Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms

TL;DR

This paper introduces a Floquet-based method for creating robust, high-fidelity two-qubit entangling gates in Rydberg atom ground states, enhancing error resilience and practicality for quantum computing.

Contribution

It presents a novel Floquet modulation technique for ground-state entangling gates in Rydberg atoms, improving robustness and reducing environmental susceptibility compared to previous schemes.

Findings

Achieves higher gate fidelity than previous methods.

Demonstrates robustness against Rabi and detuning errors.

Uses ground-state encoding for better environmental stability.

Abstract

We propose new applications of Floquet theory in Rydberg atoms for constructing quantum entangling gates in atomic ground-state manifolds. By dynamically periodically modulating the Rabi frequencies of transitions between ground and Rydberg states of atoms, error-resilient two-qubit entangling gates can be implemented in the regime of Rydberg blockade. According to different degrees of Floquet theory utilization, the fidelity of the resulting controlled gates surpasses that of the original reference, and it exhibits high robustness against Rabi error in two qubits and detuning error in the control qubit. Our method only uses encoding in the ground states, and compared to the original scheme using Rydberg state for encoding, it is less susceptible to environmental interference, making it more practical to implement. Therefore, our approach may have broader applications or potential for further expansion of geometric quantum computation with neutral atoms.