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Fast CZ gate via energy-level engineering in superconducting qubits with a tunable coupler

Benzheng Yuan*, Chaojie Zhang, Chuanbing Han, Shuya Wang, Peng Xu, Huihui Sun, Qing Mu, Lixin Wang, Bo Zhao et al.

Weilong Wang and Zheng Shan

  • Laboratory for Advanced Computing and Intelligence Engineering, Information Engineering University, Zhengzhou 450001, Henan, China

  • *Contact author: Benzhengyuan@outlook.com
  • Contact author: wangwl19888@163.com
  • Contact author: shanzhengzz@163.com

Phys. Rev. A 113, 032426 – Published 13 March, 2026

DOI: https://doi.org/10.1103/kc8w-nvnn

Abstract

In superconducting quantum circuits, decoherence errors in qubits constitute a critical factor limiting quantum gate performance. To mitigate decoherence-induced gate infidelity, rapid implementation of quantum gates is essential. Here we propose a scheme for rapid controlled-Z (CZ) gate implementation through energy-level engineering, which leverages Rabi oscillations between the |11 state and the noncomputational state in a tunable-coupler architecture. Numerical simulations achieved a 22-ns nonadiabatic CZ gate with fidelity greater than 99.99%. We further investigated the performance of the CZ gate in the presence of anharmonicity offsets. The results demonstrate that a high-fidelity CZ gate with an error rate below 104 remains achievable even with finite anharmonicity variations. Furthermore, the detrimental impact of spectator qubits in different quantum states on the fidelity of the CZ gate is effectively suppressed by incorporating a tunable coupler. This scheme exhibits potential for extending the circuit execution depth constrained by coherence time limitations.

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References (33)

  1. Google Quantum AI and Collaborators, Quantum error correction below the surface code threshold, Nature (London) 638, 920 (2025).
  2. P. V. Klimov, A. Bengtsson, C. Quintana, A. Bourassa, S. Hong, A. Dunsworth, K. J. Satzinger, W. P. Livingston, V. Sivak, M. Y. Niu, et al., Optimizing quantum gates towards the scale of logical qubits, Nat. Commun. 15, 2442 (2024).
  3. A. Gyenis, P. S. Mundada, A. Di Paolo, T. M. Hazard, X. You, D. I. Schuster, J. Koch, A. Blais, and A. A. Houck, Experimental realization of a protected superconducting circuit derived from the 0π qubit, PRX Quantum 2, 010339 (2021).
  4. A. Gyenis, A. Di Paolo, J. Koch, A. Blais, A. A. Houck, and D. I. Schuster, Moving beyond the transmon: Noise-protected superconducting quantum circuits, PRX Quantum 2, 030101 (2021).
  5. I. Siddiqi, Engineering high-coherence superconducting qubits, Nat. Rev. Mater. 6, 875 (2021).
  6. F. Hassani, M. Peruzzo, L. Kapoor, A. Trioni, M. Zemlicka, and J. M. Fink, Inductively shunted transmons exhibit noise insensitive plasmon states and a fluxon decay exceeding 3 hours, Nat. Commun. 14, 3968 (2023).
  7. 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).
  8. A. P. Place, L. V. Rodgers, P. Mundada, B. M. Smitham, M. Fitzpatrick, Z. Leng, A. Premkumar, J. Bryon, A. Vrajitoarea, S. Sussman, et al., New material platform for superconducting transmon qubits with coherence times exceeding 0.3 milliseconds, Nat. Commun. 12, 1779 (2021).
  9. C. Wang, X. Li, H. Xu, Z. Li, J. Wang, Z. Yang, Z. Mi, X. Liang, T. Su, C. Yang, et al., Towards practical quantum computers: Transmon qubit with a lifetime approaching 0.5 milliseconds, npj Quantum Inf. 8, 3 (2022).
  10. S. Ganjam, Y. Wang, Y. Lu, A. Banerjee, C. U. Lei, L. Krayzman, K. Kisslinger, C. Zhou, R. Li, Y. Jia, et al., Surpassing millisecond coherence in on chip superconducting quantum memories by optimizing materials and circuit design, Nat. Commun. 15, 3687 (2024).
  11. J. Verjauw, R. Acharya, J. Van Damme, T. Ivanov, D. P. Lozano, F. Mohiyaddin, D. Wan, J. Jussot, A. Vadiraj, M. Mongillo, et al., Path toward manufacturable superconducting qubits with relaxation times exceeding 0.1 ms, npj Quantum Inf. 8, 93 (2022).
  12. S. Kim, H. Terai, T. Yamashita, W. Qiu, T. Fuse, F. Yoshihara, S. Ashhab, K. Inomata, and K. Semba, Enhanced coherence of all-nitride superconducting qubits epitaxially grown on silicon substrate, Commun. Mater. 2, 98 (2021).
  13. M. P. Bland, F. Bahrami, J. G. C. Martinez, P. H. Prestegaard, B. M. Smitham, A. Joshi, E. Hedrick, S. Kumar, A. Yang, A. Pakpour-Tabrizi, et al., Millisecond lifetimes and coherence times in 2D transmon qubits, Nature (London) 647, 343 (2025).
  14. J. M. Martinis and M. R. Geller, Fast adiabatic qubit gates using only σz control, Phys. Rev. A 90, 022307 (2014).
  15. Y. Xu, J. Chu, J. Yuan, J. Qiu, Y. Zhou, L. Zhang, X. Tan, Y. Yu, S. Liu, J. Li, et al., High-fidelity, high-scalability two-qubit gate scheme for superconducting qubits, Phys. Rev. Lett. 125, 240503 (2020).
  16. J. Chu and F. Yan, Coupler-assisted controlled-phase gate with enhanced adiabaticity, Phys. Rev. Appl. 16, 054020 (2021).
  17. Y. Sung, L. Ding, J. Braumüller, A. Vepsäläinen, B. Kannan, M. Kjaergaard, A. Greene, G. O. Samach, C. McNally, D. Kim, et al., Realization of high-fidelity CZ and ZZ-free iSWAP gates with a tunable coupler, Phys. Rev. X 11, 021058 (2021).
  18. R. Barends, C. M. Quintana, A. G. Petukhov, Y. Chen, D. Kafri, K. Kechedzhi, R. Collins, O. Naaman, S. Boixo, F. Arute, et al., Diabatic gates for frequency-tunable superconducting qubits, Phys. Rev. Lett. 123, 210501 (2019).
  19. S. Li, J. Clark, S. Wang, Y. Wu, M. Gong, Z. Yan, H. Rong, H. Deng, C. Zha, C. Guo, et al., Realisation of high-fidelity nonadiabatic CZ gates with superconducting qubits, npj Quantum Inf. 5, 84 (2019).
  20. H. Goto, Double-transmon coupler: Fast two-qubit gate with no residual coupling for highly detuned superconducting qubits, Phys. Rev. Appl. 18, 034038 (2022).
  21. R. Li, K. Kubo, Y. Ho, Z. Yan, Y. Nakamura, and H. Goto, Realization of high-fidelity CZ gate based on a double-transmon coupler, Phys. Rev. X 14, 041050 (2024).
  22. Z. Huang, T. Kim, T. Roy, Y. Lu, A. Romanenko, S. Zhu, and A. Grassellino, Fast ZZ-free entangling gates for superconducting qubits assisted by a driven resonator, Phys. Rev. Appl. 22, 034007 (2024).
  23. L. Jiang, P. Xu, S. Wu, J.-A. Sun, and F.-Q. Dou, Microwave-activated two-qubit gates for fixed-coupling and fixed-frequency transmon qubits, Phys. Rev. A 111, 032609 (2025).
  24. P. Zhao, P. Xu, D. Lan, J. Chu, X. Tan, H. Yu, and Y. Yu, High-contrast ZZ interaction using superconducting qubits with opposite-sign anharmonicity, Phys. Rev. Lett. 125, 200503 (2020).
  25. J. Ku, X. Xu, M. Brink, D. C. McKay, J. B. Hertzberg, M. H. Ansari, and B. L. T. Plourde, Suppression of unwanted ZZ interactions in a hybrid two-qubit system, Phys. Rev. Lett. 125, 200504 (2020).
  26. X. Xu and M. H. Ansari, ZZ freedom in two-qubit gates, Phys. Rev. Appl. 15, 064074 (2021).
  27. S. Krinner, S. Lazar, A. Remm, C. K. Andersen, N. Lacroix, G. J. Norris, C. Hellings, M. Gabureac, C. Eichler, and A. Wallraff, Benchmarking coherent errors in controlled-phase gates due to spectator qubits, Phys. Rev. Appl. 14, 024042 (2020).
  28. P. Zhao, K. Linghu, Z. Li, P. Xu, R. Wang, G. Xue, Y. Jin, and H. Yu, Quantum crosstalk analysis for simultaneous gate operations on superconducting qubits, PRX Quantum 3, 020301 (2022).
  29. S. D. Fasciati, B. Shteynas, G. Campanaro, M. Bakr, S. Cao, V. Chidambaram, J. Wills, and P. J. Leek, Complementing the transmon by integrating a geometric shunt inductor, arXiv:2410.10416.
  30. F. Yan, P. Krantz, Y. Sung, M. Kjaergaard, D. L. Campbell, T. P. Orlando, S. Gustavsson, and W. D. Oliver, Tunable coupling scheme for implementing high-fidelity two-qubit gates, Phys. Rev. Appl. 10, 054062 (2018).
  31. F. Yan, S. Gustavsson, A. Kamal, J. Birenbaum, A. P. Sears, D. Hover, T. J. Gudmundsen, D. Rosenberg, G. Samach, S. Weber, et al., The flux qubit revisited to enhance coherence and reproducibility, Nat. Commun. 7, 12964 (2016).
  32. L. H. Pedersen, N. M. Møller, and K. Mølmer, Fidelity of quantum operations, Phys. Lett. A 367, 47 (2007).
  33. N. Lambert, E. Giguère, P. Menczel, B. Li, P. Hopf, G. Suárez, M. Gali, J. Lishman, R. Gadhvi, R. Agarwal, et al., QuTiP 5: The quantum toolbox in Python, arXiv:2412.04705.

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