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arXiv · 2601.19713

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

Siri Raupach·Beatriz Olmos·Mathias B. M. Svendsen
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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.

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Siri Raupach, Beatriz Olmos, Mathias B. M. Svendsen. 2026-01-27. Robust topological quantum state transfer with long-range interactions in Rydberg arrays. https://doi.org/10.22331/q-2026-08-13-2190

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