Cited by 1,422Quantum many-body systemsAdvanced Operator Algebra ResearchAdvanced Condensed Matter Physics

Finitely correlated states on quantum spin chains

Fannes, M., Nachtergaele, B., Werner, R. F.·1992·Communications in Mathematical Physics

Integrity signals

Registry

Crossref · 10.1007/bf02099178

Cites

71 of 71 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The parameterized quantum circuit features a one-dimensional connectivity pattern, making it suitable for representation using a Matrix Product State (MPS).

    “The parameterized quantum circuit in our study features a one-dimensional connectivity pattern, making it suitable for representation using a Matrix Product State (MPS) [56], [57], [58].”
  • The underlying structure of the constructive approach to universal resources for MQC can be described mathematically using matrix-product states or projected-entangled-pairs.

    “The underlying structure of this approach can be described mathematically using the language of matrix-product-states or projected-entangled-pairs 18,86,87 .”

    From Measurement-based quantum computation (2009) · cites this paper as [86]

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Authors
Fannes, M., Nachtergaele, B., & Werner, R. F.
Affiliations
  • KU Leuven (BE)
  • University of Chile (CL)
  • Dublin Institute For Advanced Studies (IE)
Venue
Communications in Mathematical Physics
Published
1992-03
Volume
144
Issue
3
Pages
443-490
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
OpenAlex
W2074426935
Cited by
1,422
References
71
Citations by year
2026: 43 · 2025: 77 · 2024: 74 · 2023: 54 · 2022: 65 · 2021: 71 · 2020: 82 · 2019: 90 · 2018: 73 · 2017: 76 · 2016: 58 · 2015: 76 · 2014: 69 · 2013: 71 · 2012: 49
FWCI
5.06
Type
journal article
Language
en
Open access
closed
Locations
  • Communications in Mathematical Physics (publishedVersion)
  • Project Euclid (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
Keywords
quantum spin chains, translation invariant states, valence bond states, ergodic decomposition, Néel state, exponential decay of correlations, ground state, spectral gap, finite-range interactions, one-dimensional antiferromagnet

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