Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade

TL;DR

This paper presents a protocol for implementing robust nonadiabatic holonomic quantum gates using Rydberg atoms, with high fidelity and dissipation mitigation, advancing quantum computation in noisy environments.

Contribution

It introduces a new scheme for atomic NHQC utilizing Rydberg blockade and auxiliary atoms, enhancing robustness and fidelity in dissipative conditions.

Findings

High-fidelity quantum gates achieved with designed laser pulses.

Decays can be heralded by auxiliary atom measurement.

Nearly perfect unitary evolution possible in dissipative environments.

Abstract

We propose a protocol to realize atomic nonadiabatic holonomic quantum computation (NHQC) with two computational atoms and an auxiliary atom. Dynamics of the system is analyzed in the regime of Rydberg blockade, and robust laser pulses are designed via reverse engineering, so that quantum gates can be easily realized with high fidelities. In addition, we also study the evolution suffering from dissipation with a master equation. The result indicates that decays of atoms can be heralded by measuring the state of the auxiliary atom, and nearly perfect unitary evolution can be obtained if the auxiliary atom remains in its Rydberg state. Therefore, the protocol may be helpful to realize NHQC in dissipative environment.