Quantum Gate for a Kerr Nonlinear Parametric Oscillator Using Effective Excited States
Taro Kanao, Shumpei Masuda, Shiro Kawabata, Hayato Goto
Abstract
A Kerr nonlinear parametric oscillator (KPO) can stabilize a quantum superposition of two coherent states with opposite phases, which can be used as a qubit. In a universal gate set for quantum computation with KPOs, an ${R}_{x}$ gate, which interchanges the two coherent states, is relatively hard to perform owing to the stability of the two states. We propose a method for a high-fidelity ${R}_{x}$ gate by exciting the KPO outside the qubit space with parity-selective transitions, which can be implemented by only adding a driving field. In this method, the utilization of higher effective excited states leads to a faster ${R}_{x}$ gate, rather than states near the qubit space. The proposed method can realize a continuous ${R}_{x}$ gate and thus is expected to be useful for, e.g., recently proposed variational quantum algorithms.