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Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
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“While algorithms to calculate the partition function of quantum systems on quantum hardware have been proposed, [182] which is not surprising in view of the quantum simulates quantum principle introduced above, extensions of these schemes to compute classical thermal averages are still scarce.”
From Quantum Computing for Molecular Biology** (2023) · cites this paper as [182]
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Research works printed but not linked: 2
- Haferkamp, J., Hangleiter, D., Eisert, J. & Gluza, M. Contracting projected entangled pair states is average-case hard. Preprint at https://arxiv.org/abs/1810.00738 (2018). · arXiv
- Brandão, F. G. & Kastoryano, M. J. Finite correlation length implies efficient preparation of quantum thermal states. Commun. Math. Phys. 365, 1–16 (2019). · DOI
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Metadata
- Authors
- Motta, M., Sun, C., Tan, A. T. K., O’Rourke, M. J., Ye, E., Minnich, A. J., Brandão, F. G. S. L., & Chan, G. K.-L.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Chan, Garnet Kin-Lic
- ORCID
- Venue
- Nature Physics
- Published
- 2019-11-11
- Volume
- 16
- Issue
- 2
- Pages
- 205-210
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2984279929
- Cited by
- 709
- References
- 40
- Citations by year
- 2026: 86 · 2025: 143 · 2024: 140 · 2023: 123 · 2022: 101 · 2021: 75 · 2020: 36 · 2019: 4
- FWCI
- 24.38
- Type
- journal article
- Language
- en
- Update notices
- Open access
- green
- arxiv.org
- Locations
- Nature Physics (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (RAISE-TAQS CCF 1839204, DEG-1745301)
- U.S. Department of Energy (DE- SC0019374)
- U.S. Department of Defense (MURI FA9550-18-1-0095)
- Erika Ye was supported by a Google fellowship.
- 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 › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- quantum imaginary time evolution, ground state, excited states, thermal states, Gibbs measures, Hamiltonian eigenstates, quantum simulation
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