- Open Access
Suppression of Measurement-Induced State Transitions in -Coupling Transmon Readout
PRX Quantum 7, 020369 – Published 25 June, 2026
DOI: https://doi.org/10.1103/ylsw-t92p
Abstract
Drive-induced unwanted state transitions (DUST) are limiting both for microwave readout and parametric operations of superconducting qubits. Among them, measurement-induced state transitions (MIST) are due to intrinsic resonances described by the readout Hamiltonian. They were previously studied with a qubit linearly coupled to its readout mode, which constitutes the usual readout Hamiltonian. Since MIST can appear even at moderate powers, they limit the readout signal-to-noise ratio and the quantum non-demolition readout fidelity. In this work, we study the high-power readout regime in a different transmon readout scheme, implementing a nonlinear coupling called the -coupling. This coupling stems from a transmon molecule circuit and has symmetry properties that suppress nonparity-conserving MIST. We succeed in performing multistate single-shot readout up to the fifth excited state of the transmon, which enables us to identify leakage pathways from the computational subspace. The measurements indicate that the system is free of MIST up to high powers, with more than 300 photons in the readout mode. The MIST can be controllably turned on by breaking the parity symmetry of the coupling using flux-tuning. These experimental results are corroborated by branch analysis and simulations of the classical chaotic dynamics, showing that the -coupling is very robust to readout photons compared to the usual transverse coupling.
Physics Subject Headings (PhySH)
Popular Summary
The fidelity and quantum non-demolition (QND) properties of qubit readout are central to the development of quantum computers. For transmons, measurement is usually achieved through a linear coupling between the qubit and the readout mode. Although this coupling is preeminent, it has many limitations. In fact, at sufficiently high photon numbers, required for fast and high-fidelity readout, the measurement loses its QND nature. This is due to measurement-induced state transitions (MIST), which are intrinsic to the coupling between the qubit and the measurement. They appear at low photon counts and lead to structural instabilities in the qubit. More generally, MIST limit all operations using microwave drives such as readout and quantum gates.
In this work, we implemented a nonlinear -coupling between the transmon qubit and the readout mode. This coupling suppresses MIST and maintains the stability of the qubit up to high photon counts above 300. The observation and suppression of MIST can be explained by the symmetry of the coupling, which is tunable with a magnetic field. All of these results were corroborated by theoretical analysis and simulations, showing that the -coupling is more robust to measurement photons than the usual linear coupling, making it a compelling alternative for high fidelity and nondestructive qubit readout.
Article Text
References (54)
- A. Blais, A. L. Grimsmo, S. M. Girvin, and A. Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
- 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).
- R. Acharya et al., Google Quantum AI and Collaborators, Quantum error correction below the surface code threshold, Nature 638, 920 (2025).
- P. Spring, L. Milanovic, Y. Sunada, S. Wang, A. Loo, S. Tamate, and Y. Nakamura, Fast multiplexed superconducting qubit readout with intrinsic Purcell filtering using a multiconductor transmission line, PRX Quantum 6, 020345 (2025).
- P. D. Kurilovich, T. Connolly, C. G. L. Bøttcher, D. K. Weiss, S. Hazra, V. R. Joshi, A. Z. Ding, H. Nho, S. Diamond, V. D. Kurilovich, W. Dai, V. Fatemi, L. Frunzio, L. I. Glazman, and M. H. Devoret, High-frequency readout free from transmon multi-excitation resonances, arXiv:2501.09161.
- 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).
- D. Sank et al., Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation, Phys. Rev. Lett. 117, 190503 (2016).
- 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).
- T. Walter, P. Kurpiers, S. Gasparinetti, P. Magnard, A. Potočnik, Y. Salathé, M. Pechal, M. Mondal, M. Oppliger, C. Eichler, and A. Wallraff, Rapid high-fidelity single-shot dispersive readout of superconducting qubits, Phys. Rev. Appl. 7, 054020 (2017).
- L. Chen, H.-X. Li, Y. Lu, C. W. Warren, C. J. Križan, S. Kosen, M. Rommel, S. Ahmed, A. Osman, J. Biznárová, A. Fadavi Roudsari, B. Lienhard, M. Caputo, K. Grigoras, L. Grönberg, J. Govenius, A. F. Kockum, P. Delsing, J. Bylander, and G. Tancredi, Transmon qubit readout fidelity at the threshold for quantum error correction without a quantum-limited amplifier, npj Quantum Inf. 9, 1 (2023).
- F. Swiadek, R. Shillito, P. Magnard, A. Remm, C. Hellings, N. Lacroix, Q. Ficheux, D. C. Zanuz, G. J. Norris, A. Blais, S. Krinner, and A. Wallraff, Enhancing dispersive readout of superconducting qubits through dynamic control of the dispersive shift: Experiment and theory, PRX Quantum 5, 040326 (2024).
- 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, J. Venkatraman, X. Xiao, L. Frunzio, and M. H. Devoret, Characterization of drive-induced unwanted state transitions in superconducting circuits, Phys. Rev. X 16, 011011 (2026).
- D. H. Slichter, R. Vijay, S. J. Weber, S. Boutin, M. Boissonneault, J. M. Gambetta, A. Blais, and I. Siddiqi, Measurement-induced qubit state mixing in circuit QED from up-converted dephasing noise, Phys. Rev. Lett. 109, 153601 (2012).
- T. Thorbeck, Z. Xiao, A. Kamal, and L. C. G. Govia, Readout-induced suppression and enhancement of superconducting qubit lifetimes, Phys. Rev. Lett. 132, 090602 (2024).
- T. Connolly, P. D. Kurilovich, V. D. Kurilovich, C. G. L. Bøttcher, S. Hazra, W. Dai, A. Z. Ding, V. R. Joshi, H. Nho, S. Diamond, D. K. Weiss, V. Fatemi, L. Frunzio, L. I. Glazman, and M. H. Devoret, Full characterization of measurement-induced transitions of a superconducting qubit, arXiv:2506.05306.
- L. Verney, R. Lescanne, M. H. Devoret, Z. Leghtas, and M. Mirrahimi, Structural instability of driven Josephson circuits prevented by an inductive shunt, Phys. Rev. Appl. 11, 024003 (2019).
- R. Shillito, A. Petrescu, J. Cohen, J. Beall, M. Hauru, M. Ganahl, A. G. M. Lewis, G. Vidal, and A. Blais, Dynamics of transmon ionization, Phys. Rev. Appl. 18, 034031 (2022).
- J. Cohen, A. Petrescu, R. Shillito, and A. Blais, Reminiscence of classical chaos in driven transmons, PRX Quantum 4, 020312 (2023).
- M. F. Dumas, B. Groleau-Paré, A. McDonald, M. H. Muñoz-Arias, C. Lledó, B. D’Anjou, and A. Blais, Measurement-induced transmon ionization, Phys. Rev. X 14, 041023 (2024).
- R. Lescanne, L. Verney, Q. Ficheux, M. H. Devoret, B. Huard, M. Mirrahimi, and Z. Leghtas, Escape of a driven quantum Josephson circuit into unconfined states, Phys. Rev. Appl. 11, 014030 (2019).
- M. Féchant, M. F. Dumas, D. Bénâtre, N. Gosling, P. Lenhard, M. Spiecker, S. Geisert, S. Ihssen, W. Wernsdorfer, B. D’Anjou, A. Blais, and I. M. Pop, Offset charge dependence of measurement-induced transitions in transmons, Phys. Rev. Lett. 135, 180603 (2025).
- M. Xia, C. Lledó, M. Capocci, J. Repicky, B. D’Anjou, I. Mondragon-Shem, R. Kaufman, J. Koch, A. Blais, and M. Hatridge, Exceeding the parametric drive strength threshold in nonlinear circuits, arXiv:2506.03456.
- I. Diniz, E. Dumur, O. Buisson, and A. Auffèves, Ultrafast quantum nondemolition measurements based on a diamond-shaped artificial atom, Phys. Rev. A 87, 033837 (2013).
- E. Dumur, B. Küng, A. Feofanov, T. Weißl, Y. Krupko, N. Roch, C. Naud, W. Guichard, and O. Buisson, Unexpectedly allowed transition in two inductively coupled transmons, IEEE Trans. Appl. Supercond. 26, 1 (2016).
- R. Dassonneville, T. Ramos, V. Milchakov, L. Planat, E. Dumur, F. Foroughi, J. Puertas, S. Leger, K. Bharadwaj, J. Delaforce, C. Naud, W. Hasch-Guichard, J. J. García-Ripoll, N. Roch, and O. Buisson, Fast high-fidelity quantum nondemolition qubit readout via a nonperturbative cross-Kerr coupling, Phys. Rev. X 10, 011045 (2020).
- R. Dassonneville, T. Ramos, V. Milchakov, C. Mori, L. Planat, F. Foroughi, C. Naud, W. Hasch-Guichard, J. J. García-Ripoll, N. Roch, and O. Buisson, Transmon-qubit readout using an in situ bifurcation amplification in the mesoscopic regime, Phys. Rev. Appl. 20, 044050 (2023).
- N. Didier, J. Bourassa, and A. Blais, Fast quantum nondemolition readout by parametric modulation of longitudinal qubit-oscillator interaction, Phys. Rev. Lett. 115, 203601 (2015).
- A. A. Chapple, A. McDonald, M. H. Muñoz-Arias, M. Lachapelle, and A. Blais, Robustness of longitudinal transmon readout to ionization, Phys. Rev. Appl. 24, 034026 (2025).
- A. J. Kerman, Quantum information processing using quasiclassical electromagnetic interactions between qubits and electrical resonators, New J. Phys. 15, 123011 (2013).
- P.-M. Billangeon, J. S. Tsai, and Y. Nakamura, Circuit-QED-based scalable architectures for quantum information processing with superconducting qubits, Phys. Rev. B 91, 094517 (2015).
- S. Richer, N. Maleeva, S. T. Skacel, I. M. Pop, and D. DiVincenzo, Inductively shunted transmon qubit with tunable transverse and longitudinal coupling, Phys. Rev. B 96, 174520 (2017).
- Y. Ye, J. B. Kline, A. Yen, G. Cunningham, M. Tan, A. Zang, M. Gingras, B. M. Niedzielski, H. Stickler, K. Serniak, M. E. Schwartz, and K. P. O’Brien, Near-ultrastrong nonlinear light-matter coupling in superconducting circuits, Nat. Commun. 16, 3799 (2025).
- S. Hazra, W. Dai, T. Connolly, P. Kurilovich, Z. Wang, L. Frunzio, and M. Devoret, Benchmarking the readout of a superconducting qubit for repeated measurements, Phys. Rev. Lett. 134, 100601 (2025).
- F. Pfeiffer et al., Efficient decoupling of a nonlinear qubit mode from its environment, Phys. Rev. X 14, 041007 (2024).
- C. Mori, V. Milchakov, F. D’Esposito, L. Ruela, S. Kumar, V. N. Suresh, W. Ardati, D. Nicolas, Q. Ficheux, N. Roch, T. Ramos, and O. Buisson, High-power readout of a transmon qubit using a nonlinear coupling, arXiv:2507.03642.
- K. V. Salunkhe, S. Kundu, S. Das, J. Deshmukh, M. P. Patankar, and R. Vijay, The quantromon: A qubit-resonator system with orthogonal qubit and readout modes, arXiv:2501.17439.
- C. Wang, F.-M. Liu, H. Chen, Y.-F. Du, C. Ying, J.-W. Wang, Y.-H. Huo, C.-Z. Peng, X. Zhu, M.-C. Chen, C.-Y. Lu, and J.-W. Pan, Longitudinal and nonlinear coupling for high-fidelity readout of a superconducting qubit, Phys. Rev. Lett. 135, 060803 (2025).
- 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(R) (2016).
- F. R. Ong, M. Boissonneault, F. Mallet, A. Palacios-Laloy, A. Dewes, A. C. Doherty, A. Blais, P. Bertet, D. Vion, and D. Esteve, Circuit QED with a nonlinear resonator: ac-Stark shift and dephasing, Phys. Rev. Lett. 106, 167002 (2011).
- A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 2013).
- B. V. Chirikov, A universal instability of many-dimensional oscillator systems, Phys. Rep. 52, 263 (1979).
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables (Courier Corporation, Washington, D.C, 1964), Vol. 55.
- G. M. Zaslavskiî, R. Z. Sagdeev, D. A. Usikov, A. A. Chernikov, and A. R. Sagdeeva, Weak Chaos and Quasi-Regular Patterns (Cambridge University Press, Cambridge, 1991).
- N. Bubner and R. Graham, Quantum dynamics in a chaotic separatrix layer, Phys. Rev. A 43, 1783 (1991).
- A. Petrescu, M. Malekakhlagh, and H. E. Türeci, Lifetime renormalization of driven weakly anharmonic superconducting qubits. II. The readout problem, Phys. Rev. B 101, 134510 (2020).
- M. Malekakhlagh, E. Magesan, and D. C. McKay, First-principles analysis of cross-resonance gate operation, Phys. Rev. A 102, 042605 (2020).
- F. Lecocq, I. M. Pop, Z. Peng, I. Matei, T. Crozes, T. Fournier, C. Naud, W. Guichard, and O. Buisson, Junction fabrication by shadow evaporation without a suspended bridge, Nanotechnology 22, 315302 (2011).
- G. J. Dolan, Offset masks for lift-off photoprocessing, Appl. Phys. Lett. 31, 337 (1977).
- Q. Ficheux, Quantum trajectories with incompatible decoherence channels, Ph.D. thesis, Paris Sciences et Lettres, https://theses.fr/2018PSLEE088 (2018).
- A. Ranadive, M. Esposito, L. Planat, E. Bonet, C. Naud, O. Buisson, W. Guichard, and N. Roch, Kerr reversal in Josephson meta-material and traveling wave parametric amplification, Nat. Commun. 13, 1737 (2022).
- P. Groszkowski and J. Koch, Scqubits: A Python package for superconducting qubits, Quantum 5, 583 (2021).
- D. I. Schuster, A. Wallraff, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. M. Girvin, and R. J. Schoelkopf, ac Stark shift and dephasing of a superconducting qubit strongly coupled to a cavity field, Phys. Rev. Lett. 94, 123602 (2005).
- A. Petrescu, C. Le Calonnec, C. Leroux, A. Di Paolo, P. Mundada, S. Sussman, A. Vrajitoarea, A. A. Houck, and A. Blais, Accurate methods for the analysis of strong-drive effects in parametric gates, Phys. Rev. Appl. 19, 044003 (2023).
- B. V. Chirikov, Resonance processes in magnetic traps, Sov. J. At. Energy 6, 464 (1960).
