Effects of Quantum Noise on Quantum Approximate Optimization Algorithm
Open accessAbstract
The quantum-classical hybrid algorithm is a promising algorithm with respect to demonstrating the quantum advantage in noisy-intermediate-scale quantum (NISQ) devices. When running such algorithms, effects due to quantum noise are inevitable. In our work, we consider a well-known hybrid algorithm, the quantum approximate optimization algorithm (QAOA). We study the effects on QAOA from typical quantum noise channels, and produce several numerical results. Our research indicates that the output state fidelity, i.e., the cost function obtained from QAOA, decreases exponentially with respect to the number of gates and noise strength. Moreover, we find that when noise is not serious, the optimized parameters will not deviate from their ideal values. Our result provides evidence for the effectiveness of hybrid algorithms running on NISQ devices.
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Ideal parameter values do not deviate when noise is not serious.
“Ideal parameter values do not deviate when noise is not serious [144].”
From Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study (2024) · cites this paper as [144]
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Quantum circuit output prediction based on time-series neural network integration
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Optimally Controlled Non-Adiabatic Quantum State Transmission in the Presence of Quantum Noise
Liang, X.-H., Wu, L.-A., & Wang, Z.-M. (2023) · Photonics · doi:10.3390/photonics10030274 · Cited by 2 · see citing works
Error Analysis of the Variational Quantum Eigensolver Algorithm
Brandhofer, S., Devitt, S. J., & Polian, I. (2021) · IEEE/ACM International Symposium on Nanoscale Architectures (NANOARCH) · doi:10.1109/nanoarch53687.2021.9642249 · Cited by 3 · see citing works
Practical limitations of quantum data propagation on noisy quantum processors
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Lower Bounds on Circuit Depth of the Quantum Approximate Optimization AlgorithmPreprint
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- Authors
- Xue, C., Chen, Z.-Y., Wu, Y.-C., & Guo, G.-P.
- Affiliations
- University of Science and Technology of China (CN)
- Corresponding author
- Guo, Guo-Ping
- Venue
- Chinese Physics Letters
- Publisher
- IOP Publishing
- Published
- 2021-03-01
- Volume
- 38
- Issue
- 3
- Pages
- 030302
- ISSN
- 0256-307X (ISSN-L)
- 1741-3540
- OpenAlex
- W3137702287
- Cited by
- 100
- References
- 23
- Citations by year
- 2026: 8 · 2025: 12 · 2024: 21 · 2023: 15 · 2022: 18 · 2021: 14 · 2020: 12
- FWCI
- 5.96
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Chinese Physics Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Natural Science Foundation of China (11625419)
- Chinese Academy of Sciences (XDB24030600, 2016YFA0301700)
- National Key Research and Development Program of China (2016YFA0301700)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- quantum approximate optimization algorithm, quantum noise, NISQ devices, hybrid quantum-classical algorithms, noise channels, parameter optimization, quantum advantage
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