- Open Access
Fast initialization of Bell states with Schrödinger cats in multimode systems
Phys. Rev. Research 8, 013218 – Published 26 February, 2026
DOI: https://doi.org/10.1103/55bj-gmdv
Abstract
Schrödinger cat states play an important role for applications in continuous variable quantum information technologies. As macroscopic superpositions, they are inherently protected against certain types of noise making cat qubits a promising candidate for quantum computing. It has been shown recently that cat states occur naturally in driven Kerr parametric oscillators as degenerate ground states with even and odd parity that are adiabatically connected to the respective lowest two Fock states by switching off the drive. To perform operations with several cat qubits, one crucial task is to create entanglement between them. Here, we demonstrate efficient transformations of multimode cat states through adiabatic and diabatic switching between Kerr-type Hamiltonians with degenerate ground-state manifolds. These transformations can be used to directly initialize the cats as entangled Bell states in contrast to initializing them from entangled Fock states.
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References (29)
- P. T. Cochrane, G. J. Milburn, and W. J. Munro, Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping, Phys. Rev. A 59, 2631 (1999).
- O. Milul, B. Guttel, U. Goldblatt, S. Hazanov, L. M. Joshi, D. Chausovsky, N. Kahn, E. Çiftyürek, F. Lafont, and S. Rosenblum, Superconducting cavity qubit with tens of milliseconds single-photon coherence time, PRX Quantum 4, 030336 (2023).
- C. Berdou, A. Murani, U. Reglade, W. C. Smith, M. Villiers, J. Palomo, M. Rosticher, A. Denis, P. Morfin, M. Delbecq, et al., One hundred second bit-flip time in a two-photon dissipative oscillator, PRX Quantum 4, 020350 (2023).
- R. Lescanne, M. Villiers, T. Peronnin, A. Sarlette, M. Delbecq, B. Huard, T. Kontos, M. Mirrahimi, and Z. Leghtas, Exponential suppression of bit-flips in a qubit encoded in an oscillator, Nat. Phys. 16, 509 (2020).
- Z. Leghtas, S. Touzard, I. M. Pop, A. Kou, B. Vlastakis, A. Petrenko, K. M. Sliwa, A. Narla, S. Shankar, M. J. Hatridge, et al., Confining the state of light to a quantum manifold by engineered two-photon loss, Science 347, 853 (2015).
- U. Réglade, A. Bocquet, R. Gautier, J. Cohen, A. Marquet, E. Albertinale, N. Pankratova, M. Hallén, F. Rautschke, L.-A. Sellem, et al., Quantum control of a cat qubit with bit-flip times exceeding ten seconds, Nature 629, 778 (2024).
- S. Puri, S. Boutin, and A. Blais, Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving, npj Quantum Inf. 3, 18 (2017).
- 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).
- Z. Wang, M. Pechal, E. A. Wollack, P. Arrangoiz-Arriola, M. Gao, N. R. Lee, and A. H. Safavi-Naeini, Quantum dynamics of a few-photon parametric oscillator, Phys. Rev. X 9, 021049 (2019).
- D. Iyama, T. Kamiya, S. Fujii, H. Mukai, Y. Zhou, T. Nagase, A. Tomonaga, R. Wang, J.-J. Xue, S. Watabe, et al., Observation and manipulation of quantum interference in a superconducting Kerr parametric oscillator, Nat. Commun. 15, 86 (2024).
- L. Gravina, F. Minganti, and V. Savona, Critical Schrödinger cat qubit, PRX Quantum 4, 020337 (2023).
- R. Gautier, A. Sarlette, and M. Mirrahimi, Combined dissipative and Hamiltonian confinement of cat qubits, PRX Quantum 3, 020339 (2022).
- M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, and M. H. Devoret, Dynamically protected cat-qubits: A new paradigm for universal quantum computation, New J. Phys. 16, 045014 (2014).
- D. Ruiz, R. Gautier, J. Guillaud, and M. Mirrahimi, Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies, Phys. Rev. A 107, 042407 (2023).
- S. Puri, L. St-Jean, J. A. Gross, A. Grimm, N. E. Frattini, P. S. Iyer, A. Krishna, S. Touzard, L. Jiang, A. Blais, et al., Bias-preserving gates with stabilized cat qubits, Sci. Adv. 6, eaay5901 (2020).
- T. Kanao, S. Masuda, S. Kawabata, and H. Goto, Quantum gate for a Kerr nonlinear parametric oscillator using effective excited states, Phys. Rev. Appl. 18, 014019 (2022).
- D. Hoshi, T. Nagase, S. Kwon, D. Iyama, T. Kamiya, S. Fujii, H. Mukai, S. Ahmed, A. F. Kockum, S. Watabe, et al., Entangling Schrödinger's cat states by bridging discrete-and continuous-variable encoding, Nat. Commun. 16, 1309 (2025).
- H. Goto, Universal quantum computation with a nonlinear oscillator network, Phys. Rev. A 93, 050301(R) (2016).
- H. Chono, T. Kanao, and H. Goto, Two-qubit gate using conditional driving for highly detuned Kerr nonlinear parametric oscillators, Phys. Rev. Res. 4, 043054 (2022).
- H. Chono and H. Goto, High-performance conditional-driving gate for Kerr parametric oscillator qubits, APL Quantum 2, 016110 (2025).
- Q. Xu, J. K. Iverson, F. G. S. L. Brandão, and L. Jiang, Engineering fast bias-preserving gates on stabilized cat qubits, Phys. Rev. Res. 4, 013082 (2022).
- S. Masuda, T. Kanao, H. Goto, Y. Matsuzaki, T. Ishikawa, and S. Kawabata, Fast tunable coupling scheme of Kerr parametric oscillators based on shortcuts to adiabaticity, Phys. Rev. Appl. 18, 034076 (2022).
- J.-J. Xue, K.-H. Yu, W.-X. Liu, X. Wang, and H.-R. Li, Fast generation of cat states in Kerr nonlinear resonators via optimal adiabatic control, New J. Phys. 24, 053015 (2022).
- M. Kounalakis, C. Dickel, A. Bruno, N. K. Langford, and G. A. Steele, Tuneable hopping and nonlinear cross-Kerr interactions in a high-coherence superconducting circuit, npj Quantum Inf. 4, 38 (2018).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/55bj-gmdv for further details.
- B.-Y. Wang, H.-L. Zhang, S.-B. Yang, F. Wu, Z.-B. Yang, and S.-B. Zheng, Scheme for measuring topological transitions in a continuous variable system, Adv. Quantum Technol. 6, 2300068 (2023).
- Y.-H. Kang, Y.-H. Chen, X. Wang, J. Song, Y. Xia, A. Miranowicz, S.-B. Zheng, and F. Nori, Nonadiabatic geometric quantum computation with cat-state qubits via invariant-based reverse engineering, Phys. Rev. Res. 4, 013233 (2022).
- In rare instances, the fidelity may degrade with a slight increase in or when the errors arising from a finite-rate adiabatic ramp partially cancel the geometric deviation between the proto-state and the ideal state. Note also that the data points in the extreme top-right corner of Fig. 5 (high and high fidelity) are at the limit of our numerical precision.
- M. Resch, Fast-initialization of- bell-states-with-schroedinger-cats-in-multi-mode-systems, Github (2026), https://github.com/miriamresch/fast-initialization-of-bell-states-with-schroedinger-cats-in-multi-mode-systems.