Robust topological quantum state transfer with long-range interactions in Rydberg arrays

TL;DR

This paper presents a theoretical framework for fast, robust, and high-fidelity topological quantum state transfer in one-dimensional systems with long-range interactions, specifically in Rydberg atom chains, leveraging topologically protected edge states.

Contribution

It introduces a novel approach utilizing long-range couplings to enhance energy gaps and improve quantum state transfer fidelity in topological models.

Findings

Long-range interactions increase energy gaps, boosting transfer efficiency.

Edge states enable high-fidelity transfer via time-independent and adiabatic protocols.

Transfer robustness persists despite positional disorder due to topological protection.

Abstract

We develop a theoretical framework for fast, robust and high-fidelity topological quantum state transfer in one-dimensional systems with long-range couplings, motivated by chains of Rydberg atoms with dipole-dipole interactions. Such long-range interactions naturally give rise to extended Su-Schrieffer-Heeger and Rice-Mele models supporting topologically protected edge states. We show that these edge states enable high-fidelity edge-to-edge excitation transfer using both time-independent protocols, based on coherent edge state dynamics, and time-dependent protocols, based on adiabatic modulation of system parameters. Long-range couplings play a central role by enhancing the relevant energy gaps, leading to a substantial improvement in transfer efficiency compared to nearest neighbour models. The resulting transfer is robust against positional disorder, reflecting its topological origin and highlighting the potential of long-range interacting platforms for reliable quantum state transfer.