Controls of a superconducting quantum parametron under a strong pump field

TL;DR

This paper investigates how non-resonant rapidly oscillating terms affect the control accuracy of superconducting parametrons under strong pump fields, proposing a tailored detuning method to improve control fidelity.

Contribution

It provides a theoretical analysis of NROTs impact on parametron control and introduces a detuning strategy to mitigate these effects.

Findings

NROTs degrade control accuracy of parametrons.

A trade-off exists between suppressing nonadiabatic transitions and RWA validity.

Tailored pump detuning can suppress both nonadiabatic transitions and NROT disturbances.

Abstract

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.