Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Fast unconditional reset and leakage reduction of a tunable superconducting qubit via an engineered dissipative bath

Gihwan Kim1,2,*, Andreas Butler1,2,*, Vinicius S. Ferreira1,2,†, Xueyue (Sherry) Zhang1,2,‡, Alex Hadley1, Eunjong Kim3,4, and Oskar Painter1,2,§

  • 1Kavli Nanoscience Institute and Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125, USA
  • 2Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA
  • 3Department of Physics & Astronomy, Seoul National University, Seoul 08826, South Korea
  • 4Institute of Applied Physics, Seoul National University, Seoul 08826, South Korea

  • *These authors contributed equally.
  • †Current address: Google Quantum AI, Santa Barbara, CA.
  • ‡Current address: Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027.
  • §Contact author: opainter@caltech.edu

Phys. Rev. Applied 24, 014013 – Published 7 July, 2025

DOI: https://doi.org/10.1103/6wc6-78y3

Abstract

Rapid and accurate initialization of qubits, known as reset, is a crucial building block for various tasks in quantum information processing, such as quantum error correction and estimation of the statistics of noisy quantum devices with many qubits. We demonstrate unconditional reset of a frequency-tunable transmon qubit that simultaneously resets multiple excited states using a metamaterial waveguide engineered to provide a cold bath over a wide spectral range, while providing strong protection against Purcell decay of the qubit. We report a reset error below 0.13% (0.16%) when prepared in the first (second) excited state of the transmon within 88 ns. In addition, through the sharp roll-off in the density of states of the metamaterial waveguide, we implement a leakage-reduction unit that selectively resets the transmon’s second excited state to 0.285(3)% residual population within 44 ns while acting trivially in the computational subspace as an identity operation that preserves encoded information with an infidelity of 0.72(1)%.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (56)

  1. D. P. DiVincenzo, The physical implementation of quantum computation, Fortschr. Phys.: Prog. Phys. 48, 771 (2000).
  2. H. K. Ng, D. A. Lidar, and J. Preskill, Combining dynamical decoupling with fault-tolerant quantum computation, Phys. Rev. A 84, 012305 (2011).
  3. M. D. Reed, L. DiCarlo, S. E. Nigg, L. Sun, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, Realization of three-qubit quantum error correction with superconducting circuits, Nature 482, 382 (2012).
  4. Z. Chen et al., Exponential suppression of bit or phase errors with cyclic error correction, Nature 595, 383 (2021).
  5. S. Krinner, N. Lacroix, A. Remm, A. Di Paolo, E. Genois, C. Leroux, C. Hellings, S. Lazar, F. Swiadek, J. Herrmann, G. J. Norris, C. K. Andersen, M. Müller, A. Blais, C. Eichler, and A. Wallraff, Realizing repeated quantum error correction in a distance-three surface code, Nature 605, 669 (2022).
  6. R. Acharya et al., Suppressing quantum errors by scaling a surface code logical qubit, Nature 614, 676 (2023).
  7. G. P. Gehér, M. Jastrzebski, E. T. Campbell, and O. Crawford, To reset, or not to reset—that is the question, npj Quantum Inf. 11, 39 (2025).
  8. M. McEwen et al., Removing leakage-induced correlated errors in superconducting quantum error correction, Nat. Commun. 12, 1761 (2021).
  9. K. C. Miao et al., Overcoming leakage in quantum error correction, Nat. Phys. 19, 1780 (2023).
  10. F. Battistel, B. Varbanov, and B. Terhal, Hardware-efficient leakage-reduction scheme for quantum error correction with superconducting transmon qubits, PRX Quantum 2, 030314 (2021).
  11. J. F. Marques, H. Ali, B. M. Varbanov, M. Finkel, H. M. Veen, S. L. M. van der Meer, S. Valles-Sanclemente, N. Muthusubramanian, M. Beekman, N. Haider, B. M. Terhal, and L. DiCarlo, All-microwave leakage reduction units for quantum error correction with superconducting transmon qubits, Phys. Rev. Lett. 130, 250602 (2023).
  12. N. Lacroix, L. Hofele, A. Remm, O. Benhayoune-Khadraoui, A. McDonald, R. Shillito, S. Lazar, C. Hellings, F. m. c. Swiadek, D. Colao-Zanuz, A. Flasby, M. B. Panah, M. Kerschbaum, G. J. Norris, A. Blais, A. Wallraff, and S. Krinner, Fast flux-activated leakage reduction for superconducting quantum circuits, Phys. Rev. Lett. 134, 120601 (2025).
  13. D. Ristè, J. G. van Leeuwen, H.-S. Ku, K. W. Lehnert, and L. DiCarlo, Initialization by measurement of a superconducting quantum bit circuit, Phys. Rev. Lett. 109, 050507 (2012).
  14. D. Ristè, C. C. Bultink, K. W. Lehnert, and L. DiCarlo, Feedback control of a solid-state qubit using high-fidelity projective measurement, Phys. Rev. Lett. 109, 240502 (2012).
  15. J. E. Johnson, C. Macklin, D. H. Slichter, R. Vijay, E. B. Weingarten, J. Clarke, and I. Siddiqi, Heralded state preparation in a superconducting qubit, Phys. Rev. Lett. 109, 050506 (2012).
  16. P. Campagne-Ibarcq, E. Flurin, N. Roch, D. Darson, P. Morfin, M. Mirrahimi, M. H. Devoret, F. Mallet, and B. Huard, Persistent control of a superconducting qubit by stroboscopic measurement feedback, Phys. Rev. X 3, 021008 (2013).
  17. D. Sank et al., Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation, Phys. Rev. Lett. 117, 190503 (2016).
  18. M. Khezri, A. Opremcak, Z. Chen, K. C. Miao, M. McEwen, A. Bengtsson, T. White, O. Naaman, D. Sank, A. N. Korotkov, Y. Chen, and V. Smelyanskiy, Measurement-induced state transitions in a superconducting qubit: Within the rotating-wave approximation, Phys. Rev. Appl. 20, 054008 (2023).
  19. M. D. Reed, B. R. Johnson, A. A. Houck, L. DiCarlo, J. M. Chow, D. I. Schuster, L. Frunzio, and R. J. Schoelkopf, Fast reset and suppressing spontaneous emission of a superconducting qubit, Appl. Phys. Lett. 96, 203110 (2010).
  20. K. Geerlings, Z. Leghtas, I. M. Pop, S. Shankar, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, and M. H. Devoret, Demonstrating a driven reset protocol for a superconducting qubit, Phys. Rev. Lett. 110, 120501 (2013).
  21. P. Magnard, P. Kurpiers, B. Royer, T. Walter, J.-C. Besse, S. Gasparinetti, M. Pechal, J. Heinsoo, S. Storz, A. Blais, and A. Wallraff, Fast and unconditional all-microwave reset of a superconducting qubit, Phys. Rev. Lett. 121, 060502 (2018).
  22. Y. Zhou, Z. Zhang, Z. Yin, S. Huai, X. Gu, X. Xu, J. Allcock, F. Liu, G. Xi, Q. Yu, H. Zhang, M. Zhang, H. Li, X. Song, Z. Wang, D. Zheng, S. An, Y. Zheng, and S. Zhang, Rapid and unconditional parametric reset protocol for tunable superconducting qubits, Nat. Commun. 12, 5924 (2021).
  23. Y. Sunada, S. Kono, J. Ilves, S. Tamate, T. Sugiyama, Y. Tabuchi, and Y. Nakamura, Fast readout and reset of a superconducting qubit coupled to a resonator with an intrinsic Purcell filter, Phys. Rev. Appl. 17, 044016 (2022).
  24. L. Chen, S. P. Fors, Z. Yan, A. Ali, T. Abad, A. Osman, E. Moschandreou, B. Lienhard, S. Kosen, H.-X. Li et al., Fast unconditional reset and leakage reduction in fixed-frequency transmon qubits, ArXiv:2409.16748.
  25. E. Purcell, Spontaneous emission probabilities at radio frequency, Phys. Pev. 69, 681 (1946).
  26. E. Jeffrey, D. Sank, J. Y. Mutus, T. C. White, J. Kelly, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Megrant, P. J. J. O’Malley, C. Neill, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and J. M. Martinis, Fast accurate state measurement with superconducting qubits, Phys. Rev. Lett. 112, 190504 (2014).
  27. M. Mirhosseini, E. Kim, V. S. Ferreira, M. Kalaee, A. Sipahigil, A. J. Keller, and O. Painter, Superconducting metamaterials for waveguide quantum electrodynamics, Nat. Commun. 9, 3706 (2018).
  28. E. Kim, X. Zhang, V. S. Ferreira, J. Banker, J. K. Iverson, A. Sipahigil, M. Bello, A. González-Tudela, M. Mirhosseini, and O. Painter, Quantum electrodynamics in a topological waveguide, Phys. Rev. X 11, 011015 (2021).
  29. V. S. Ferreira, J. Banker, A. Sipahigil, M. H. Matheny, A. J. Keller, E. Kim, M. Mirhosseini, and O. Painter, Collapse and revival of an artificial atom coupled to a structured photonic reservoir, Phys. Rev. X 11, 041043 (2021).
  30. X. Zhang, E. Kim, D. K. Mark, S. Choi, and O. Painter, A superconducting quantum simulator based on a photonic-bandgap metamaterial, Science 379, 278 (2023).
  31. V. S. Ferreira, G. Kim, A. Butler, H. Pichler, and O. Painter, Deterministic generation of multidimensional photonic cluster states with a single quantum emitter, Nat. Phys. 20, 865 (2024).
  32. F. Beaudoin, M. P. da Silva, Z. Dutton, and A. Blais, First-order sidebands in circuit QED using qubit frequency modulation, Phys. Rev. A 86, 022305 (2012).
  33. J. D. Strand, M. Ware, F. Beaudoin, T. A. Ohki, B. R. Johnson, A. Blais, and B. L. T. Plourde, First-order sideband transitions with flux-driven asymmetric transmon qubits, Phys. Rev. B 87, 220505 (2013).
  34. M. Silveri, J. Tuorila, E. Thuneberg, and G. Paraoanu, Quantum systems under frequency modulation, Rep. Prog. Phys. 80, 056002 (2017).
  35. G. Calajó, F. Ciccarello, D. Chang, and P. Rabl, Atom-field dressed states in slow-light waveguide QED, Phys. Rev. A 93, 033833 (2016).
  36. A. González-Tudela and J. I. Cirac, Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs, Phys. Rev. A 96, 043811 (2017).
  37. S. N. Shevchenko, S. Ashhab, and F. Nori, Landau–Zener–Stückelberg interferometry, Phys. Rep. 492, 1 (2010).
  38. C. J. Wood and J. M. Gambetta, Quantification and characterization of leakage errors, Phys. Rev. A 97, 032306 (2018).
  39. G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, and G. Schön, Decoherence in a superconducting quantum bit circuit, Phys. Rev. B 72, 134519 (2005).
  40. G. Huber, F. Roy, L. Koch, I. Tsitsilin, J. Schirk, N. Glaser, N. Bruckmoser, C. Schweizer, J. Romeiro, G. Krylov et al., Parametric multi-element coupling architecture for coherent and dissipative control of superconducting qubits, ArXiv:2403.02203.
  41. E. Magesan, J. M. Gambetta, B. R. Johnson, C. A. Ryan, J. M. Chow, S. T. Merkel, M. P. da Silva, G. A. Keefe, M. B. Rothwell, T. A. Ohki, M. B. Ketchen, and M. Steffen, Efficient measurement of quantum gate error by interleaved randomized benchmarking, Phys. Rev. Lett. 109, 080505 (2012).
  42. J.-C. Besse, S. Gasparinetti, M. C. Collodo, T. Walter, P. Kurpiers, M. Pechal, C. Eichler, and A. Wallraff, Single-shot quantum nondemolition detection of individual itinerant microwave photons, Phys. Rev. X 8, 021003 (2018).
  43. K. Reuer, J.-C. Besse, L. Wernli, P. Magnard, P. Kurpiers, G. J. Norris, A. Wallraff, and C. Eichler, Realization of a universal quantum gate set for itinerant microwave photons, Phys. Rev. X 12, 011008 (2022).
  44. N. M. Sundaresan, R. Lundgren, G. Zhu, A. V. Gorshkov, and A. A. Houck, Interacting qubit-photon bound states with superconducting circuits, Phys. Rev. X 9, 011021 (2019).
  45. P. Krantz, M. Kjaergaard, F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver, A quantum engineer’s guide to superconducting qubits, Appl. Phys. Rev. 6, 021318 (2019).
  46. D. T. McClure, H. Paik, L. S. Bishop, M. Steffen, J. M. Chow, and J. M. Gambetta, Rapid driven reset of a qubit readout resonator, Phys. Rev. Appl. 5, 011001 (2016).
  47. R. A. FISHER, The use of multiple measurements in taxonomic problems, Ann. Eugen. 7, 179 (1936).
  48. F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay, Scikit-Learn: Machine learning in Python, J. Mach. Learn. Res. 12, 2825 (2011).
  49. G. Calusine, A. Melville, W. Woods, R. Das, C. Stull, V. Bolkhovsky, D. Braje, D. Hover, D. K. Kim, X. Miloshi, D. Rosenberg, A. Sevi, J. L. Yoder, E. Dauler, and W. D. Oliver, Analysis and mitigation of interface losses in trenched superconducting coplanar waveguide resonators, Appl. Phys. Lett. 112, 062601 (2018).
  50. W. Woods, G. Calusine, A. Melville, A. Sevi, E. Golden, D. Kim, D. Rosenberg, J. Yoder, and W. Oliver, Determining interface dielectric losses in superconducting coplanar-waveguide resonators, Phys. Rev. Appl. 12, 014012 (2019).
  51. L. Shi, T. Guo, R. Su, T. Chi, Y. Sheng, J. Jiang, C. Cao, J. Wu, X. Tu, G. Sun, J. Chen, and P. Wu, Tantalum microwave resonators with ultra-high intrinsic quality factors, Appl. Phys. Lett. 121, 242601 (2022).
  52. M. Spiecker, P. Paluch, N. Gosling, N. Drucker, S. Matityahu, D. Gusenkova, S. Günzler, D. Rieger, I. Takmakov, F. Valenti, P. Winkel, R. Gebauer, O. Sander, G. Catelani, A. Shnirman, A. V. Ustinov, W. Wernsdorfer, Y. Cohen, and I. M. Pop, Two-level system hyperpolarization using a quantum Szilard engine, Nat. Phys. 19, 1320 (2023).
  53. N. Kosugi, S. Matsuo, K. Konno, and N. Hatakenaka, Theory of damped rabi oscillations, Phys. Rev. B 72, 172509 (2005).
  54. J. Johansson, P. Nation, and F. Nori, QuTiP: An open-source Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 183, 1760 (2012).
  55. L. H. Pedersen, N. M. Møller, and K. Mølmer, Fidelity of quantum operations, Phys. Lett. A 367, 47 (2007).
  56. M. Pechal, L. Huthmacher, C. Eichler, S. Zeytinoğlu, A. A. Abdumalikov, S. Berger, A. Wallraff, and S. Filipp, Microwave-controlled generation of shaped single photons in circuit quantum electrodynamics, Phys. Rev. X 4, 041010 (2014).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation