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  • Letter
  • Open Access

High-fidelity molecular quantum logic gates resilient to interaction fluctuation

Yan Lu and Xiao-Feng Shi*

  • Center for Theoretical Physics and School of Physics and Optoelectronic Engineering, Hainan University, Haikou 570228, China

  • *Contact author: xshi@hainanu.edu.cn

Phys. Rev. Research 8, L042004 – Published 14 October, 2026

DOI: https://doi.org/10.1103/5k4z-dgn2

Abstract

Optically trapped polar molecules are promising for quantum information processing, yet the accuracy of an entangling molecular gate is limited by the uncertainty of dipole-dipole interactions (DDI) from the molecular motion in traps. We show that two π pulses of global microwave excitation can yield a spin-echo controlled-phase gate when assisted by two single-qubit gates, where the gate is resilient to the uncertainty of DDI because it strongly suppresses populating DDI-coupled states. Further, the controlled phase is fully tunable by varying the relative phase of the two global microwave pulses, and, hence, is applicable in a wide range of quantum algorithms involving quantum Fourier transform. We introduce a motional-mode separation technique to quantum mechanically study the influence of the molecular motion, which shows that the motion-induced infidelity of the gate can be below 0.0001 with typical experimental conditions.

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References (32)

  1. D. DeMille, Quantum computation with trapped polar molecules, Phys. Rev. Lett. 88, 067901 (2002).
  2. J. Zhu, S. Kais, Q. Wei, D. Herschbach, and B. Friedrich, Implementation of quantum logic gates using polar molecules in pendular states, J. Chem. Phys. 138, 024104 (2013).
  3. S. F. Yelin, K. Kirby, and R. Côté, Schemes for robust quantum computation with polar molecules, Phys. Rev. A 74, 050301(R) (2006).
  4. K.-K. Ni, T. Rosenband, and D. D. Grimes, Dipolar exchange quantum logic gate with polar molecules, Chem. Sci. 9, 6830 (2018).
  5. M. Hughes, M. D. Frye, R. Sawant, G. Bhole, J. A. Jones, S. L. Cornish, M. R. Tarbutt, J. M. Hutson, D. Jaksch, and J. Mur-Petit, Robust entangling gate for polar molecules using magnetic and microwave fields, Phys. Rev. A 101, 062308 (2020).
  6. T. V. Tscherbul, J. Ye, and A. M. Rey, Robust nuclear spin entanglement via dipolar interactions in polar molecules, Phys. Rev. Lett. 130, 143002 (2023).
  7. M. Bergonzoni, S. Jandura, and G. Pupillo, iSWAP gate with polar molecules: Robustness criteria for entangling operations, Phys. Rev. A 112, 032621 (2025).
  8. S. K. Muminov, E. O. Kiktenko, A. S. Nikolaeva, D. A. Drozhzhin, S. I. Matveenko, A. K. Fedorov, and G. V. Shlyapnikov, Scalable platform for qudit-based quantum computing using polar molecules, Phys. Rev. Res. 8, 023014 (2026).
  9. 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).
  10. 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).
  11. S. S. Yu, A. Periwal, J. You, Z. Liu, Q. Lyu, Y. Cho, L. Anderegg, E. Chae, and J. M. Doyle, High-fidelity entanglement of polar molecules by dynamic geometric control, arXiv:2607.13008.
  12. A. Schindewolf, R. Bause, X.-Y. Chen, M. Duda, T. Karman, I. Bloch, and X.-Y. Luo, Evaporation of microwave-shielded polar molecules to quantum degeneracy, Nature (London) 607, 677 (2022).
  13. S. L. Cornish, M. R. Tarbutt, and K. R. A. Hazzard, Quantum computation and quantum simulation with ultracold molecules, Nat. Phys. 20, 730 (2024).
  14. 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).
  15. C. M. Holland, Y. Lu, and L. W. Cheuk, On-demand entanglement of molecules in a reconfigurable optical tweezer array, Science 382, 1143 (2023).
  16. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
  17. C. M. Holland, Y. Lu, S. J. Li, C. L. Welsh, and L. W. Cheuk, Demonstration of measurement-enhanced state preparation and erasure conversion in a molecular tweezer array, Phys. Rev. X 15, 031018 (2025).
  18. The state labeled |↓〉 here corresponds to the state |1〉 in Ref. [10].
  19. X.-F. Shi and Y. Lu, Fast nuclear-spin entangling gates compatible with large-scale atomic arrays, Phys. Rev. A 110, 012610 (2024).
  20. Y. Lu and X.-F. Shi, Fast measurement-based generation of large-scale Greenberger–Horne–Zeilinger state with atomic nuclear-spin qubits, Quantum Sci. Technol. 11, 015048 (2026).
  21. See Supplemental Material at https://link.aps.org/supplemental/10.1103/5k4z-dgn2 for details on the realization of single-site addressing and the single-qubit phase gate, the derivation of the truncated DDI operator, and calculation of the gate fidelity, which includes Refs. [22, 23, 24].
  22. X.-F. Shi, Rydberg quantum gates free from blockade error, Phys. Rev. Appl. 7, 064017 (2017).
  23. X.-F. Shi, Accurate quantum logic gates by spin echo in Rydberg atoms, Phys. Rev. Appl. 10, 034006 (2018).
  24. H. J. Manetsch, G. Nomura, E. Bataille, X. Lv, K. H. Leung, and M. Endres, A tweezer array with 6100 highly coherent atomic qubits, Nature (London) 647, 60 (2025).
  25. L. R. B. Picard, G. E. Patenotte, A. J. Park, S. F. Gebretsadkan, and K.-K. Ni, Site-selective preparation and multistate readout of molecules in optical tweezers, PRX Quantum 5, 020344 (2024).
  26. J. M. Mortlock, A. P. Raghuram, B. P. Maddox, P. D. Gregory, and S. L. Cornish, Multi-state detection and spatial addressing in a microscope for ultracold molecules, Nat. Commun. 17, 518 (2025).
  27. X.-F. Shi, Quantum logic and entanglement by neutral Rydberg atoms: Methods and fidelity, Quantum Sci. Technol. 7, 023002 (2022).
  28. L. H. j. Pedersen, N. M. Møller, and K. Mølmer, Fidelity of quantum operations, Phys. Lett. A 367, 47 (2007).
  29. Y. Lu and X.-F. Shi, Asymmetric quantum Rabi model, trap-dipole resonance, and quantum gates with optically trapped ultracold polar molecules, Quantum Sci. Technol. (2026).
  30. J. Johansson, P. Nation, and F. Nori, QuTip: An open-source Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 183, 1760 (2012).
  31. J. Johansson, P. Nation, and F. Nori, QuTip 2: A Python framework for the dynamics of open quantum systems, Comput. Phys. Commun. 184, 1234 (2013).
  32. T. R. Hepworth, D. K. Ruttley, F. von Gierke, P. D. Gregory, A. Guttridge, and S. L. Cornish, Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules, Nat. Commun. 16, 7131 (2025).

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