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  • Open Access

Environment-Assisted Generation of Non-Gaussian Wave-Packet Quantum States

Maryam Khanahmadi1,* and Klaus Mølmer2

  • *Contact author: m.khanahmadi@chalmers.se
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Phys. Rev. Lett. 137, 020802 – Published 7 July, 2026

DOI: https://doi.org/10.1103/dtd2-4vpn

Abstract

Generating non-Gaussian states and converting them into traveling wave packets is crucial yet challenging for scalable, fault-tolerant quantum computing. We present a hardware-efficient approach that simultaneously achieves both tasks by combining an engineered nonlinear dissipation with a linear transmission loss from a superconducting circuit to a waveguide. This combination of dissipative channels leverages low-order interactions to induce a high-order nonlinearity, enabling deterministic emission of a wide range of non-Gaussian, error-correctable states, such as Schrödinger cat states, Gottesman-Kitaev-Preskill states, and pair-cat states. We identify experimental superconducting-circuit platforms and realistic parameter regimes for our proposal.

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References (68)

  1. H. J. Kimble, Nature (London) 453, 1023 (2008).
  2. P. Campagne-Ibarcq, E. Zalys-Geller, A. Narla, S. Shankar, P. Reinhold, L. Burkhart, C. Axline, W. Pfaff, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Phys. Rev. Lett. 120, 200501 (2018).
  3. C. J. Axline, L. D. Burkhart, W. Pfaff, M. Zhang, K. Chou, P. Campagne-Ibarcq, P. Reinhold, L. Frunzio, S. Girvin, L. Jiang et al., Nat. Phys. 14, 705 (2018).
  4. P. Kurpiers, M. Pechal, B. Royer, P. Magnard, T. Walter, J. Heinsoo, Y. Salathé, A. Akin, S. Storz, J.-C. Besse, S. Gasparinetti, A. Blais, and A. Wallraff, Phys. Rev. Appl. 12, 044067 (2019).
  5. J. Yang, M. Khanahmadi, I. Strandberg, A. Gaikwad, C. Castillo-Moreno, A. F. Kockum, M. A. Ullah, G. Johansson, A. M. Eriksson, and S. Gasparinetti, Phys. Rev. Lett. 134, 240803 (2025).
  6. Z. Leghtas, G. Kirchmair, B. Vlastakis, R. J. Schoelkopf, M. H. Devoret, and M. Mirrahimi, Phys. Rev. Lett. 111, 120501 (2013).
  7. L. Li, C.-L. Zou, V. V. Albert, S. Muralidharan, S. M. Girvin, and L. Jiang, Phys. Rev. Lett. 119, 030502 (2017).
  8. B. M. Terhal, J. Conrad, and C. Vuillot, Quantum Sci. Technol. 5, 043001 (2020).
  9. K. Noh and C. Chamberland, Phys. Rev. A 101, 012316 (2020).
  10. A. Joshi, K. Noh, and Y. Y. Gao, Quantum Sci. Technol. 6, 033001 (2021).
  11. J. E. Bourassa, R. N. Alexander, M. Vasmer, A. Patil, I. Tzitrin, T. Matsuura, D. Su, B. Q. Baragiola, S. Guha, G. Dauphinais et al., Quantum 5, 392 (2021).
  12. A. Ourjoumtsev, R. Tualle-Brouri, J. Laurat, and P. Grangier, Science 312, 83 (2006).
  13. K. Wakui, H. Takahashi, A. Furusawa, and M. Sasaki, Opt. Express 15, 3568 (2007).
  14. T. Serikawa, J. I. Yoshikawa, S. Takeda, H. Yonezawa, T. C. Ralph, E. H. Huntington, and A. Furusawa, Phys. Rev. Lett. 121, 143602 (2018).
  15. S. Deleglise, I. Dotsenko, C. Sayrin, J. Bernu, M. Brune, J.-M. Raimond, and S. Haroche, Nature (London) 455, 510 (2008).
  16. B. Hacker, S. Welte, S. Daiss, A. Shaukat, S. Ritter, L. Li, and G. Rempe, Nat. Photonics 13, 110 (2019).
  17. B. Vlastakis, G. Kirchmair, Z. Leghtas, S. E. Nigg, L. Frunzio, S. M. Girvin, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, Science 342, 607 (2013).
  18. M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, and M. H. Devoret, New J. Phys. 16, 045014 (2014).
  19. M. Mirrahimi, C.R. Phys. 17, 778 (2016).
  20. X. He, Y. Lu, D. Bao, H. Xue, W. Jiang, Z. Wang, A. Roudsari, P. Delsing, J. Tsai, and Z. Lin, Nat. Commun. 14, 6358 (2023).
  21. W. Pfaff, C. J. Axline, L. D. Burkhart, U. Vool, P. Reinhold, L. Frunzio, L. Jiang, M. H. Devoret, and R. J. Schoelkopf, Nat. Phys. 13, 882 (2017).
  22. M. Khanahmadi, M. M. Lund, K. Mølmer, and G. Johansson, Phys. Rev. Res. 5, 043071 (2023).
  23. H. Goto, Z. Lin, T. Yamamoto, and Y. Nakamura, Phys. Rev. A 99, 023838 (2019).
  24. F. Verstraete, M. M. Wolf, and J. Ignacio Cirac, Nat. Phys. 5, 633 (2009).
  25. Y. Liu, S. Shankar, N. Ofek, M. Hatridge, A. Narla, K. M. Sliwa, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Phys. Rev. X 6, 011022 (2016).
  26. E. Kapit, Quantum Sci. Technol. 2, 033002 (2017).
  27. F. Reiter, L. Tornberg, G. Johansson, and A. S. Sørensen, Phys. Rev. A 88, 032317 (2013).
  28. D. D. Bhaktavatsala Rao and K. Mølmer, Phys. Rev. Lett. 111, 033606 (2013).
  29. M. Wolinsky and H. J. Carmichael, Phys. Rev. Lett. 60, 1836 (1988).
  30. Z. Leghtas, S. Touzard, I. M. Pop, A. Kou, B. Vlastakis, A. Petrenko, K. M. Sliwa, A. Narla, S. Shankar, M. J. Hatridge et al., Science 347, 853 (2015).
  31. F. Minganti, N. Bartolo, J. Lolli, W. Casteels, and C. Ciuti, Sci. Rep. 6, 26987 (2016).
  32. S. Touzard, A. Grimm, Z. Leghtas, S. O. Mundhada, P. Reinhold, C. Axline, M. Reagor, K. Chou, J. Blumoff, K. M. Sliwa, S. Shankar, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, and M. H. Devoret, Phys. Rev. X 8, 021005 (2018).
  33. P. M. Harrington, E. J. Mueller, and K. W. Murch, Nat. Rev. Phys. 4, 660 (2022).
  34. R. Lescanne, M. Villiers, T. Peronnin, A. Sarlette, M. Delbecq, B. Huard, T. Kontos, M. Mirrahimi, and Z. Leghtas, Nat. Phys. 16, 509 (2020).
  35. U. Réglade, A. Bocquet, R. Gautier, J. Cohen, A. Marquet, E. Albertinale, N. Pankratova, M. Hallén, F. Rautschke, L.-A. Sellem et al., Nature (London) 629, 778 (2024).
  36. A. Marquet, S. Dupouy, U. Réglade, A. Essig, J. Cohen, E. Albertinale, A. Bienfait, T. Peronnin, S. Jezouin, R. Lescanne, and B. Huard, Phys. Rev. Appl. 22, 034053 (2024).
  37. R. Gautier, A. Sarlette, and M. Mirrahimi, PRX Quantum 3, 020339 (2022).
  38. A. del Campo, Phys. Rev. Lett. 111, 100502 (2013).
  39. See Supplemental Material at http://link.aps.org/supplemental/10.1103/dtd2-4vpn for detailed derivations and additional discussion, which includes Refs. [40–42].
  40. S. E. Nigg, H. Paik, B. Vlastakis, G. Kirchmair, S. Shankar, L. Frunzio, M. H. Devoret, R. J. Schoelkopf, and S. M. Girvin, Phys. Rev. Lett. 108, 240502 (2012).
  41. A. Vanselow, B. Beauseigneur, L. Lattier, M. Villiers, A. Denis, P. Morfin, Z. Leghtas, and P. Campagne-Ibarcq, Phys. Rev. X 16, 011032 (2026).
  42. K. Takase, F. Hanamura, H. Nagayoshi, J. E. Bourassa, R. N. Alexander, A. Kawasaki, W. Asavanant, M. Endo, and A. Furusawa, Phys. Rev. A 110, 012436 (2024).
  43. M. H. Devoret and J. M. Martinis, Experimental Aspects of Quantum Computing (Springer, New York, 2005), p. 163.
  44. A. Miano, G. Liu, V. Sivak, N. Frattini, V. Joshi, W. Dai, L. Frunzio, and M. Devoret, Appl. Phys. Lett. 120, 184002 (2022).
  45. R. Lescanne, L. Verney, Q. Ficheux, M. H. Devoret, B. Huard, M. Mirrahimi, and Z. Leghtas, Phys. Rev. Appl. 11, 014030 (2019).
  46. K. Duivenvoorden, B. M. Terhal, and D. Weigand, Phys. Rev. A 95, 012305 (2017).
  47. M. Khanahmadi and K. Mølmer, Phys. Rev. A 107, 013705 (2023).
  48. L. Gravina, F. Minganti, and V. Savona, PRX Quantum 4, 020337 (2023).
  49. D. Gottesman, A. Kitaev, and J. Preskill, Phys. Rev. A 64, 012310 (2001).
  50. I. Rojkov, M. Simoni, E. Zapusek, F. Reiter, and J. Home, Phys. Rev. X 16, 011056 (2026).
  51. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
  52. C. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics (Springer, New York, 2004).
  53. A. H. Kiilerich and K. Mølmer, Phys. Rev. Lett. 123, 123604 (2019).
  54. J. Combes, J. Kerckhoff, and M. Sarovar, Adv. Phys. X 2, 784 (2017).
  55. D. J. Weigand and B. M. Terhal, Phys. Rev. A 97, 022341 (2018).
  56. B. Q. Baragiola, G. Pantaleoni, R. N. Alexander, A. Karanjai, and N. C. Menicucci, Phys. Rev. Lett. 123, 200502 (2019).
  57. C. Vuillot, H. Asasi, Y. Wang, L. P. Pryadko, and B. M. Terhal, Phys. Rev. A 99, 032344 (2019).
  58. P. Campagne-Ibarcq, A. Eickbusch, S. Touzard, E. Zalys-Geller, N. E. Frattini, V. V. Sivak, P. Reinhold, S. Puri, S. Shankar, R. J. Schoelkopf et al., Nature (London) 584, 368 (2020).
  59. M. V. Larsen, C. Chamberland, K. Noh, J. S. Neergaard-Nielsen, and U. L. Andersen, PRX Quantum 2, 030325 (2021).
  60. A. L. Grimsmo and S. Puri, PRX Quantum 2, 020101 (2021).
  61. K. Noh, C. Chamberland, and F. G. S. L. Brandão, PRX Quantum 3, 010315 (2022).
  62. V. V. Albert, K. Noh, K. Duivenvoorden, D. J. Young, R. T. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen, S. M. Girvin, B. M. Terhal, and L. Jiang, Phys. Rev. A 97, 032346 (2018).
  63. Y. Zheng, A. Ferraro, A. F. Kockum, and G. Ferrini, Phys. Rev. A 108, 012603 (2023).
  64. G. S. Agarwal, J. Opt. Soc. Am. B 5, 1940 (1988).
  65. S.-C. Gou, J. Steinbach, and P. L. Knight, Phys. Rev. A 54, 4315 (1996).
  66. V. V. Albert, S. O. Mundhada, A. Grimm, S. Touzard, M. H. Devoret, and L. Jiang, Quantum Sci. Technol. 4, 035007 (2019).
  67. M. Yuan, Q. Xu, and L. Jiang, Phys. Rev. A 106, 062422 (2022).
  68. J. M. Gertler, S. van Geldern, S. Shirol, L. Jiang, and C. Wang, PRX Quantum 4, 020319 (2023).

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Phys. Rev. Lett. 137, 020802– Published 7 July, 2026
  • Received 23 April 2025
  • Accepted 4 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by Bibsam.

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