Cited by 80Quantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography

Reinforcement-learning-assisted quantum optimization

Open access
Wauters, Matteo M., Panizon, Emanuele, Mbeng, Glen B., Santoro, Giuseppe E.·2020·Physical Review Research

Abstract

We propose a reinforcement learning (RL) scheme for feedback quantum control within the quantum approximate optimization algorithm (QAOA).We reformulate the QAOA variational minimization as a learning task, where an RL agent chooses the control parameters for the unitaries, given partial information on the system.Such an RL scheme finds a policy converging to the optimal adiabatic solution of the quantum Ising chain that can also be successfully transferred between systems with different sizes, even in the presence of disorder.This allows for immediate experimental verification of our proposal on more complicated models: the RL agent is trained on a small control system, simulated on classical hardware, and then tested on a larger physical sample.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevresearch.2.033446

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The experimental results of machine learning approaches for parameter optimization suggest a high degree of transferability and robustness to noise as well as an increased solution quality.

    “The experimental results suggest a high degree of transferability and robustness to noise as well as an increased solution quality.”

    From Quantum Combinatorial Optimization in the NISQ Era: A Systematic Mapping Study (2024) · cites this paper as [141]

    The Results report that an RL policy trained on a small disordered Ising chain transferred to a larger one, and that adding local optimization improved solution quality. The discussion reports only preliminary robustness to noise in initial-state preparation, not robustness to noise generally. The paper describes simulated tests rather than results from a physical experiment; page numbers are unavailable in our copy. (LLM, conf=0.87)

    Experimental — accuracy not yet measured
  • Methods to conduct classical parameter optimization of a VQA beyond standard classical optimizers comprise machine learning approaches and sequential minimal optimization.

    “Methods to conduct the classical parameter optimization of a VQA that go beyond the standard classical optimizers (cf. [166]) comprise machine learning approaches [51, 75, 76, 141, 143, 146] and sequential minimal optimization [99].”
  • Comparative evaluation studies have demonstrated the character of QAOA as a digitized version of QA.

    “Last, comparative evaluation studies between VQAs and QA have demonstrated (i) the reachability issues of QAOA compared to VQE [10], (ii) the ability of QAOA to harness diabatic processes in contrast to QA [154], (iii) the superiority of QA in terms of performance [142], and (iv) the character of QAOA as a digitized version of QA [141].”

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

The citation lists haven’t been fetched yet

References 27 · Cited by 80

Research works printed but not linked: 30

  1. M. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000).
  2. A. B. Finnila, M. A. Gomez, C. Sebenik, C. Stenson, and J. D. Doll, Chem. Phys. Lett. 219, 343 (1994).
  3. T. Kadowaki and H. Nishimori, Phys. Rev. E 58, 5355 (1998).
  4. J. Brooke, D. Bitko, T. F. Rosenbaum, and G. Aeppli, Science 284, 779 (1999).
  5. G. E. Santoro, R. Martoňák, E. Tosatti, and R. Car, Science 295, 2427 (2002).
  6. G. E. Santoro and E. Tosatti, J. Phys. A: Math. Gen. 39, R393 (2006).
  7. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lund- gren, and D. Preda, Science 292, 472 (2001).
  8. T. Albash and D. A. Lidar, Rev. Mod. Phys. 90, 015002 (2018).
  9. M. W. Johnson et al., Nature 473, 194 (2011).
  10. J. Preskill, Quantum 2, 79 (2018), ISSN 2521-327X.
  11. E. Farhi, J. Goldstone, and S. Gutmann, arXiv e-prints arXiv:1411.4028 (2014), 1411.4028. · arXiv
  12. J. R. McClean, J. Romero, R. Babbush, and A. Aspuru- Guzik, New Journal of Physics 18, 023023 (2016).
  13. S. Lloyd, arXiv e-prints arXiv:1812.11075 (2018), 1812.11075. · arXiv
  14. L. Zhou, S.-T. Wang, S. Choi, H. Pichler, and M. D. Lukin, arXiv e-prints arXiv:1812.01041 (2018), 1812.01041. · arXiv
  15. Mbeng, Glen B. and Fazio, Rosario and Santoro, Giuseppe E., arXiv e-prints arXiv:1906.08948 (2019), 1906.08948. · arXiv
  16. G. Pagano, A. Bapat, P. Becker, K. S. Collins, A. De, P. W. Hess, H. B. Kaplan, A. Kyprianidis, W. L. Tan, C. Baldwin, et al., arXiv e-prints arXiv:1906.02700 (2019), 1906.02700. · arXiv
  17. A. Lucas, Frontiers in Physics 2, 5 (2014).
  18. V. Bapst, L. Foini, F. Krzakala, G. Semerjian, and F. Zamponi, Physics Reports 523, 127 (2013).
  19. J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Babbush, and H. Neven, Nature Communications 9, 4812 (2018), ISSN 2041-1723.
  20. R. S. Sutton and A. G. Barto, Reinforcement Learningi, An Introduction (The MIT Press, 2018), 2nd ed.
  21. J. Kober, J. A. Bagnell, and J. Peters, The International Journal of Robotics Research 32, 1238 (2013).
  22. V. Mnih, K. Kavukcuoglu, D. Silver, A. Graves, I. Antonoglou, D. Wierstra, and M. Riedmiller, arXiv preprint arXiv:1312.5602 (2013). · arXiv
  23. D. Silver, J. Schrittwieser, K. Simonyan, I. Antonoglou, A. Huang, A. Guez, T. Hubert, L. Baker, M. Lai, A. Bolton, et al., Nature 550, 354 (2017).
  24. M. Bukov, A. G. R. Day, D. Sels, P. Weinberg, A. Polkovnikov, and P. Mehta, Phys. Rev. X 8, 031086 (2018).
  25. T. Fösel, P. Tighineanu, T. Weiss, and F. Marquardt, Phys. Rev. X 8, 031084 (2018).
  26. J. Schulman, F. Wolski, P. Dhariwal, A. Radford, and O. Klimov, CoRR abs/1707.06347 (2017), 1707.06347. · arXiv
  27. Z. Wang, S. Hadfield, Z. Jiang, and E. G. Rieffel, Phys. Rev. A 97, 022304 (2018).
  28. J. Nocedal and S. Wright, Numerical optimization (Springer Science & Business Media, 2006).
  29. T. Caneva, R. Fazio, and G. E. Santoro, Phys. Rev. B 76, 144427 (2007).
  30. V. Vitale, G. De Filippis, A. de Candia, A. Tagliacozzo, V. Cataudella, and P. Lucignano, Scientific Reports 9, 13624 (2019).

Authors
Wauters, M. M., Panizon, E., Mbeng, G. B., & Santoro, G. E.
Affiliations
  • Scuola Internazionale Superiore di Studi Avanzati (IT)
  • University of Konstanz (DE)
  • Universität Innsbruck (AT)
  • The Abdus Salam International Centre for Theoretical Physics (ICTP) (IT)
Venue
Physical Review Research
Published
2020-09-18
Volume
2
Issue
3
ISSN
2643-1564 (ISSN-L)
OpenAlex
W3019761397
Cited by
80
References
27
Citations by year
2026: 8 · 2025: 15 · 2024: 14 · 2023: 13 · 2022: 16 · 2021: 10 · 2020: 4
FWCI
4.22
Type
journal article
Language
en
Open access
Locations
  • Physical Review Research (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • SDL (submittedVersion, cc-by)
  • Iris (University of Trento) (submittedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
  • arXiv (Cornell University)
Funders
Horizon 2020 (834402)
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
reinforcement learning, quantum optimization, quantum approximate optimization algorithm, variational minimization, quantum Ising chain, policy transfer, disorder

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review