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Fast quantum gates for neutral atoms separated by a few tens of micrometers

Matteo Bergonzoni1,*, Rosario Roberto Riso1,2, and Guido Pupillo1,†

  • *Contact author: bergonzoni@unistra.fr
  • Contact author: pupillo@unistra.fr

Phys. Rev. Research 8, 033319 – Published 15 September, 2026

DOI: https://doi.org/10.1103/hjrh-4327

Abstract

We present a theoretical scheme for a family of fast and high-fidelity two-qubit iswap gates between neutral atoms separated by more than 20µm, enabled by resonant dipole-dipole spin-exchange interactions between Rydberg states. The protocol harnesses coherent excitation-exchange-deexcitation dynamics between the qubit and the Rydberg states within a single and smooth laser pulse, in the presence of strong dipole-dipole interactions. We utilize optimal control methods to achieve theoretical gate fidelities and durations comparable to blockade-based gates in the presence of relevant noise, while extending the effective interaction range by an order of magnitude. This enables entanglement well beyond the blockade radius, offering a route toward fast, high-connectivity quantum processors.

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References (67)

  1. M. Saffman, T. G. Walker, and K. Mølmer, Quantum information with Rydberg atoms, Rev. Mod. Phys. 82, 2313 (2010).
  2. M. Morgado and S. Whitlock, Quantum simulation and computing with Rydberg-interacting qubits, AVS Quantum Sci. 3, 023501 (2021).
  3. S. J. Evered, D. Bluvstein, M. Kalinowski, S. Ebadi, T. Manovitz, H. Zhou, S. H. Li, A. A. Geim, T. T. Wang, N. Maskara, H. Levine, G. Semeghini, M. Greiner, V. Vuletić, and M. D. Lukin, High-fidelity parallel entangling gates on a neutral-atom quantum computer, Nature (London) 622, 268 (2023).
  4. S. Ma, G. Liu, P. Peng, B. Zhang, S. Jandura, J. Claes, A. P. Burgers, G. Pupillo, S. Puri, and J. D. Thompson, High-fidelity gates and mid-circuit erasure conversion in an atomic qubit, Nature (London) 622, 279 (2023).
  5. R. B.-S. Tsai, X. Sun, A. L. Shaw, R. Finkelstein, and M. Endres, Benchmarking and fidelity response theory of high-fidelity Rydberg entangling gates, PRX Quantum 6, 010331 (2025).
  6. J. A. Muniz, M. Stone, D. T. Stack, M. Jaffe, J. M. Kindem, L. Wadleigh, E. Zalys-Geller, X. Zhang, C.-A. Chen, M. A. Norcia, et al., High-fidelity universal gates in the Yb171 ground-state nuclear-spin qubit, PRX Quantum 6, 020334 (2025).
  7. D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, Fast quantum gates for neutral atoms, Phys. Rev. Lett. 85, 2208 (2000).
  8. S. Jandura and G. Pupillo, Time-optimal two- and three-qubit gates for Rydberg atoms, Quantum 6, 712 (2022).
  9. H. Levine, A. Keesling, G. Semeghini, A. Omran, T. T. Wang, S. Ebadi, H. Bernien, M. Greiner, V. Vuletić, H. Pichler, and M. D. Lukin, Parallel implementation of high-fidelity multiqubit gates with neutral atoms, Phys. Rev. Lett. 123, 170503 (2019).
  10. A. Radnaev, W. Chung, D. Cole, D. Mason, T. Ballance, M. Bedalov, D. Belknap, M. Berman, M. Blakely, I. Bloomfield et al., Universal neutral-atom quantum computer with individual optical addressing and nondestructive readout, PRX Quantum 6, 030334 (2025).
  11. M. Peper, Y. Li, D. Y. Knapp, M. Bileska, S. Ma, G. Liu, P. Peng, B. Zhang, S. P. Horvath, A. P. Burgers, and J. D. Thompson, Spectroscopy and modeling of Yb171 Rydberg states for high-fidelity two-qubit gates, Phys. Rev. X 15, 011009 (2025).
  12. J.-L. Wu, Y. Wang, J.-X. Han, Y.-K. Feng, S.-L. Su, Y. Xia, Y. Jiang, and J. Song, One-step implementation of Rydberg-antiblockade SWAP and controlled-SWAP gates with modified robustness, Photon. Res. 9, 814 (2021).
  13. J.-L. Wu, Y. Wang, J.-X. Han, S.-L. Su, Y. Xia, Y. Jiang, and J. Song, Unselective ground-state blockade of Rydberg atoms for implementing quantum gates, Front. Phys. 17, 22501 (2022).
  14. W.-X. Li, J.-L. Wu, S.-L. Su, and J. Qian, High-tolerance antiblockade swap gates using optimal pulse drivings, Phys. Rev. A 109, 012608 (2024).
  15. S.-L. Su and W. Li, Dipole-dipole-interaction–driven antiblockade of two Rydberg atoms, Phys. Rev. A 104, 033716 (2021).
  16. M. Saffman, Quantum computing with atomic qubit arrays: Confronting the cost of connectivity, arXiv:2505.11218.
  17. G. Pichard, D. Lim, E. Bloch, J. Vaneecloo, L. Bourachot, G.-J. Both, G. Mériaux, S. Dutartre, R. Hostein, J. Paris, B. Ximenez, A. Signoles, A. Browaeys, T. Lahaye, and D. Dreon, Rearrangement of individual atoms in a 2000-site optical-tweezer array at cryogenic temperatures, Phys. Rev. Appl. 22, 024073 (2024).
  18. H. Zhou, C. Zhao, M. Cain, D. Bluvstein, N. Maskara, C. Duckering, H.-Y. Hu, S.-T. Wang, A. Kubica, and M. D. Lukin, Low-overhead transversal fault tolerance for universal quantum computation, Nature (London) 646, 303 (2025).
  19. I. N. Ashkarin, S. Lepoutre, P. Pillet, I. I. Beterov, I. I. Ryabtsev, and P. Cheinet, Long-range CCΦ gates via radio-frequency-induced Förster resonances, Phys. Rev. Res. 7, 013034 (2025).
  20. D. Kurdak, P. R. Banner, Y. Li, S. R. Muleady, A. V. Gorshkov, S. L. Rolston, and J. V. Porto, Enhancement of Rydberg blockade via microwave dressing, Phys. Rev. Lett. 134, 123404 (2025).
  21. A. Cesa and J. Martin, Two-qubit entangling gates between distant atomic qubits in a lattice, Phys. Rev. A 95, 052330 (2017).
  22. Y. Sun, Buffer-atom-mediated quantum logic gates with off-resonant modulated driving, Sci. China: Phys. Mech. Astron. 67, 120311 (2024).
  23. G. Doultsinos and D. Petrosyan, Quantum gates between distant atoms mediated by a Rydberg excitation antiferromagnet, Phys. Rev. Res. 7, 023246 (2025).
  24. A. Reinhard, T. C. Liebisch, B. Knuffman, and G. Raithel, Level shifts of rubidium Rydberg states due to binary interactions, Phys. Rev. A 75, 032712 (2007).
  25. Y. Chew, T. Tomita, T. P. Mahesh, S. Sugawa, S. de Léséleuc, and K. Ohmori, Ultrafast energy exchange between two single Rydberg atoms on a nanosecond timescale, Nat. Photon. 16, 724 (2022).
  26. P. Méhaignerie, Y. Machu, A. Durán Hernández, G. Creutzer, D. J. Papoular, J. M. Raimond, C. Sayrin, and M. Brune, Interacting circular Rydberg atoms trapped in optical tweezers, PRX Quantum 6, 010353 (2025).
  27. G. Emperauger, M. Qiao, G. Bornet, C. Chen, R. Martin, Y. T. Chew, B. Gély, L. Klein, D. Barredo, A. Browaeys, and T. Lahaye, Benchmarking direct and indirect dipolar spin-exchange interactions between two Rydberg atoms, Phys. Rev. A 111, 062806 (2025).
  28. G. Giudici, S. Veroni, G. Giudice, H. Pichler, and J. Zeiher, Fast entangling gates for Rydberg atoms via resonant dipole-dipole interaction, PRX Quantum 6, 030308 (2025).
  29. J. T. Young, P. Bienias, R. Belyansky, A. M. Kaufman, and A. V. Gorshkov, Asymmetric blockade and multiqubit gates via dipole-dipole interactions, Phys. Rev. Lett. 127, 120501 (2021).
  30. E. Crane, A. Schuckert, N. H. Le, and A. J. Fisher, Rydberg entangling gates in silicon, Phys. Rev. Res. 3, 033086 (2021).
  31. P. Ildefonso, A. Byun, A. Konovalov, J. Kazemi, M. Schuler, and W. Lechner, Expanding the neutral atom gate set: Native iswap and exchange gates from dipolar Rydberg interactions, arXiv:2512.05037.
  32. See Supplemental Material at https://link.aps.org/supplemental/10.1103/hjrh-4327 for details on the optimization algorithm, physical implementation, and fidelity, which also include Refs. [54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67].
  33. K.-K. Ni, T. Rosenband, and D. D. Grimes, Dipolar exchange quantum logic gate with polar molecules, Chem. Sci. 9, 6830 (2018).
  34. C. M. Holland, Y. Lu, and L. W. Cheuk, On-demand entanglement of molecules in a reconfigurable optical tweezer array, Science 382, 1143 (2023).
  35. Y. Bao, S. S. Yu, L. Anderegg, E. Chae, W. Ketterle, K.-K. Ni, and J. M. Doyle, Dipolar spin-exchange and entanglement between molecules in an optical tweezer array, Science 382, 1138 (2023).
  36. L. R. B. Picard, A. J. Park, G. E. Patenotte, S. Gebretsadkan, D. Wellnitz, A. M. Rey, and K.-K. Ni, Entanglement and iSWAP gate between molecular qubits, Nature (London) 637, 821 (2025).
  37. D. K. Ruttley, T. R. Hepworth, A. Guttridge, and S. L. Cornish, Long-lived entanglement of molecules in magic-wavelength optical tweezers, Nature (London) 637, 827 (2025).
  38. M. Bergonzoni, S. Jandura, and G. Pupillo, iSWAP gate with polar molecules: Robustness criteria for entangling operations, Phys. Rev. A 112, 032621 (2025).
  39. D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, et al., Logical quantum processor based on reconfigurable atom arrays, Nature (London) 626, 58 (2024).
  40. A. Pagano, S. Weber, D. Jaschke, T. Pfau, F. Meinert, S. Montangero, and H. P. Büchler, Error budgeting for a controlled-phase gate with strontium-88 Rydberg atoms, Phys. Rev. Res. 4, 033019 (2022).
  41. M. Mohan, R. de Keijzer, and S. Kokkelmans, Robust control and optimal Rydberg states for neutral atom two-qubit gates, Phys. Rev. Res. 5, 033052 (2023).
  42. N. Khaneja, T. Reiss, C. Kehlet, T. Schulte-Herbrüggen, and S. J. Glaser, Optimal control of coupled spin dynamics: Design of NMR pulse sequences by gradient ascent algorithms, J. Magn. Reson. 172, 296 (2005).
  43. F. Robicheaux, T. M. Graham, and M. Saffman, Photon-recoil and laser-focusing limits to Rydberg gate fidelity, Phys. Rev. A 103, 022424 (2021).
  44. Z. Zuo, M. Fukusen, Y. Tamaki, T. Watanabe, Y. Nakagawa, and K. Nakagawa, Single atom Rydberg excitation in a small dipole trap, Opt. Express 17, 22898 (2009).
  45. L. Pecorari, S. Jandura, and G. Pupillo, Low-depth quantum error correction via three-qubit gates in Rydberg atom arrays, Phys. Rev. Lett. 135, 240602 (2025).
  46. A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation, Phys. Rev. A 86, 032324 (2012).
  47. J. Old, S. Tasler, M. J. Hartmann, and M. Müller, Fault-tolerant stabilizer measurements in surface codes with three-qubit gates, Phys. Rev. Lett. 135, 240601 (2025).
  48. L. Pecorari, S. Jandura, G. K. Brennen, and G. Pupillo, High-rate quantum LDPC codes for long-range-connected neutral atom registers, Nat. Commun. 16, 1111 (2025).
  49. J. M. Baker, A. Litteken, C. Duckering, H. Hoffmann, H. Bernien, and F. T. Chong, Exploiting long-distance interactions and tolerating atom loss in neutral atom quantum architectures, in Proceedings of the 48th Annual International Symposium on Computer Architecture (ISCA '21), Virtual Event, Spain (IEEE Press, 2021), pp. 818–831.
  50. M. A. Tremblay, N. Delfosse, and M. E. Beverland, Constant-overhead quantum error correction with thin planar connectivity, Phys. Rev. Lett. 129, 050504 (2022).
  51. S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, High-threshold and low-overhead fault-tolerant quantum memory, Nature (London) 627, 778 (2024).
  52. Q. Xu, J. P. Bonilla Ataides, C. A. Pattison, N. Raveendran, D. Bluvstein, J. Wurtz, B. Vasić, M. D. Lukin, L. Jiang, and H. Zhou, Constant-overhead fault-tolerant quantum computation with reconfigurable atom arrays, Nat. Phys. 20, 1084 (2024).
  53. C. Poole, T. M. Graham, M. A. Perlin, M. Otten, and M. Saffman, Architecture for fast implementation of quantum low-density parity-check codes with optimized Rydberg gates, Phys. Rev. A 111, 022433 (2025).
  54. A. Uhlmann, The “transition probability” in the state space of a *-algebra, Rep. Math. Phys. 9, 273 (1976).
  55. N. Šibalić, J. Pritchard, C. Adams, and K. Weatherill, Arc: An open-source library for calculating properties of alkali Rydberg atoms, Comput. Phys. Commun. 220, 319 (2017).
  56. L. Chomaz, I. Ferrier-Barbut, F. Ferlaino, B. Laburthe-Tolra, B. L. Lev, and T. Pfau, Dipolar physics: A review of experiments with magnetic quantum gases, Rep. Prog. Phys. 86, 026401 (2023).
  57. M. L. Wall, K. Maeda, and L. D. Carr, Realizing unconventional quantum magnetism with symmetric top molecules, New J. Phys. 17, 025001 (2015).
  58. P. Virtanen, R. Gommers, T. E. Oliphant, M. Haberland, T. Reddy, D. Cournapeau, E. Burovski, P. Peterson, W. Weckesser, J. Bright, et al., SciPy 1.0: Fundamental algorithms for scientific computing in Python, Nat. Methods 17, 261 (2020).
  59. R. J. P. T. de Keijzer, O. Tse, and S. J. J. M. F. Kokkelmans, Recapture probability for antitrapped Rydberg states in optical tweezers, Phys. Rev. A 108, 023122 (2023).
  60. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2010).
  61. K.-J. Boller, A. Imamoğlu, and S. E. Harris, Observation of electromagnetically induced transparency, Phys. Rev. Lett. 66, 2593 (1991).
  62. D. Møller, L. B. Madsen, and K. Mølmer, Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage, Phys. Rev. Lett. 100, 170504 (2008).
  63. A. M. Hankin, Y.-Y. Jau, L. P. Parazzoli, C. W. Chou, D. J. Armstrong, A. J. Landahl, and G. W. Biedermann, Two-atom Rydberg blockade using direct 6s to np excitation, Phys. Rev. A 89, 033416 (2014).
  64. B. Li, M. Li, X. Jiang, J. Qian, X. Li, L. Liu, and Y. Wang, Optical spectroscopy of np Rydberg states of Rb87 atoms with a 297-nm ultraviolet laser, Phys. Rev. A 99, 042502 (2019).
  65. M. Saffman, Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges, J. Phys. B: At. Mol. Opt. Phys. 49, 202001 (2016).
  66. Y.-Y. Jau, A. M. Hankin, T. Keating, I. H. Deutsch, and G. W. Biedermann, Entangling atomic spins with a Rydberg-dressed spin-flip blockade, Nat. Phys. 12, 71 (2016).
  67. M. Bergonzoni and G. Pupillo, Pulse data for “Fast quantum gates for neutral atoms separated by a few tens of micrometers”, figshare data repository (2025), https://doi.org/10.6084/m9.figshare.30739526.

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