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Unraveling reverse annealing: A study of D-Wave quantum annealers

Vrinda Mehta1, Hans De Raedt1, Kristel Michielsen1,2,3, and Fengping Jin1

Phys. Rev. A 112, 012414 – Published 14 July, 2025

DOI: https://doi.org/10.1103/vfxh-gjgy

Abstract

D-Wave quantum annealers offer reverse annealing as a feature allowing them to refine solutions to optimization problems. This paper investigates the influence of key parameters, such as annealing times and reversal distance, on the behavior of reverse annealing by studying models containing up to 1000 qubits. Through the analysis of theoretical models and experimental data, we explore the interplay between quantum and classical processes in describing the empirical data. Our findings provide a deeper understanding that can better equip users to fully harness the potential of the D-Wave annealers.

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References (49)

  1. B. Apolloni, C. Carvalho, and D. de Falco, Stoch. Process. Their Appl. 33, 233 (1989).
  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. E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, arXiv:quant-ph/0001106.
  5. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 292, 472 (2001).
  6. D-Wave Systems Inc., D-Wave Leap Quantum Cloud Service, https://docs.dwavesys.com/docs/latest/index.html.
  7. R. Harris, M. W. Johnson, T. Lanting, A. J. Berkley, J. Johansson, P. Bunyk, E. Tolkacheva, E. Ladizinsky, N. Ladizinsky, T. Oh et al., Phys. Rev. B 82, 024511 (2010).
  8. M. W. Johnson, P. Bunyk, F. Maibaum, E. Tolkacheva, A. J. Berkley, E. M. Chapple, R. Harris, J. Johansson, T. Lanting, I. Perminov et al., Supercond. Sci. Technol. 23, 065004 (2010).
  9. M. W. Johnson, M. H. S. Amin, S. Gildert, T. Lanting, F. Hamze, N. Dickson, R. Harris, A. J. Berkley, J. Johansson, P. Bunyk et al., Nature (London) 473, 194 (2011).
  10. K. Karimi, N. G. Dickson, F. Hamze, M. H. S. Amin, M. Drew-Brook, F. A. Chudak, P. I. Bunyk, W. G. Macready, and G. Rose, Quantum Inf. Process. 11, 77 (2012).
  11. S. Boixo, T. F. Rønnow, S. V. Isakov, Z. Wang, D. Wecker, D. A. Lidar, J. M. Martinis, and M. Troyer, Nat. Phys. 10, 218 (2014).
  12. T. F. Rønnow, Z. Wang, J. Job, S. Boixo, S. V. Isakov, D. Wecker, J. M. Martinis, D. A. Lidar, and M. Troyer, Science 345, 420 (2014).
  13. T. Albash and D. A. Lidar, Rev. Mod. Phys. 90, 015002 (2018).
  14. N. G. Dickson and M. H. S. Amin, Phys. Rev. A 85, 032303 (2012).
  15. A. Lucas, Front. Phys. 2, 5 (2014).
  16. D. Venturelli, S. Mandrà, S. Knysh, B. O'Gorman, R. Biswas, and V. Smelyanskiy, Phys. Rev. X 5, 031040 (2015).
  17. Z. Bian, F. Chudak, R. B. Israel, B. Lackey, W. G. Macready, and A. Roy, Front. ICT 3, 196706 (2016).
  18. H. Ushijima-Mwesigwa, C. F. A. Negre, and S. M. Mniszewski, in Proceedings of the Second International Workshop on Post Moore's Era Supercomputing (Association for Computing Machinery, New York, 2017), pp. 22–29.
  19. F. Neukart, G. Compostella, C. Seidel, D. Von Dollen, S. Yarkoni, and B. Parney, Front. ICT 4, 29 (2017).
  20. D. O'Malley, V. V. Vesselinov, B. S. Alexandrov, and L. B. Alexandrov, PLoS ONE 13, e0206653 (2018).
  21. H. N. Djidjev, G. Chapuis, G. Hahn, and G. Rizk, arXiv:1801.08653.
  22. T. Stollenwerk, E. Lobe, and M. Jung, in Quantum Technology and Optimization Problems, edited by S. Feld and C. Linnhoff-Popien (Springer International Publishing, Cham, 2019), pp. 99–110.
  23. M. Willsch, D. Willsch, F. Jin, H. De Raedt, and K. Michielsen, Quantum Inf. Process. 19, 197 (2020).
  24. C. D. G. Calaza, D. Willsch, and K. Michielsen, Quantum Info. Proc. 20, 1 (2021).
  25. D. Willsch, M. Willsch, C. D. Gonzalez Calaza, F. Jin, H. De Raedt, M. Svensson, and K. Michielsen, Quantum Info. Proc. 21, 141 (2022).
  26. J. A. Montanez-Barrera, P. van den Heuvel, D. Willsch, and K. Michielsen, in Proceedings of the 2023 IEEE International Conference on Quantum Computing and Engineering (QCE) (IEEE, New York, 2023), Vol. 1, pp. 535–542.
  27. J. A. Montanez-Barrera, D. Willsch, A. Maldonado-Romo, and K. Michielsen, Quantum Sci. Technol. 9, 025022 (2024).
  28. S. Boixo, T. Albash, F. M. Spedalieri, N. Chancellor, and D. A. Lidar, Nat. Commun. 4, 2067 (2013).
  29. K. L. Pudenz, T. Albash, and D. A. Lidar, Nat. Commun. 5, 3243 (2014).
  30. T. Lanting, A. J. Przybysz, A. Y. Smirnov, F. M. Spedalieri, M. H. Amin, A. J. Berkley, R. Harris, F. Altomare, S. Boixo, P. Bunyk et al., Phys. Rev. X 4, 021041 (2014).
  31. S. Boixo, V. N. Smelyanskiy, A. Shabani, S. V. Isakov, M. Dykman, V. S. Denchev, M. Amin, A. Smirnov, M. Mohseni, and H. Neven, arXiv:1411.4036.
  32. Y. Bando, Y. Susa, H. Oshiyama, N. Shibata, M. Ohzeki, F. J. Gómez-Ruiz, D. A. Lidar, S. Suzuki, A. Del Campo, and H. Nishimori, Phys. Rev. Res. 2, 033369 (2020).
  33. A. D. King, J. Raymond, T. Lanting, R. Harris, A. Zucca, F. Altomare, A. J. Berkley, K. Boothby, S. Ejtemaee, C. Enderud et al., Nature (London) 617, 61 (2023).
  34. A. Lopez-Bezanilla, J. Raymond, K. Boothby, J. Carrasquilla, C. Nisoli, and A. D. King, Nat. Commun. 14, 1105 (2023).
  35. A. Lopez-Bezanilla, A. D. King, C. Nisoli, and A. Saxena, Nat. Commun. 15, 589 (2024).
  36. A. D. King, A. Nocera, M. M. Rams, J. Dziarmaga, R. Wiersema, W. Bernoudy, J. Raymond, N. Kaushal, N. Heinsdorf, R. Harris et al., Science 388, 199 (2025).
  37. J. Vodeb, J. Desaules, A. Hallam, A. Rava, G. Humar, D. Willsch, M. Willsch, F. Jin, K. Michielsen, and Z. Papić, Nat. Phys. (2025).
  38. D-Wave Systems, Reverse quantum annealing for local refinement of solutions, Technical Report, D-Wave Whitepaper Series, 14-1018A-A (D-Wave Systems, 2017).
  39. D. Venturelli and A. Kondratyev, Quantum Mach. Intell. 1, 17 (2019).
  40. G. Passarelli, K.-W. Yip, D. A. Lidar, H. Nishimori, and P. Lucignano, Phys. Rev. A 101, 022331 (2020).
  41. L. Rocutto, C. Destri, and E. Prati, Adv. Quantum Technol. 4, 2000133 (2021).
  42. M. S. Jattana, Quantum Rep. 6, 452 (2024).
  43. V. Mehta, H. De Raedt, K. Michielsen, and F. Jin, Phys. Rev. A 112, 012405 (2025).
  44. V. Mehta, F. Jin, H. De Raedt, and K. Michielsen, Phys. Rev. A 104, 032421 (2021).
  45. V. Mehta, F. Jin, H. De Raedt, and K. Michielsen, Phys. Rev. A 105, 062406 (2022).
  46. G. Lindblad, Commun. Math. Phys. 48, 119 (1976).
  47. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
  48. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, New York, 2002).
  49. Jülich Supercomputing Centre, J. Large-Scale Res. Facilities 5, A135 (2019).

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