Rabi-error and Blockade-error-resilient All-Geometric Rydberg Quantum Gates

TL;DR

This paper introduces a robust two-qubit geometric gate scheme for Rydberg atoms that enhances resistance to control and blockade errors, promising improved fidelity in neutral atom quantum computing.

Contribution

It presents a novel hybrid geometric gate scheme combining non-adiabatic and adiabatic processes to improve robustness against specific quantum errors.

Findings

Numerical simulations confirm increased robustness against Rabi and blockade errors.

Analysis of motion-induced dephasing and leakage errors shows their impact on fidelity.

The scheme demonstrates potential for systematic error-tolerant quantum computation.

Abstract

We propose a nontrivial two-qubit gate scheme in which Rydberg atoms are subject to designed pulses resulting from geometric evolution processes. By utilizing a hybrid robust non-adiabatic and adiabatic geometric operations on the control atom and target atom, respectively, we improve the robustness of two-qubit Rydberg gate against Rabi control errors as well as blockade errors in comparison with the conventional two-qubit blockade gate. Numerical results with the current state-of-the-art experimental parameters corroborates the above mentioned robustness. We also evaluated the influence induced by the motion-induced dephasing and the dipole-dipole interaction and imperfection excitation induced leakage errors, which both could decrease the gate fidelity. Our scheme provides a promising route towards systematic control error (Rabi error) as well as blockade error tolerant geometric quantum computation on neutral atom system.