Ab initio quantum chemistry using the density matrix renormalization group
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In this paper we describe how the density matrix renormalization group can be used for quantum chemical calculations for molecules, as an alternative to traditional methods, such as configuration interaction or coupled cluster approaches. As a demonstration of the potential of this approach, we present results for the H2O molecule in a standard gaussian basis. Results for the total energy of the system compare favorably with the best traditional quantum chemical methods.
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DMRG handles much larger active spaces than conventional active-space methods such as complete active space self-consistent field.
“It handles much larger active spaces than conventional active-space methods such as complete active space self consistent field 116 .”
From Quantum Chemistry in the Age of Quantum Computing (2019) · cites this paper as [116]
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- Authors
- White, S. R., & Martin, R. L.
- Affiliations
- University of California, Irvine (US)
- Los Alamos National Laboratory (US)
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1999-03-01
- Volume
- 110
- Issue
- 9
- Pages
- 4127-4130
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1983879445
- Cited by
- 558
- References
- 6
- Citations by year
- 2026: 27 · 2025: 36 · 2024: 26 · 2023: 38 · 2022: 41 · 2021: 47 · 2020: 37 · 2019: 43 · 2018: 34 · 2017: 34 · 2016: 21 · 2015: 29 · 2014: 27 · 2013: 7 · 2012: 15
- FWCI
- 2.02
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- The Journal of Chemical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- density matrix renormalization group, ab initio quantum chemistry, water molecules, total energy, Gaussian basis sets
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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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