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Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies

Diego Ruiz1,2,*, Ronan Gautier2, Jérémie Guillaud1, and Mazyar Mirrahimi2

  • 1Alice & Bob, 53 Bd du Général Martial Valin, 75015 Paris, France
  • 2Laboratoire de Physique de l'École Normale Supérieure, École Normale Supérieure, Centre Automatique et Systèmes, Mines Paris, Université PSL, Sorbonne Université, CNRS, Inria, 75005 Paris

  • *diego.ruiz@alice-bob.com
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Phys. Rev. A 107, 042407 – Published 6 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042407

Abstract

Kerr nonlinear oscillators driven by a two-photon process are promising systems to encode quantum information and to ensure a hardware-efficient scaling towards fault-tolerant quantum computation. In this paper, we show that an extra control parameter, the detuning of the two-photon drive with respect to the oscillator resonance, plays a crucial role in the properties of the defined qubit. At specific values of this detuning, we benefit from strong symmetries in the system, leading to multiple degeneracies in the spectrum of the effective confinement Hamiltonian. Overall, these degeneracies lead to a stronger suppression of bit-flip errors. We also study the combination of such Hamiltonian confinement with colored dissipation to suppress leakage outside of the bosonic code space. We show that the additional degeneracies allow us to perform fast and high-fidelity gates while preserving a strong suppression of bit-flip errors.

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Phys. Rev. A 107, 042407– Published 6 April, 2023
  • Received 22 December 2022
  • Accepted 20 March 2023
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