat.ai/papers/10.1103/physrevlett.120.121602
- The paper
- Chapman, S., Heller, M. P., Marrochio, H., & Pastawski, F. (2018). Toward a Definition of Complexity for Quantum Field Theory States. Physical Review Letters. https://doi.org/10.1103/physrevlett.120.121602
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.
