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arXiv:2601.19713 · Quantum

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

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

quant-phSubmitted Jan 27, 2026• Announced Jan 28, 2026• 0 citations• Revised Aug 4, 2026 (v2)
v1 · Jan 27, 2026v2 · Aug 4, 2026
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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.

Journal reference
Quantum 10, 2190 (2026)
DOI
10.22331/q-2026-08-13-2190
Comments
16 pages, 8 figures

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Abstract Fast and robust quantum state transfer (QST) is a major requirement in quantum control and in scalable quantum information processing. Topological protection has emerged as a promising route for the realization of QST robust against sizable imperfections in the network. Here, a scheme is presented for robust QST of topologically protected edge states in a dimeric Su–Schrieffer–Heeger spin chain assisted by Landau–Zener tunneling. As compared to topological QST protocols based on Rabi flopping proposed in recent works, the method is more advantageous in terms of robustness against both diagonal and off‐diagonal disorder in the chain, without a substantial increase of the interaction time.
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