Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts

TL;DR

This paper proposes a path-design strategy for nonadiabatic geometric quantum gates that are specifically robust against qubit-frequency drifts, enhancing gate fidelity and robustness in superconducting circuits.

Contribution

It introduces a novel path-design approach to make nonadiabatic geometric gates insensitive to qubit-frequency drifts, addressing a key error source in superconducting quantum computing.

Findings

The proposed scheme achieves robustness against qubit-frequency drifts.

Numerical simulations confirm enhanced gate fidelity.

The method can be integrated with composite schemes for further robustness.

Abstract

Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions that induce geometric phases, thereby smearing their noise-resilient feature. In a recent experiment [Y. Xu et al., Phys. Rev. Lett. 124, 230503 (2020)], high-fidelity universal geometric quantum gates have been implemented in a superconducting circuit, which are robust to different types of errors under different configurations of the geometric evolution paths. Here, we apply the path-design strategy to explain in detail why both configurations can realize universal quantum gates in a single-loop way. Meanwhile, we purposefully induce our geometric manipulation by selecting the path configuration that is robust against the qubit-frequency-drift induced error, which is the dominant error source on realistic superconducting circuits and has not been deliberately addressed. Moreover, our proposal can further integrate with the composite scheme to enhance the gate robustness, which is verified by numerical simulations. Therefore, our scheme provides a promising way towards practical realization of high-fidelity and robust nonadiabatic geometric quantum gates.