Variational quantum eigensolver with fewer qubits
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Scalability in a variatonal quantum eigensolver is limited by both the number of qubits available and the gradient vanishing problem. This paper shows several types of tensor network inspired circuit ansatzes. These are area law entangled, qubit efficient, and experimentally feasible while not having exponential contraction complexity problem as in their classical counterpart.
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Reusing qubits in VQE can represent a virtual N qubit state by R+V < N physical qubits, where R qubits are reusable.
“A recent proposal suggested a VQE method that relies on fewer qubits by re-using some of them (Liu et al. , 2019). The core idea is to represent a virtual N qubit state by R + V < N physical qubits, where R qubits have to be reusable qubits, e.g. they can be measured and re-initialized during the circuit runtime.”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Liu et al. , 2019
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- Authors
- Liu, J.-G., Zhang, Y.-H., Wan, Y., & Wang, L.
- Affiliations
- Chinese Academy of Sciences (CN)
- Tsinghua University (CN)
- Venue
- Physical Review Research
- Publisher
- American Physical Society (APS)
- Published
- 2019-09-24
- Volume
- 1
- Issue
- 2
- ISSN
- 2643-1564 (ISSN-L)
- OpenAlex
- W2912395935
- Cited by
- 166
- References
- 58
- Citations by year
- 2026: 9 · 2025: 17 · 2024: 26 · 2023: 34 · 2022: 30 · 2021: 34 · 2020: 13 · 2019: 3
- FWCI
- 9.23
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Physical Review Research (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Natural Science Foundation of China (11774398)
- Chinese Academy of Sciences (XDB28000000)
- Huawei Technologies (YBN2018095185)
- 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 Mechanics and Applications
- Keywords
- variational quantum eigensolver, area-law entanglement, scalability
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