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Colloquium : Quantum annealing and analog quantum computation
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The recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations is reviewed here. The concept is introduced in successive steps through studying the mapping of such computationally hard problems to classical spin-glass problems, quantum spin-glass problems arising with the introduction of quantum fluctuations, and the annealing behavior of the systems as these fluctuations are reduced slowly to zero. This provides a general framework for realizing analog quantum computation.
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“Mean field [85], DFT [86, 87], or DMFT [88], finally, have other limitations, e.g., they are essentially designed for weakly-correlated systems.”
From Can one trust quantum simulators? (2012) · cites this paper as [88]
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Ground-state statistics from annealing algorithms: quantum versus classical approaches
Matsuda, Y., Nishimori, H., & Katzgraber, H. G. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073021 · Cited by 71
Many-body transverse interactions in the quantum annealing of thep-spin ferromagnet
Seoane, B., & Nishimori, H. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/43/435301 · Cited by 75
Metadata
- Authors
- Das, A., & Chakrabarti, B. K.
- Affiliations
- Saha Institute of Nuclear Physics (IN)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2008-09-05
- Volume
- 80
- Issue
- 3
- Pages
- 1061-1081
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W174492123
- Cited by
- 700
- References
- 93
- Citations by year
- 2026: 40 · 2025: 72 · 2024: 54 · 2023: 60 · 2022: 64 · 2021: 62 · 2020: 52 · 2019: 44 · 2018: 44 · 2017: 34 · 2016: 45 · 2015: 34 · 2014: 22 · 2013: 12 · 2012: 19
- FWCI
- 22.16
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- quantum annealing, quantum fluctuations, spin glass, quantum spin glass, combinatorial optimization, annealing behavior
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 ›
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