Robust topological quantum state transfer with long-range interactions in Rydberg arrays
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AbstractWe 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.Featured image: Quantum state transfer in the extended Rice-Mele model. a)-e) Rydberg excitation probability distribution and lattice configuration at representative times during an edge-to-edge quantum state transfer protocol in the extended Rice–Mele model. Empty circles denote lattice sites with zero excitation probability, while filled circles indicate non-zero excitation probability, with color intensity proportional to the local population. f) Transfer fidelity $F$ as a function of the total transfer time $T$ for increasing chain lengths from $N=4$ to $N=16$. The inset shows the temporal variation of the geometrical parameters $b$ and $h$ and of the sublattice energy offset $\hbar\Delta$ during the transfer. The grey (white) background indicates parameter regions corresponding to the non-topological (topological) phase.► BibTeX data@article{Raupach2026robusttopological, doi = {10.22331/q-2026-08-13-2190}, url = {https://doi.org/10.22331/q-2026-08-13-2190}, title = {Robust topological quantum state transfer with long-range interactions in {R}ydberg arrays}, author = {Raupach, Siri and Olmos, Beatriz and Svendsen, Mathias B. M.}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {10}, pages = {2190}, month = aug, year = {2026} }► References [1] David P. DiVincenzo. ``The Physical Implementation of Quantum Computation''. Fortschr. Phys. 48, 771–783 (2000). https://doi.org/10.1002/1521-3978(200009)48:9/113.0.CO;2-E [2] Harry J. Kimble. ``The Quantum Internet''. 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A 106, 052411 (2022). https://doi.org/10.1103/PhysRevA.106.052411Cited byCould not fetch Crossref cited-by data during last attempt 2026-08-13 11:36:53: Could not fetch cited-by data for 10.22331/q-2026-08-13-2190 from Crossref. This is normal if the DOI was registered recently. Could not fetch ADS cited-by data during last attempt 2026-08-13 11:36:54: Cannot retrieve data from ADS due to rate limitations.This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions. AbstractWe 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.Featured image: Quantum state transfer in the extended Rice-Mele model. a)-e) Rydberg excitation probability distribution and lattice configuration at representative times during an edge-to-edge quantum state transfer protocol in the extended Rice–Mele model. Empty circles denote lattice sites with zero excitation probability, while filled circles indicate non-zero excitation probability, with color intensity proportional to the local population. f) Transfer fidelity $F$ as a function of the total transfer time $T$ for increasing chain lengths from $N=4$ to $N=16$. The inset shows the temporal variation of the geometrical parameters $b$ and $h$ and of the sublattice energy offset $\hbar\Delta$ during the transfer. The grey (white) background indicates parameter regions corresponding to the non-topological (topological) phase.► BibTeX data@article{Raupach2026robusttopological, doi = {10.22331/q-2026-08-13-2190}, url = {https://doi.org/10.22331/q-2026-08-13-2190}, title = {Robust topological quantum state transfer with long-range interactions in {R}ydberg arrays}, author = {Raupach, Siri and Olmos, Beatriz and Svendsen, Mathias B. M.}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {10}, pages = {2190}, month = aug, year = {2026} }► References [1] David P. DiVincenzo. ``The Physical Implementation of Quantum Computation''. Fortschr. Phys. 48, 771–783 (2000). https://doi.org/10.1002/1521-3978(200009)48:9/113.0.CO;2-E [2] Harry J. Kimble. ``The Quantum Internet''. Nature 453, 1023–1030 (2008). https://doi.org/10.1038/nature07127 [3] Bi-Hua Huang, Yi-Hao Kang, Ye-Hong Chen, Zhi-Cheng Shi, Jie Song, and Yan Xia. ``Quantum state transfer in spin chains via shortcuts to adiabaticity''. Phys. Rev. A 97, 012333 (2018). https://doi.org/10.1103/PhysRevA.97.012333 [4] Kamil Korzekwa, Paweł Machnikowski, and Paweł Horodecki. ``Quantum-state transfer in spin chains via isolated resonance of terminal spins''. Phys. Rev. A 89, 062301 (2014). https://doi.org/10.1103/PhysRevA.89.062301 [5] Sougato Bose. ``Quantum communication through an unmodulated spin chain''. Phys. Rev. Lett. 91, 207901 (2003). https://doi.org/10.1103/PhysRevLett.91.207901 [6] Matthias Christandl, Nilanjana Datta, Artur Ekert, and Andrew J. Landahl. ``Perfect state transfer in quantum spin networks''. Phys. Rev. Lett. 92, 187902 (2004). https://doi.org/10.1103/PhysRevLett.92.187902 [7] Amir H. Karamlou, Jochen Braumüller, Yariv Yanay, Agustin Di Paolo, Patrick M. 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A 106, 052411 (2022). https://doi.org/10.1103/PhysRevA.106.052411Cited byCould not fetch Crossref cited-by data during last attempt 2026-08-13 11:36:53: Could not fetch cited-by data for 10.22331/q-2026-08-13-2190 from Crossref. This is normal if the DOI was registered recently. Could not fetch ADS cited-by data during last attempt 2026-08-13 11:36:54: Cannot retrieve data from ADS due to rate limitations.This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.
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