Super-robust nonadiabatic geometric quantum control

TL;DR

This paper introduces a super-robust nonadiabatic geometric quantum control scheme that enhances the robustness and speed of quantum gates, outperforming previous methods and applicable across various quantum platforms.

Contribution

The paper proposes a novel super-robust condition for nonadiabatic geometric gates, improving their robustness and speed over existing NGQC and NHQC methods.

Findings

Significantly improved gate performance in simulations.

Applicable to multiple physical quantum systems.

Outperforms previous geometric and dynamical schemes.

Abstract

Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates. However, in terms of robustness against experimental control errors, the existing NGQC and NHQC scenarios have no advantage over standard dynamical gates in most cases. Here, we give the reasons why nonadiabatic geometric gates are sensitive to the control errors and, further, we propose a scheme of super-robust nonadiabatic geometric quantum control, in which the super-robust condition can guarantee both high speed and robustness of the geometric gate. To illustrate the working mechanism of super-robust geometric quantum gates, we give two simple examples of SR-NGQC and SR-NHQC for two- and three-level quantum systems, respectively. Theoretical and numerical results with the experimental parameters indicate that our scheme can significantly improve the gate performance compared to the previous NGQC, NHQC, and standard dynamical schemes. Super-robust geometric quantum computation can be applied to various physical platforms such as superconducting qubits, quantum dots, and trapped ions. All of these sufficiently show that our scheme provides a promising way towards robust geometric quantum computation.