2020/09/30 by Shumpei Masuda, Toyofumi Ishikawa, Yuichiro Matsuzaki +1
Computer Science · Physics and Astronomy · #Field (mathematics) #Parametric oscillator #Parametric statistics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum computer #Quantum many-body systems #Qubit #Transmon #quant-ph
paper · pdf · doi:10.1038/s41598-021-90874-4
published as Sci. Rep. 11, 11459 (2021)
arxiv created 2021/06/01 · openalex publication_date 2021/06/01 · arxiv updated 2021/06/02 · openalex created_date 2021/06/07 · openalex updated_date 2026/08/05
Pumped at approximately twice the natural frequency, a Josephson parametric oscillator called parametron or Kerr parametric oscillator shows self-oscillation. Quantum annealing and universal quantum computation using self-oscillating parametrons as qubits were proposed. However, controls of parametrons under the pump field are degraded by unwanted rapidly oscillating terms in the Hamiltonian, which we call non-resonant rapidly oscillating terms (NROTs) coming from the violation of the rotating wave approximation. Therefore, the pump field can be an intrinsic origin of the imperfection of controls of parametrons. Here, we theoretically study the influence of the NROTs on the accuracy of controls of a parametron: a cat-state creation and a single-qubit gate. It is shown that there is a trade-off relationship between the suppression of the nonadiabatic transitions and the validity of the rotating wave approximation in a conventional approach. We also show that the tailored time dependence of the detuning of the pump field can suppress both of the nonadiabatic transitions and the disturbance of the state of the parametron due to the NROTs.