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Fluxonium as a Control Qubit for Bosonic Quantum Information

Ke Nie1, J. Nofear Bradford1, Supriya Mandal1, Aayam Bista1, Wolfgang Pfaff1,2,3,4,*, and Angela Kou1,2,3

  • *Contact author: wpfaff@illinois.edu

PRX Quantum 7, 010357 – Published 20 March, 2026

DOI: https://doi.org/10.1103/dgwk-w3jj

Abstract

Bosonic codes in superconducting resonators are a hardware-efficient avenue for quantum error correction and benefit from the inherent bias toward relaxation errors provided by long-lived cavities compared to typical superconducting qubits. The required coupling to an ancillary control qubit, however, can negate these benefits by inducing highly detrimental effects such as excess decoherence and undesired nonlinearities. This is exemplified by the typically employed transmon qubit that imposes limits on cavity operations due to its finite lifetime as well as the inevitably induced self-Kerr nonlinearity. An important question is thus whether a cavity-qubit coupling can be realized that offers readout and control capabilities without spoiling the cavity. Here, motivated by its long lifetime and design flexibility of its Hamiltonian, we experimentally investigate the fluxonium as a control qubit for superconducting cavities. We couple a fluxonium qubit to a superconducting resonator in the strong-dispersive regime and use it to measure the coherence and flux-tunable inherited nonlinearities of the resonator. We then demonstrate quantum control of the oscillator by preparing and characterizing resonator Fock states and their superpositions, with fidelities limited by resonator decay in our planar prototype device. Finally, we show that the fluxonium can realize cavity-couplings that eliminate undesirable cavity nonlinearities and reach regimes of suppressed self-Kerr that are inaccessible to transmon-based devices. Our results thus demonstrate the potential of the fluxonium as a high-performance bosonic control qubit for superconducting cavities that can outperform existing transmon-based architectures.

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References (66)

  1. D. Vitali, P. Tombesi, and G. J. Milburn, Quantum-state protection in cavities, Phys. Rev. A 57, 4930 (1998).
  2. D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A 64, 012310 (2001).
  3. S. Zippilli, D. Vitali, P. Tombesi, and J.-M. Raimond, Scheme for decoherence control in microwave cavities, Phys. Rev. A 67, 052101 (2003).
  4. M. H. Michael, M. Silveri, R. T. Brierley, V. V. Albert, J. Salmilehto, L. Jiang, and S. M. Girvin, New class of quantum error-correcting codes for a bosonic mode, Phys. Rev. X 6, 031006 (2016).
  5. W. Cai, Y. Ma, W. Wang, C.-L. Zou, and L. Sun, Bosonic quantum error correction codes in superconducting quantum circuits, Fundam. Res. 1, 50 (2021).
  6. W.-L. Ma, S. Puri, R. J. Schoelkopf, M. H. Devoret, S. Girvin, and L. Jiang, Quantum control of bosonic modes with superconducting circuits, Sci. Bull. 66, 1789 (2021).
  7. M. Reagor, W. Pfaff, C. Axline, R. W. Heeres, N. Ofek, K. Sliwa, E. Holland, C. Wang, J. Blumoff, K. Chou, M. J. Hatridge, L. Frunzio, M. H. Devoret, L. Jiang, and R. J. Schoelkopf, Quantum memory with millisecond coherence in circuit QED, Phys. Rev. B 94, 014506 (2016).
  8. S. Chakram, A. E. Oriani, R. K. Naik, A. V. Dixit, K. He, A. Agrawal, H. Kwon, and D. I. Schuster, Seamless high-Q microwave cavities for multimode circuit quantum electrodynamics, Phys. Rev. Lett. 127, 107701 (2021).
  9. O. Milul, B. Guttel, U. Goldblatt, S. Hazanov, L. M. Joshi, D. Chausovsky, N. Kahn, E. Çiftyürek, F. Lafont, and S. Rosenblum, Superconducting cavity qubit with tens of milliseconds single-photon coherence time, PRX Quantum 4, 030336 (2023).
  10. M. Reagor, H. Paik, G. Catelani, L. Sun, C. Axline, E. Holland, I. M. Pop, N. A. Masluk, T. Brecht, L. Frunzio, M. H. Devoret, L. Glazman, and R. J. Schoelkopf, Reaching 10 ms single photon lifetimes for superconducting aluminum cavities, Appl. Phys. Lett. 102, 192604 (2013).
  11. S. Rosenblum, P. Reinhold, M. Mirrahimi, L. Jiang, L. Frunzio, and R. J. Schoelkopf, Fault-tolerant detection of a quantum error, Science 361, 266 (2018).
  12. J. Huang, T. J. DiNapoli, G. Rockwood, M. Yuan, P. Narasimhan, E. Gupta, M. Bal, F. Crisa, S. Garattoni, Y. Lu, L. Jiang, and S. Chakram, Fast sideband control of a weakly coupled multimode bosonic memory, arXiv:2503.10623.
  13. C. K. Law and J. H. Eberly, Arbitrary control of a quantum electromagnetic field, Phys. Rev. Lett. 76, 1055 (1996).
  14. S. Lloyd and S. L. Braunstein, Quantum computation over continuous variables, Phys. Rev. Lett. 82, 1784 (1999).
  15. M. Hofheinz, H. Wang, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. D. O’Connell, D. Sank, J. Wenner, J. M. Martinis, and A. N. Cleland, Synthesizing arbitrary quantum states in a superconducting resonator, Nature 459, 546 (2009).
  16. S. Krastanov, V. V. Albert, C. Shen, C.-L. Zou, R. W. Heeres, B. Vlastakis, R. J. Schoelkopf, and L. Jiang, Universal control of an oscillator with dispersive coupling to a qubit, Phys. Rev. A 92, 040303(R) (2015).
  17. L. G. Lutterbach and L. Davidovich, Method for direct measurement of the Wigner function in cavity QED and ion traps, Phys. Rev. Lett. 78, 2547 (1997).
  18. P. Bertet, A. Auffeves, P. Maioli, S. Osnaghi, T. Meunier, M. Brune, J. M. Raimond, and S. Haroche, Direct measurement of the Wigner function of a one-photon Fock state in a cavity, Phys. Rev. Lett. 89, 200402 (2002).
  19. B. Vlastakis, G. Kirchmair, Z. Leghtas, S. E. Nigg, L. Frunzio, S. M. Girvin, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, Deterministically encoding quantum information using 100-photon schrodinger cat states, Science 342, 607 (2013).
  20. R. W. Heeres, P. Reinhold, N. Ofek, L. Frunzio, L. Jiang, M. H. Devoret, and R. J. Schoelkopf, Implementing a universal gate set on a logical qubit encoded in an oscillator, Nat. Commun. 8, 94 (2017).
  21. S. Chakram, K. He, A. V. Dixit, A. E. Oriani, R. K. Naik, N. Leung, H. Kwon, W.-L. Ma, L. Jiang, and D. I. Schuster, Multimode photon blockade, Nat. Phys. 18, 879 (2022).
  22. G. Kirchmair, B. Vlastakis, Z. Leghtas, S. E. Nigg, H. Paik, E. Ginossar, M. Mirrahimi, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, Observation of quantum state collapse and revival due to the single-photon Kerr effect, Nature 495, 205 (2013).
  23. N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. M. Girvin, L. Jiang, M. Mirrahimi, M. H. Devoret, and R. J. Schoelkopf, Extending the lifetime of a quantum bit with error correction in superconducting circuits, Nature 536, 441 (2016).
  24. J. M. Gertler, B. Baker, J. Li, S. Shirol, J. Koch, and C. Wang, Protecting a bosonic qubit with autonomous quantum error correction, Nature 590, 243 (2021).
  25. V. V. Sivak, A. Eickbusch, B. Royer, S. Singh, I. Tsioutsios, S. Ganjam, A. Miano, B. L. Brock, A. Z. Ding, L. Frunzio, S. M. Girvin, R. J. Schoelkopf, and M. H. Devoret, Real-time quantum error correction beyond break-even, Nature 616, 50 (2023).
  26. Z. Ni, S. Li, X. Deng, Y. Cai, L. Zhang, W. Wang, Z.-B. Yang, H. Yu, F. Yan, S. Liu, C.-L. Zou, L. Sun, S.-B. Zheng, Y. Xu, and D. Yu, Beating the break-even point with a discrete-variable-encoded logical qubit, Nature 616, 56 (2023).
  27. R. Lescanne, M. Villiers, T. Peronnin, A. Sarlette, M. Delbecq, B. Huard, T. Kontos, M. Mirrahimi, and Z. Leghtas, Exponential suppression of bit-flips in a qubit encoded in an oscillator, Nat. Phys. 16, 509 (2020).
  28. C. Berdou et al., One hundred second bit-flip time in a two-photon dissipative oscillator, PRX Quantum 4, 020350 (2023).
  29. A. Eickbusch, V. Sivak, A. Z. Ding, S. S. Elder, S. R. Jha, J. Venkatraman, B. Royer, S. M. Girvin, R. J. Schoelkopf, and M. H. Devoret, Fast universal control of an oscillator with weak dispersive coupling to a qubit, Nat. Phys. 18, 1464 (2022).
  30. H. Putterman et al., Hardware-efficient quantum error correction via concatenated bosonic qubits, Nature 638, 927 (2025).
  31. A. Vrajitoarea, Z. Huang, P. Groszkowski, J. Koch, and A. A. Houck, Quantum control of an oscillator using a stimulated Josephson nonlinearity, Nat. Phys. 16, 211 (2020).
  32. A. Grimm, N. E. Frattini, S. Puri, S. O. Mundhada, S. Touzard, M. Mirrahimi, S. M. Girvin, S. Shankar, and M. H. Devoret, Stabilization and operation of a Kerr-cat qubit, Nature 584, 205 (2020).
  33. A. Z. Ding, B. L. Brock, A. Eickbusch, A. Koottandavida, N. E. Frattini, R. G. Cortiñas, V. R. Joshi, S. J. De Graaf, B. J. Chapman, S. Ganjam, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Quantum control of an oscillator with a Kerr-cat qubit, Nat. Commun. 16, 5279 (2025).
  34. U. Réglade, A. Bocquet, R. Gautier, J. Cohen, A. Marquet, E. Albertinale, N. Pankratova, M. Hallén, F. Rautschke, L.-A. Sellem, P. Rouchon, A. Sarlette, M. Mirrahimi, P. Campagne-Ibarcq, R. Lescanne, S. Jezouin, and Z. Leghtas, Quantum control of a cat qubit with bit-flip times exceeding ten seconds, Nature 629, 778 (2024).
  35. V. E. Manucharyan, J. Koch, L. I. Glazman, and M. H. Devoret, Fluxonium: Single Cooper-pair circuit free of charge offsets, Science 326, 113 (2009).
  36. A. Somoroff, Q. Ficheux, R. A. Mencia, H. Xiong, R. Kuzmin, and V. E. Manucharyan, Millisecond coherence in a superconducting qubit, Phys. Rev. Lett. 130, 267001 (2023).
  37. L. Ding, M. Hays, Y. Sung, B. Kannan, J. An, A. Di Paolo, A. H. Karamlou, T. M. Hazard, K. Azar, D. K. Kim, B. M. Niedzielski, A. Melville, M. E. Schwartz, J. L. Yoder, T. P. Orlando, S. Gustavsson, J. A. Grover, K. Serniak, and W. D. Oliver, High-fidelity, frequency-flexible two-qubit fluxonium gates with a transmon coupler, Phys. Rev. X 13, 031035 (2023).
  38. F. Wang et al., High coherence fluxonium manufactured with a wafer-scale uniformity process, Phys. Rev. Appl. 23, 044064 (2025).
  39. D. G. Atanasova, I. Yang, T. Hönigl-Decrinis, D. Gusenkova, I. Pop, and G. Kirchmair, In Situ tunable interaction with an invertible sign between a fluxonium and a post cavity, PRX Quantum 6, 020318 (2025).
  40. Nathan R. A. Lee, Y. Guo, A. Y. Cleland, E. A. Wollack, R. G. Gruenke, T. Makihara, Z. Wang, T. Rajabzadeh, W. Jiang, F. M. Mayor, P. Arrangoiz-Arriola, C. J. Sarabalis, and A. H. Safavi-Naeini, Strong dispersive coupling between a mechanical resonator and a fluxonium superconducting qubit, PRX Quantum 4, 040342 (2023).
  41. G. Zhu, D. G. Ferguson, V. E. Manucharyan, and J. Koch, Circuit QED with fluxonium qubits: Theory of the dispersive regime, Phys. Rev. B 87, 024510 (2013).
  42. W. C. Smith, A. Kou, U. Vool, I. M. Pop, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Quantization of inductively shunted superconducting circuits, Phys. Rev. B 94, 144507 (2016).
  43. D. I. Schuster, A. A. Houck, J. A. Schreier, A. Wallraff, J. M. Gambetta, A. Blais, L. Frunzio, J. Majer, B. Johnson, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Resolving photon number states in a superconducting circuit, Nature 445, 515 (2007).
  44. R. W. Heeres, B. Vlastakis, E. Holland, S. Krastanov, V. V. Albert, L. Frunzio, L. Jiang, and R. J. Schoelkopf, Cavity state manipulation using photon-number selective phase gates, Phys. Rev. Lett. 115, 137002 (2015).
  45. J. Landgraf, C. Flühmann, T. Fösel, F. Marquardt, and R. J. Schoelkopf, Fast quantum control of cavities using an improved protocol without coherent errors, Phys. Rev. Lett. 133, 260802 (2024).
  46. G. Zheng, S. Lieu, E. L. Rosenfeld, K. Noh, and C. T. Hann, Cross-resonance control of an oscillator with an auxiliary fluxonium qubit, Phys. Rev. Appl. 23, 024067 (2025).
  47. A. M. Eriksson, T. Sépulcre, M. Kervinen, T. Hillmann, M. Kudra, S. Dupouy, Y. Lu, M. Khanahmadi, J. Yang, C. Castillo-Moreno, P. Delsing, and S. Gasparinetti, Universal control of a bosonic mode via drive-activated native cubic interactions, Nat. Commun. 15, 2512 (2024).
  48. W. Pfaff, C. J. Axline, L. D. Burkhart, U. Vool, P. Reinhold, L. Frunzio, L. Jiang, M. H. Devoret, and R. J. Schoelkopf, Controlled release of multiphoton quantum states from a microwave cavity memory, Nat. Phys. 13, 882 (2017).
  49. C. J. Axline, L. D. Burkhart, W. Pfaff, M. Zhang, K. Chou, P. Campagne-Ibarcq, P. Reinhold, L. Frunzio, S. M. Girvin, L. Jiang, M. H. Devoret, and R. J. Schoelkopf, On-demand quantum state transfer and entanglement between remote microwave cavity memories, Nat. Phys. 14, 705 (2018).
  50. 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, L. Frunzio, M. Mirrahimi, and M. H. Devoret, Quantum error correction of a qubit encoded in grid states of an oscillator, Nature 584, 368 (2020).
  51. F. Valadares, N.-N. Huang, K. T. N. Chu, A. Dorogov, W. Chua, L. Kong, P. Song, and Y. Y. Gao, On-demand transposition across light-matter interaction regimes in bosonic cQED, Nat. Commun. 15, 5816 (2024).
  52. W. Cai, X. Mu, W. Wang, J. Zhou, Y. Ma, X. Pan, Z. Hua, X. Liu, G. Xue, H. Yu, H. Wang, Y. Song, C.-L. Zou, and L. Sun, Protecting entanglement between logical qubits via quantum error correction, Nat. Phys. 20, 1022 (2024).
  53. I. Yang, T. Agrenius, V. Usova, O. Romero-Isart, and G. Kirchmair, Hot Schrödinger cat states, Sci. Adv. 11, eadr4492 (2025).
  54. K. Nie, J. N. Bradford, S. Mandal, A. Bista, W. Pfaff, and A. Kou, Data for fluxonium as a control qubit for bosonic quantum information, https://doi.org/10.13012/B2IDB-0097046_V1, 2026.
  55. S. V. Lotkhov, S. A. Bogoslovsky, A. B. Zorin, and J. Niemeyer, Bridge-free technique for fabrication of submicron Al/AlOx/Al tunnel junctions for superconducting quantum circuits, Nanotechnology 22, 315302 (2011).
  56. L. B. Nguyen, Y.-H. Lin, A. Somoroff, R. Mencia, N. Grabon, and V. E. Manucharyan, High-coherence fluxonium qubit, Phys. Rev. X 9, 041041 (2019).
  57. U. Vool, A. Kou, W. C. Smith, N. E. Frattini, K. Serniak, P. Reinhold, I. M. Pop, S. Shankar, L. Frunzio, S. M. Girvin, and M. H. Devoret, Driving forbidden transitions in the fluxonium artificial atom, Phys. Rev. Appl. 9, 054046 (2018).
  58. H. Zhang, S. Chakram, T. Roy, N. Earnest, Y. Lu, Z. Huang, D. K. Weiss, J. Koch, and D. I. Schuster, Universal fast-flux control of a coherent, low-frequency qubit, Phys. Rev. X 11, 011010 (2021).
  59. T. Wang, F. Wu, F. Wang, X. Ma, G. Zhang, J. Chen, H. Deng, R. Gao, R. Hu, L. Ma, Z. Song, T. Xia, M. Ying, H. Zhan, H.-H. Zhao, and C. Deng, Efficient initialization of fluxonium qubits based on auxiliary energy levels, Phys. Rev. Lett. 132, 230601 (2024).
  60. K. Nie, A. Bista, K. Chow, W. Pfaff, and A. Kou, Parametrically controlled microwave-photonic interface for the fluxonium, Phys. Rev. Appl. 22, 054021 (2024).
  61. P. Groszkowski and J. Koch, Scqubits: A Python package for superconducting qubits, Quantum 5, 583 (2021).
  62. S. P. Chitta, T. Zhao, Z. Huang, I. Mondragon-Shem, and J. Koch, Computer-aided quantization and numerical analysis of superconducting circuits, New J. Phys. 24, 103020 (2022).
  63. F. C. Binder et al., QuTiP: An open-source Python framework for the dynamics of open quantum systems, Quantum 7, 933 (2023).
  64. A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
  65. J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Charge-insensitive qubit design derived from the Cooper pair box, Phys. Rev. A 76, 042319 (2007).
  66. J. A. Schreier, A. A. Houck, J. Koch, D. I. Schuster, B. R. Johnson, J. M. Chow, J. M. Gambetta, J. Majer, L. Frunzio, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Suppressing charge noise decoherence in superconducting charge qubits, Phys. Rev. B 77, 180502(R) (2008).

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