Reducing the Amount of Single‐Qubit Rotations in VQE and Related Algorithms
Open accessAbstract
With the advent of hybrid quantum classical algorithms using parameterized quantum circuits, the question of how to optimize these algorithms and circuits emerges. In this paper, it is shown that the number of single‐qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. It is also shown that the performance of a variational quantum eigensolver (VQE) is unaffected by a similar decrease in single‐qubit rotations. Relative expressibility and entangling capability are compared across different number of qubits in parameterized quantum circuits. High‐dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore, quantum frequency comb photonics is considered as a platform for such algorithms and it is shown that a relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits can be obtained.
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Several quantum machine learning algorithms based on parameterized quantum circuits have demonstrated superior performance and computational abilities compared to conventional algorithms.
“Several QML algorithms based on PQC have been proposed [21–27], demonstrating superior performance and computational abilities compared to conventional algorithms [28–31].”
From Medical image diagnosis based on adaptive Hybrid Quantum CNN (2023) · cites this paper as [26]
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The Variational Quantum Eigensolver: A review of methods and best practices
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Medical image diagnosis based on adaptive Hybrid Quantum CNN
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- Authors
- Rasmussen, S. E., Loft, N. J. S., Bækkegaard, T., Kues, M., & Zinner, N. T.
- Affiliations
- Aarhus University (DK)
- Leibniz University Hannover (DE)
- Corresponding author
- Rasmussen, Stig Elkjær
- Zinner, Nikolaj Thomas
- Venue
- Advanced Quantum Technologies
- Publisher
- Wiley
- Published
- 2020-10-27
- Volume
- 3
- Issue
- 12
- ISSN
- 2511-9044 (ISSN-L)
- OpenAlex
- W3096545455
- Cited by
- 22
- References
- 14
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 1 · 2023: 1 · 2022: 8 · 2021: 6
- FWCI
- 1.47
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Advanced Quantum Technologies (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- arXiv (Cornell University)
- Funders
- Carlsbergfondet
- Bundesministerium für Bildung und Forschung
- 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 › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- single-qubit rotations, variational quantum eigensolver, variational quantum circuits, circuit optimization, qudits, hybrid quantum-classical algorithms
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