- Open Access
Efficient control of fluxonium qubits via nonadiabatic transitions
Phys. Rev. Research 7, 033183 – Published 22 August, 2025
DOI: https://doi.org/10.1103/4s4k-rf6x
Abstract
The fluxonium qubit is a promising platform for quantum operations due to its large anharmonicity and long coherence time. However, conventional resonant driving methods often require long operation times and complex implementation. As an alternative, nonadiabatic transitions induced by a time-dependent external flux can enable faster and simpler control by exploiting quantum interference between multiple transition paths. Existing approaches typically impose periodicity or symmetry on , which can limit control efficiency. We propose a design strategy for that relaxes these constraints. We demonstrate the effectiveness of this approach in two key scenarios: population inversion and adiabatic passage. Numerical simulations show that our method achieves higher control efficiency than existing schemes, emphasizing the advantage of breaking periodicity and symmetry. Furthermore, by incorporating decoherence effects using the Lindblad master equation, we confirm that the proposed scheme remains robust under realistic conditions.
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References (31)
- J.-Q. You and F. Nori, Atomic physics and quantum optics using superconducting circuits, Nature (London) 474, 589 (2011).
- M. H. Devoret and R. J. Schoelkopf, Superconducting circuits for quantum information: An outlook, Science 339, 1169 (2013).
- X. Gu, A. F. Kockum, A. Miranowicz, Y.-X. Liu, and F. Nori, Microwave photonics with superconducting quantum circuits, Phys. Rep. 718–719, 1 (2017).
- S. Bravyi, O. Dial, J. M. Gambetta, D. Gil, and Z. Nazario, The future of quantum computing with superconducting qubits, J. Appl. Phys. 132, 160902 (2022).
- F. Bao, H. Deng, D. Ding, R. Gao, X. Gao, C. Huang, X. Jiang, H.-S. Ku, Z. Li, X. Ma et al., Fluxonium: An alternative qubit platform for high-fidelity operations, Phys. Rev. Lett. 129, 010502 (2022).
- E. A. Sete, W. J. Zeng, and C. T. Rigetti, A functional architecture for scalable quantum computing, in Proceedings of the 2016 IEEE International Conference on Rebooting Computing (ICRC) (IEEE, 2016), pp. 1–6.
- G. S. Mazhorin, A. S. Kaz'mina, T. A. Chudakova, I. Simakov, N. Maleeva, I. Moskalenko, and V. Ryazanov, Scalable quantum processor based on superconducting fluxonium qubits, Radiophys. Quantum Electron. 66, 893 (2024).
- 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).
- 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).
- W. D. Oliver, Y. Yu, J. C. Lee, K. K. Berggren, L. S. Levitov, and T. P. Orlando, Mach-Zehnder interferometry in a strongly driven superconducting qubit, Science 310, 1653 (2005).
- S. Shevchenko, S. Ashhab, and F. Nori, Landau-Zener-Stückelberg interferometry, Phys. Rep. 492, 1 (2010).
- A. I. Ryzhov, O. V. Ivakhnenko, S. N. Shevchenko, M. F. Gonzalez-Zalba, and F. Nori, Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, Phys. Rev. Res. 6, 033340 (2024).
- S. Krøjer, A. E. Dahl, K. S. Christensen, M. Kjaergaard, and K. Flensberg, Fast universal control of a flux qubit via exponentially tunable wave-function overlap, Phys. Rev. Res. 6, 023064 (2024).
- O. V. Ivakhnenko, S. N. Shevchenko, and F. Nori, Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference, Phys. Rep. 995, 1 (2023).
- D. L. Campbell, Y.-P. Shim, B. Kannan, R. Winik, D. K. Kim, A. Melville, B. M. Niedzielski, J. L. Yoder, C. Tahan, S. Gustavsson, and W. D. Oliver, Universal nonadiabatic control of small-gap superconducting qubits, Phys. Rev. X 10, 041051 (2020).
- S. Ashhab, J. R. Johansson, A. M. Zagoskin, and F. Nori, Two-level systems driven by large-amplitude fields, Phys. Rev. A 75, 063414 (2007).
- T. V. Stefanski and C. K. Andersen, Flux-pulse-assisted readout of a fluxonium qubit, Phys. Rev. Appl. 22, 014079 (2024).
- T. Jones, K. Steven, X. Poncini, M. Rose, and A. Fedorov, Approximations in transmon simulation, Phys. Rev. Appl. 16, 054039 (2021).
- M. Abdelhafez, B. Baker, A. Gyenis, P. Mundada, A. A. Houck, D. Schuster, and J. Koch, Universal gates for protected superconducting qubits using optimal control, Phys. Rev. A 101, 022321 (2020).
- M. Bukov, A. G. R. Day, D. Sels, P. Weinberg, A. Polkovnikov, and P. Mehta, Reinforcement learning in different phases of quantum control, Phys. Rev. X 8, 031086 (2018).
- Y. Teranishi and H. Nakamura, Control of time-dependent nonadiabatic processes by an external field, Phys. Rev. Lett. 81, 2032 (1998).
- Y. Teranishi and H. Nakamura, New way of controlling molecular processes by time-dependent external fields, J. Chem. Phys. 111, 1415 (1999).
- 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).
- L. B. Nguyen, G. Koolstra, Y. Kim, A. Morvan, T. Chistolini, S. Singh, K. N. Nesterov, C. Jünger, L. Chen, Z. Pedramrazi, B. K. Mitchell, J. M. Kreikebaum, S. Puri, D. I. Santiago, and I. Siddiqi, Blueprint for a high-performance fluxonium quantum processor, PRX Quantum 3, 037001 (2022).
- 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).
- C. C. Marston and G. G. Balint-Kurti, The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions, J. Chem. Phys. 91, 3571 (1989).
- S. Morita, Faster annealing schedules for quantum annealing, J. Phys. Soc. Jpn. 76, 104001 (2007).
- D. J. Tannor, Introduction to Quantum Mechanics (University Science Books, 2007), Chap. 15.
- M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press, 2010), Chap. 8.
- M. Fox, Quantum Optics: An Introduction, Oxford Master Series in Physics (Oxford University Press, Oxford, 2006).
- https://github.com/yee0804/single-fluxonium-control.git.