Quantum Gate for Kerr Nonlinear Parametric Oscillator Using Effective Excited States

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.

9 pages, 6 figures

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Cited by in corpus (15)

• The squeezed Kerr oscillator: spectral kissing and phase-flip robustness
• Observation and manipulation of quantum interference in a superconducting Kerr parametric oscillator
• Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
• Two-qubit gate using conditional driving for highly detuned Kerr-nonlinear parametric oscillators
• Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding
• Control of the $ZZ$ coupling between Kerr-cat qubits via transmon couplers
• Dynamical gauge fields with bosonic codes
• Fast elementary gates for universal quantum computation with Kerr parametric oscillator qubits
• Critical quantum geometric tensors of parametrically-driven nonlinear resonators
• Non-adiabatic holonomic quantum operations in continuous variable systems
• Unraveling the switching dynamics in a quantum double-well potential
• Residual-$ZZ$-coupling suppression and fast two-qubit gate for Kerr-cat qubits based on level-degeneracy engineering
• Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives
• High-performance conditional-driving gate for Kerr parametric oscillator qubits
• Four-body coupler for superconducting qubits based on Josephson parametric oscillators