Cited by 90Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyMetaheuristic Optimization Algorithms Research

Benchmarking Quantum Annealing Controls with Portfolio Optimization

Open access
Grant, Erica, Humble, Travis S., Stump, Benjamin·2021·Physical Review Applied

Abstract

Quantum annealing offers an approach to finding the optimal solutions for a variety of computational problems, where the quantum annealing controls influence the observed performance and error mechanisms by tuning the underlying quantum dynamics. However, the influence of the available controls is often poorly understood, and methods for evaluating the effects of these controls are necessary to tune quantum computational performance. Here we use portfolio optimization as a case study by which to benchmark quantum annealing controls and their relative effects on computational accuracy. We compare empirical results from the D-Wave $2000{\mathrm{Q}}^{\mathrm{TM}}$ quantum annealer to the computational ground truth for a variety of portfolio optimization instances. We evaluate both forward and reverse annealing methods and we identify control variations that yield optimal performance in terms of probability of success and probability of chain breaks.

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  • The impact of various quantum controls, such as annealing time and number of spin reversals, on the success probability and chain breaks has been studied by Grant et al., yielding a saturation effect for both controls.

    “The impact of various quantum controls, such as annealing time and number of spin reversals [194], on the success probability and chain breaks has been studied by Grant et al. [55], yielding a saturation effect for both controls.”
  • The success rate of obtaining the optimal solution saturates with increasing annealing time and number of spin reversals.

    “The success rate of obtaining the optimal solution saturates with increasing annealing time and number of spin reversals [55].”

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Research works printed but not linked: 13

  1. M. W. Krentel, in Proceedings of the Eighteenth Annual ACM Symposium on Theory of Computing (Association for Computing Machinery, New York, NY, United States, Berkely, CA US, 1986), p. 69.
  2. E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, Quan- tum computation by adiabatic evolution. arXiv preprint quant-ph/0001106 (2000). · arXiv
  3. H. N. Djidjev, G. Chapuis, G. Hahn, and G. Rizk, Effi- cient combinatorial optimization using quantum annealing. arXiv preprint arXiv:1801.08653 (2018). · arXiv
  4. J. King, S. Yarkoni, M. M. Nevisi, J. P. Hilton, and C. C. McGeoch, Benchmarking a quantum annealing processor with the time-to-target metric. arXiv preprint arXiv:1508.05087 (2015). · arXiv
  5. E. Crosson and A. W. Harrow, in 2016 IEEE 57th Annual Symposium on Foundations of Computer Science (FOCS) (IEEE Computer Society, New Brunswick, NJ, 2016). http://dx.doi.org/10.1109/FOCS.2016.81. · DOI
  6. K. L. Pudenz, in 2016 IEEE high performance extreme computing conference (HPEC) (IEEE, Waltham, MA US, 2016), p. 1.
  7. C. C. McGeoch and C. Wang, in Proceedings of the ACM International Conference on Computing Frontiers (Asso- ciation for Computing Machinery, New York, NY, United States, Ischia, Italy, 2013), p. 1.
  8. M. Marzec, in Handbook of High-Frequency Trading and Modeling in Finance (John Wiley & Sons, Inc., Hoboken, NJ US, 2016), p. 73.
  9. E. Pelofske, G. Hahn, and H. Djidjev, in 2019 IEEE International Conference on Rebooting Computing (ICRC) (IEEE, San Francisco Bay Area, California, 2019), p. 1.
  10. A. D. King and C. C. McGeoch, Algorithm engineer- ing for a quantum annealing platform. arXiv preprint arXiv:1410.2628 (2014). · arXiv
  11. S. Novikov et al., in 2018 IEEE International Conference on Rebooting Computing (ICRC) (IEEE, Tysons, Virginia, USA, 2018), p. 1.
  12. J. Cai, W. G. Macready, and A. Roy, A practical heuristic for finding graph minors, arXiv preprint arXiv:1406.2741 (2014). · arXiv
  13. J. E. Dorband, Extending the d-wave with support for higher precision coefficients, arXiv preprint arXiv: 1807.05244 (2018). · arXiv

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Authors
Grant, E., Humble, T. S., & Stump, B.
Affiliations
Oak Ridge National Laboratory (US)
Venue
Physical Review Applied
Published
2021-01-08
Volume
15
Issue
1
ISSN
2331-7019 (ISSN-L)
OpenAlex
W3040309518
Cited by
90
References
44
Citations by year
2026: 5 · 2025: 23 · 2024: 14 · 2023: 15 · 2022: 21 · 2021: 10 · 2020: 2
FWCI
5.30
Type
journal article
Language
en
Open access
Locations
  • Physical Review Applied (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • Department of Energy (DE-AC05-00OR22725)
  • LLC (DE-AC05-00OR22725)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Computer Science › Artificial Intelligence › Metaheuristic Optimization Algorithms Research
Keywords
quantum annealing, control parameters, portfolio optimization, D-Wave 2000Q, success probability, benchmarking, combinatorial optimization

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