- Open Access
Autonomously designed pulses for robust, site-selective control of atomic qubits
Phys. Rev. Applied 25, 064057 – Published 17 June, 2026
DOI: https://doi.org/10.1103/dspx-fgp2
Abstract
Quantum computers based on cold-atom arrays offer long-lived qubits with programmable connectivity, yet the relatively low fidelity of site-selective, single-qubit control limits their programmability. We introduce an artificial-intelligence (AI) framework that overcomes this limitation. Trained on atom-laser dynamics in the presence of atomic motion in optical tweezers, a deep neural network autonomously designs robust composite pulses that increase local control fidelities tenfold while remaining compatible with existing control hardware. We further demonstrate the robustness of these pulses regarding optical aberrations and beam misalignment. This approach establishes AI-trained pulse compilation for high-fidelity qubit control, and can be readily extended to other atomlike platforms, such as trapped ions and solid-state color centers.
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References (63)
- P. Scholl, M. Schuler, H. J. Williams, A. A. Eberharter, D. Barredo, Kai-Niklas Schymik, V. Lienhard, Louis-Paul Henry, T. C. Lang, T. Lahaye, A. M. Läuchli, and A. Browaeys, Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms, Nature 595, 233 (2021).
- A. L. Shaw, Z. Chen, J. Choi, D. K. Mark, P. Scholl, R. Finkelstein, A. Elben, S. Choi, and M. Endres, Benchmarking highly entangled states on a 60-atom analogue quantum simulator, Nature 628, 71 (2024).
- S. Ebadi et al., Quantum optimization of maximum independent set using Rydberg atom arrays, Science 376, 1209 (2022).
- D. Bluvstein et al., Logical quantum processor based on reconfigurable atom arrays, Nature 626, 58 (2024).
- T. Manovitz, S. H. Li, S. Ebadi, R. Samajdar, A. A. Geim, S. J. Evered, D. Bluvstein, H. Zhou, N. U. Koyluoglu, J. Feldmeier, P. E. Dolgirev, N. Maskara, M. Kalinowski, S. Sachdev, D. A. Huse, M. Greiner, V. Vuletić, and M. D. Lukin, Quantum coarsening and collective dynamics on a programmable simulator, Nature 638, 86 (2025).
- M. A. Norcia, A. W. Young, W. J. Eckner, E. Oelker, J. Ye, and A. M. Kaufman, Seconds-scale coherence on an optical clock transition in a tweezer array, Science 366, 93 (2019).
- K. Barnes et al., Assembly and coherent control of a register of nuclear spin qubits, Nat. Commun. 13, 2779 (2022).
- S. Park, M. Notaros, A. Mohanty, D. Kim, J. Notaros, and S. Mouradian, Technologies for modulation of visible light and their applications, Prog. Quantum Electron. 97, 100534 (2024).
- H. Levine, D. Bluvstein, A. Keesling, T. T. Wang, S. Ebadi, G. Semeghini, A. Omran, M. Greiner, V. Vuletić, and M. D. Lukin, Dispersive optical systems for scalable Raman driving of hyperfine qubits, Phys. Rev. A 105, 032618 (2022).
- 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 622, 268 (2023).
- D. Barredo, S. De Léséleuc, V. Lienhard, T. Lahaye, and A. Browaeys, An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays, Science 354, 1021 (2016).
- D. Bluvstein, H. Levine, G. Semeghini, T. T. Wang, S. Ebadi, M. Kalinowski, A. Keesling, N. Maskara, H. Pichler, M. Greiner, V. Vuletić, and M. D. Lukin, A quantum processor based on coherent transport of entangled atom arrays, Nature 604, 451 (2022).
- A. L. Shaw, R. Finkelstein, R. B.-S. Tsai, P. Scholl, T. H. Yoon, J. Choi, and M. Endres, Multi-ensemble metrology by programming local rotations with atom movements, Nat. Phys. 20, 195 (2024).
- D. B. Tan, D. Bluvstein, M. D. Lukin, and J. Cong, Compiling quantum circuits for dynamically field-programmable neutral atoms array processors, Quantum 8, 1281 (2024).
- A. G. Radnaev et al., Universal neutral-atom quantum computer with individual optical addressing and nondestructive readout, PRX Quantum 6, 030334 (2025).
- J. W. Lis, A. Senoo, W. F. McGrew, F. Rönchen, A. Jenkins, and A. M. Kaufman, Midcircuit operations using the omg architecture in neutral atom arrays, Phys. Rev. X 13, 041035 (2023).
- P. Sales Rodriguez et al., Experimental demonstration of logical magic state distillation, Nature 645, 620 (2025).
- J. A. Muniz et al., High-fidelity universal gates in the ground-state nuclear-spin qubit, PRX Quantum 6, 020334 (2025).
- J. D. Thompson, T. G. Tiecke, A. S. Zibrov, V. Vuletić, and M. D. Lukin, Coherence and Raman sideband cooling of a single atom in an optical tweezer, Phys. Rev. Lett. 110, 133001 (2013).
- S. Spence, R. V. Brooks, D. K. Ruttley, A. Guttridge, and S. L. Cornish, Preparation of and in the motional ground state of a single optical tweezer, New J. Phys. 24, 103022 (2022).
- K. Khodjasteh and L. Viola, Dynamically error-corrected gates for universal quantum computation, Phys. Rev. Lett. 102, 080501 (2009).
- A. M. Souza, G. A. Álvarez, and D. Suter, Robust dynamical decoupling, Philos. Trans. R. Soc. A 370, 4748 (2012).
- G. Wolfowicz and J. J. Morton, in eMagRes, edited by R. K. Harris and R. L. Wasylishen (John Wiley & Sons, Ltd, Chichester, UK, 2016), p. 1515.
- S. Wimperis, Broadband, narrowband, and passband composite pulses for use in advanced NMR experiments, J. Magn. Reson. A 109, 221 (1994).
- K. R. Brown, A. W. Harrow, and I. L. Chuang, Arbitrarily accurate composite pulse sequences, Phys. Rev. A 70, 052318 (2004).
- C. Kabytayev, T. J. Green, K. Khodjasteh, M. J. Biercuk, L. Viola, and K. R. Brown, Robustness of composite pulses to time-dependent control noise, Phys. Rev. A 90, 012316 (2014).
- H.-N. Wu, C. Zhang, J. Song, Y. Xia, and Z.-C. Shi, Composite pulses for optimal robust control in two-level systems, Phys. Rev. A 107, 023103 (2023).
- A. Mercurio, Y.-T. Huang, L.-X. Cai, Y.-N. Chen, V. Savona, and F. Nori, QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems, Quantum 9, 1866 (2025).
- M. Rossignolo, T. Reisser, A. Marshall, P. Rembold, A. Pagano, P. J. Vetter, R. S. Said, M. M. Müller, F. Motzoi, T. Calarco, F. Jelezko, and S. Montangero, QuOCS: The quantum optimal control suite, Comput. Phys. Commun. 291, 108782 (2023).
- Z.-C. Shi, J.-T. Ding, Y.-H. Chen, J. Song, Y. Xia, X. X. Yi, and F. Nori, Supervised learning for robust quantum control in composite-pulse systems, Phys. Rev. Appl. 21, 044012 (2024).
- W. Gong and S. Choi, Robust and parallel control of many qubits, ArXiv:2312.08426.
- F. Sauvage and F. Mintert, Optimal control of families of quantum gates, Phys. Rev. Lett. 129, 050507 (2022).
- M.-Y. Mao, Z. Cheng, Y. Xia, A. M. Oleś, and W.-L. You, Machine-learning-inspired quantum optimal control of nonadiabatic geometric quantum computation via reverse engineering, Phys. Rev. A 108, 032616 (2023).
- N. A. C. Morazotti, A. H. Da Silva, G. Audi, F. F. Fanchini, and R. D. J. Napolitano, Optimized continuous dynamical decoupling via differential geometry and machine learning, Phys. Rev. A 110, 042601 (2024).
- H. Hutin, P. Bilous, C. Ye, S. Abdollahi, L. Cros, T. Dvir, T. Shah, Y. Cohen, A. Bienfait, F. Marquardt, and B. Huard, Preparing Schrödinger cat states in a microwave cavity using a neural network, PRX Quantum 6, 010321 (2025).
- M. Mohan, J. De Hond, and S. Kokkelmans, Parametrized multiqubit gates for neutral-atom quantum platforms, Phys. Rev. Appl. 23, 054074 (2025).
- M. Kuzmanović, I. Moskalenko, Y.-H. Chang, O. Stanisavljević, C. Warren, E. Hogedal, A. Aggarwal, I. Ahmad, J. Biznárová, M. Dahiya, M. Rommel, A. Nylander, G. Tancredi, and G. S. Paraoanu, Neural-network-based design and implementation of fast and robust quantum gates, ArXiv:2505.02054.
- D. Kim, A. Keesling, A. Omran, H. Levine, H. Bernien, M. Greiner, M. D. Lukin, and D. R. Englund, Large-scale uniform optical focus array generation with a phase spatial light modulator, Opt. Lett. 44, 3178 (2019).
- See Supplemental Material http://link.aps.org/supplemental/10.1103/dspx-fgp2 for additional details on deep reinforcement learning, error analysis, focus array generation, and spectral analysis. The Supplemental Material includes citations of Refs. [56, 57, 58, 59, 60, 61, 62, 63].
- M. Y. Niu, S. Boixo, V. N. Smelyanskiy, and H. Neven, Universal quantum control through deep reinforcement learning, npj Quantum Inf. 5, 33 (2019).
- T. Fösel, P. Tighineanu, T. Weiss, and F. Marquardt, Reinforcement learning with neural networks for quantum feedback, Phys. Rev. X 8, 031084 (2018).
- Y. T. Chew, M. Poitrinal, T. Tomita, S. Kitade, J. Mauricio, K. Ohmori, and S. De Léséleuc, Ultraprecise holographic optical tweezer array, Phys. Rev. A 110, 053518 (2024).
- G. Pichard, D. Lim, É. 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).
- S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, Analysis of dephasing mechanisms in a standing-wave dipole trap, Phys. Rev. A 72, 023406 (2005).
- X. Wang, J. Jiang, L.-Y. Xie, D.-H. Zhang, and C.-Z. Dong, Polarizabilities and tune-out wavelengths of the hyperfine ground states of , Phys. Rev. A 94, 052510 (2016).
- J. Braat and P. Török, Imaging Optics (Cambridge University Press, Cambridge, 2019).
- B. Zhang, P. Peng, A. Paul, and J. D. Thompson, Scaled local gate controller for optically addressed qubits, Optica 11, 227 (2024).
- A. G. De Oliveira, E. Diamond-Hitchcock, D. M. Walker, M. T. Wells-Pestell, G. Pelegrí, C. J. Picken, G. P. A. Malcolm, A. J. Daley, J. Bass, and J. D. Pritchard, Demonstration of weighted-graph optimization on a Rydberg-atom array using local light shifts, PRX Quantum 6, 010301 (2025).
- 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).
- L. Van Damme, Z. Zhang, A. Devra, S. J. Glaser, and A. Alberti, Motion-insensitive time-optimal control of optical qubits, Quantum Sci. Technol. 10, 035025 (2025).
- Z. Zhang, L. V. Damme, M. Rossignolo, L. Festa, M. Melchner, R. Eberhard, D. Tsevas, K. Mours, E. Reches, J. Zeiher, S. Blatt, I. Bloch, S. J. Glaser, and A. Alberti, Recoil-free quantum gates with optical qubits, ArXiv:2408.04622.
- A. D. Leu, M. F. Gely, M. A. Weber, M. C. Smith, D. P. Nadlinger, and D. M. Lucas, Fast, high-fidelity addressed single-qubit gates using efficient composite pulse sequences, Phys. Rev. Lett. 131, 120601 (2023).
- E. Hyyppä, A. Vepsäläinen, M. Papič, C. F. Chan, S. Inel, A. Landra, W. Liu, J. Luus, F. Marxer, C. Ockeloen-Korppi, S. Orbell, B. Tarasinski, and J. Heinsoo, Reducing leakage of single-qubit gates for superconducting quantum processors using analytical control pulse envelopes, PRX Quantum 5, 030353 (2024).
- H. G. Tonchev, B. T. Torosov, and N. V. Vitanov, Robust, fast, and high-fidelity composite single-qubit gates for superconducting transmon qubits, Phys. Rev. A 112, 012605 (2025).
- T. Xie, Z. Zhao, S. Xu, X. Kong, Z. Yang, M. Wang, Y. Wang, F. Shi, and J. Du, 99.92%-fidelity cnot gates in solids by noise filtering, Phys. Rev. Lett. 130, 030601 (2023).
- J. A. Arnaud and H. Kogelnik, Gaussian light beams with general astigmatism, Appl. Opt. 8, 1687 (1969).
- R. Grimm, M. Weidemüller, and Y. B. Ovchinnikov, in Advances In Atomic, Molecular, and Optical Physics (Academic Press, San Diego, 2000), Vol. 42, p. 95.
- C. Tuchendler, A. M. Lance, A. Browaeys, Y. R. P. Sortais, and P. Grangier, Energy distribution and cooling of a single atom in an optical tweezer, Phys. Rev. A 78, 033425 (2008).
- J. Viquerat, J. Rabault, A. Kuhnle, H. Ghraieb, A. Larcher, and E. Hachem, Direct shape optimization through deep reinforcement learning, J. Comput. Phys. 428, 110080 (2021).
- N. Matsumoto, T. Inoue, T. Ando, Y. Takiguchi, Y. Ohtake, and H. Toyoda, High-quality generation of a multispot pattern using a spatial light modulator with adaptive feedback, Opt. Lett. 37, 3135 (2012).
- F. Nogrette, H. Labuhn, S. Ravets, D. Barredo, L. Béguin, A. Vernier, T. Lahaye, and A. Browaeys, Single-atom trapping in holographic 2D Arrays of microtraps with arbitrary geometries, Phys. Rev. X 4, 021034 (2014).
- H. Tamura, T. Unakami, J. He, Y. Miyamoto, and K. Nakagawa, Highly uniform holographic microtrap arrays for single atom trapping using a feedback optimization of in-trap fluorescence measurements, Opt. Express 24, 8132 (2016).
- T. J. Green, J. Sastrawan, H. Uys, and M. J. Biercuk, Arbitrary quantum control of qubits in the presence of universal noise, New J. Phys. 15, 095004 (2013).