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

Readout failures in superconducting qubits due to two-level system defects in tunnel junctions

Jürgen Lisenfeld*, Alexander K. Händel, Alexander Bilmes, and Alexey V. Ustinov

  • *Contact author: juergen.lisenfeld@kit.edu

Phys. Rev. Research 8, 033382 – Published 30 September, 2026

DOI: https://doi.org/10.1103/ypm5-lh8d

Abstract

Material defects give rise to parasitic two-level systems (TLS) that present a major source of decoherence in superconducting qubits. Here, we study a strongly coupled TLS that resides in the tunnel barrier of transmon qubit. We use multiphoton spectroscopy and TLS strain tuning to explore the rich spectrum of the interacting three-partite system consisting of TLS, qubit, and its readout resonator. This reveals a strong effective resonant coupling between the TLS and the qubit's readout resonator, which dresses the resonator states and results in a resonance frequency shift that spoils the readout signal. Our finding presents yet another way how material defects can interfere with qubit operation and hinder the realization of solid-state quantum processors.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (43)

  1. S. G. Rao, The coherence challenge: Foundations and advancements in superconducting quantum circuits, Arabian J. Sci. Eng. 51, 13715 (2026).
  2. J. M. Martinis, K. B. Cooper, R. McDermott, M. Steffen, M. Ansmann, K. D. Osborn, K. Cicak, S. Oh, D. P. Pappas, R. W. Simmonds, and C. C. Yu, Decoherence in Josephson qubits from dielectric loss, Phys. Rev. Lett. 95, 210503 (2005).
  3. C. Müller, J. H Cole, and J. Lisenfeld, Towards understanding two-level-systems in amorphous solids: Insights from quantum circuits, Rep. Prog. Phys. 82, 124501 (2019).
  4. J. J. Burnett, A. Bengtsson, M. Scigliuzzo, D. Niepce, M. Kudra, P. Delsing, and J. Bylander, Decoherence benchmarking of superconducting qubits, npj Quantum Inf. 5, 54 (2019).
  5. L. V. Abdurakhimov, I. Mahboob, H. Toida, K. Kakuyanagi, Y. Matsuzaki, and S. Saito, Identification of different types of high-frequency defects in superconducting qubits, PRX Quantum 3, 040332 (2022).
  6. M. Carroll, S. Rosenblatt, P. Jurcevic, I. Lauer, and A. Kandala, Dynamics of superconducting qubit relaxation times, npj Quantum Inf. 8, 132 (2022).
  7. M. Mohseni, A. Scherer, K. G. Johnson, O. Wertheim, M. Otten, N. A. Aadit, Y. Alexeev, K. M. Bresniker, K. Y. Camsari, B. Chapman, et al., How to build a quantum supercomputer: Scaling from hundreds to millions of qubits, arXiv:2411.10406.
  8. D. Sank, Z. Chen, M. Khezri, J. Kelly, R. Barends, B. Campbell, Y. Chen, B. Chiaro, A. Dunsworth, A. Fowler, et al., Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation, Phys. Rev. Lett. 117, 190503 (2016).
  9. W. Dai, S. Hazra, D. K. Weiss, P. D. Kurilovich, T. Connolly, H. K. Babla, S. Singh, V. R. Joshi, A. Z. Ding, P. D. Parakh, et al., Characterization of drive-induced unwanted state transitions in superconducting circuits, Phys. Rev. X 16, 011011 (2026).
  10. Y. Gao, Y. Zhang, H. Xu, P. Shi, F. Li, Y. Feng, W. Sun, J. Ding, Y. Liu, H. Wang, et al., Non-local and non-Markovian effects of a microscopic two-level defect in superconducting quantum circuits, arXiv:2605.23385.
  11. G. J. Grabovskij, T. Peichl, J. Lisenfeld, G. Weiss, and A. V. Ustinov, Strain tuning of individual atomic tunneling systems detected by a superconducting qubit, Science 338, 232 (2012).
  12. J. Lisenfeld, A. Bilmes, A. Megrant, R. Barends, J. Kelly, P. Klimov, G. Weiss, J. M. Martinis, and A. V. Ustinov, Electric field spectroscopy of material defects in transmon qubits, npj Quantum Inf. 5, 105 (2019).
  13. R. Barends, J. Kelly, A. Megrant, D. Sank, E. Jeffrey, Y. Chen, Y. Yin, B. Chiaro, J. Mutus, C. Neill, P. O’Malley, P. Roushan, J. Wenner, T. C. White, A. N. Cleland, and J. M. Martinis, Coherent Josephson qubit suitable for scalable quantum integrated circuits, Phys. Rev. Lett. 111, 080502 (2013).
  14. 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).
  15. J. Burnett, A. Bengtsson, D. Niepce, and J. Bylander, Noise and loss of superconducting aluminium resonators at single photon energies, J. Phys.: Conf. Ser. 969, 012131, (2018).
  16. A. Osman, J. Simon, A. Bengtsson, S. Kosen, P. Krantz, D. P. Lozano, M. Scigliuzzo, P. Delsing, J. Bylander, and A. R. Fadavi, Simplified Josephson-junction fabrication process for reproducibly high-performance superconducting qubits, Appl. Phys. Lett. 118, 064002 (2021).
  17. A. Bilmes, S. Volosheniuk, A. V Ustinov, and J. Lisenfeld, Probing defect densities at the edges and inside Josephson junctions of superconducting qubits, npj Quantum Inf. 8, 24 (2022).
  18. J. Lisenfeld, G. J. Grabovskij, C. Müller, J. H. Cole, G. Weiss, and A. V. Ustinov, Observation of directly interacting coherent two-level systems in an amorphous material, Nat. Commun. 6, 6182 (2015).
  19. J. Lisenfeld, A. Bilmes, S. Matityahu, S. Zanker, M. Marthaler, M. Schechter, G. Schön, A. Shnirman, G. Weiss, and A. V Ustinov, Decoherence spectroscopy with individual two-level tunneling defects, Sci. Rep. 6, 23786 (2016).
  20. A. Wallraff, T. Duty, A. Lukashenko, and A. V. Ustinov, Multiphoton transitions between energy levels in a current-biased Josephson tunnel junction, Phys. Rev. Lett. 90, 037003 (2003).
  21. J. R. Johansson, P. D. Nation, and F. Nori, QuTiP: An open-source Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 183, 1760 (2012).
  22. J. R. Johansson, P. D. Nation, and F. Nori, QuTiP 2: A Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 184, 1234 (2013).
  23. A. Osman, J. Fernández-Pendás, C. Warren, S. Kosen, M. Scigliuzzo, A. F. Kockum, G. Tancredi, A. F. Roudsari, and J. Bylander, Mitigation of frequency collisions in superconducting quantum processors, Phys. Rev. Res. 5, 043001 (2023).
  24. D. C. Zanuz, Q. Ficheux, L. Michaud, A. Orekhov, K. Hanke, A. Flasby, M. Bahrami Panah, G. J. Norris, M. Kerschbaum, A. Remm, et al., Mitigating losses of superconducting qubits strongly coupled to defect modes, Phys. Rev. Appl. 23, 044054 (2025).
  25. E. Daum, B. Berlitz, S. Deck, A. V Ustinov, and J. Lisenfeld, Investigation of parasitic two-level systems in merged-element transmon qubits, arXiv:2509.22593.
  26. O. F. Wolff, H. Mantry, R. Raja, W.-H. Peng, K. Singirikonda, S. Lee, S. Sudhaman, R. Goncalves, P. Y. Huang, A. Kou, et al., Structural control of two-level defect density revealed by high-throughput correlative measurements of Josephson junctions, arXiv:2602.11469.
  27. Y. Shalibo, Y. Rofe, D. Shwa, F. Zeides, M. Neeley, J. M. Martinis, and N. Katz, Lifetime and coherence of two-level defects in a Josephson junction, Phys. Rev. Lett. 105, 177001 (2010).
  28. A. Bilmes, A. K Händel, S. Volosheniuk, A. V Ustinov, and J. Lisenfeld, In-situ bandaged Josephson junctions for superconducting quantum processors, Supercond. Sci. Technol. 34, 125011 (2021).
  29. M. Chen, J. C. Owens, H. Putterman, M. Schäfer, and O. Painter, Phonon engineering of atomic-scale defects in superconducting quantum circuits, Sci. Adv. 10, eado6240 (2024).
  30. R. W. Simmonds, K. M. Lang, D. A Hite, S. Nam, D. P. Pappas, and J. M. Martinis, Decoherence in Josephson phase qubits from junction resonators, Phys. Rev. Lett. 93, 077003 (2004).
  31. L. Faoro, J. Bergli, B. L. Altshuler, and Y. M. Galperin, Models of environment and T1 relaxation in Josephson charge qubits, Phys. Rev. Lett. 95, 046805 (2005).
  32. R. de Sousa, K. B. Whaley, T. Hecht, J. von Delft, and F. K. Wilhelm, Microscopic model of critical current noise in Josephson-junction qubits, Phys. Rev. B 80, 094515 (2009).
  33. S. Ashhab, J. R. Johansson, and F. Nori, Rabi oscillations in a qubit coupled to a quantum two-level system, New J. Phys. 8, 103 (2006).
  34. A. Lupaşcu, P. Bertet, E. F. C. Driessen, C. J. P. M. Harmans, and J. E. Mooij, One- and two-photon spectroscopy of a flux qubit coupled to a microscopic defect, Phys. Rev. B 80, 172506 (2009).
  35. J. H. Cole, C. Müller, P. Bushev, G. J. Grabovskij, J. Lisenfeld, A. Lukashenko, A. V. Ustinov, and A. Shnirman, Quantitative evaluation of defect-models in superconducting phase qubits, Appl. Phys. Lett. 97, 252501 (2010).
  36. P. Bushev, C. Müller, J. Lisenfeld, J. H Cole, A. Lukashenko, A. Shnirman, and A. V. Ustinov, Multiphoton spectroscopy of a hybrid quantum system, Phys. Rev. B 82, 134530 (2010).
  37. P. V. Klimov, J. Kelly, Z. Chen, M. Neeley, A. Megrant, B. Burkett, R. Barends, K. Arya, B. Chiaro, Y. Chen, et al., Fluctuations of energy-relaxation times in superconducting qubits, Phys. Rev. Lett. 121, 090502 (2018).
  38. L. Faoro and L. B. Ioffe, Interacting tunneling model for two-level systems in amorphous materials and its predictions for their dephasing and noise in superconducting microresonators, Phys. Rev. B 91, 014201 (2015).
  39. C. Müller, J. Lisenfeld, A. Shnirman, and S. Poletto, Interacting two-level defects as sources of fluctuating high-frequency noise in superconducting circuits, Phys. Rev. B 92, 035442 (2015).
  40. A. Bilmes, S. Zanker, A. Heimes, M. Marthaler, G. Schön, G. Weiss, A. V. Ustinov, and J. Lisenfeld, Electronic decoherence of two-level systems in a Josephson junction, Phys. Rev. B 96, 064504 (2017).
  41. T. Thorbeck, A. Eddins, I. Lauer, D. T. McClure, and M. Carroll, Two-level-system dynamics in a superconducting qubit due to background ionizing radiation, PRX Quantum 4, 020356 (2023).
  42. A. Morvan, B. Villalonga, X. Mi, S. Mandrà, A. Bengtsson, P. V. Klimov, Z. Chen, S. Hong, C. Erickson, I. K. Drozdov, et al., Phase transitions in random circuit sampling, Nature (London) 634, 328 (2024).
  43. 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 (London) 584, 205 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation