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    Nonperturbative Switching Rates in Bistable Open Quantum Systems: From Driven Kerr Oscillators to Dissipative Cat Qubits

    Léon Carde1,2,*, Ronan Gautier2, Nicolas Didier2, Alexandru Petrescu1, Joachim Cohen2, and Alexander McDonald3

    • *Contact author: leon.carde@alice-bob.com

    Phys. Rev. Lett. 136, 100402 – Published 9 March, 2026

    DOI: https://doi.org/10.1103/q981-pd5j

    Abstract

    In this Letter, we use path integral techniques to predict the switching rate in a single-mode bistable open quantum system. While analytical expressions are well-known to be accessible for systems subject to Gaussian noise obeying classical detailed balance, we extend this approach to a class of open quantum systems, those which satisfy the recently introduced notion of hidden time-reversal symmetry [D. Roberts et al., PRX Quantum 2, 020336 (2021)]. In particular, in the context of quantum computing, we obtain analytical estimates of bit-flip error rates in cat-qubit architectures. We confirm these findings by comparing our results to numerically exact diagonalization of the Lindbladian. Our results provide a path towards exploring switching phenomena in multistable open quantum systems.

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