- Open Access
Fast Entangling Gates for Rydberg Atoms via Resonant Dipole-Dipole Interaction
PRX Quantum 6, 030308 – Published 17 July, 2025
DOI: https://doi.org/10.1103/5d8p-3hm1
Abstract
The advent of digital neutral-atom quantum computers relies on the development of fast and robust protocols for high-fidelity quantum operations. In this work, we introduce a novel scheme for entangling gates using four atomic levels per atom: a ground-state qubit and two Rydberg states. A laser field couples the qubit to one of the two Rydberg states, while a microwave field drives transitions between the two Rydberg states, enabling a resonant dipole-dipole interaction between different atoms. We show that controlled- gates can be realized in this scheme without requiring optical phase modulation and relying solely on a microwave field with time-dependent phase and amplitude. We demonstrate that such gates are faster and less sensitive to Rydberg decay than state-of-the-art Rydberg gates based on van der Waals interactions. Moreover, we systematically stabilize our protocol against interatomic distance fluctuations and analyze its performance in realistic setups with rubidium or cesium atoms. Our results open up new avenues to the use of microwave-driven dipolar interactions for quantum computation with neutral atoms.
Physics Subject Headings (PhySH)
Popular Summary
Accurate and high-speed quantum operations are essential building blocks for realizing useful quantum computers. Among various hardware platforms, neutral atoms have emerged as a promising candidate because of their remarkable scalability to large arrays with thousands of highly coherent qubits and the capability for atom rearrangement during computation. However, creating precise and controllable quantum operations that entangle pairs of qubits remains a key challenge. This work introduces a method that improves speed and simplifies control in realizing two-qubit gates, paving the way for scalable and robust quantum processors.
The presented protocol makes use of Rydberg atoms, neutral atoms excited to high-lying electronic states, which can interact strongly over long distances. Whereas traditional gate schemes rely on van der Waals interactions between Rydberg states, this approach employs a resonant dipole-dipole interaction between two distinct Rydberg levels, controlled through a combination of laser and microwave fields. A key benefit is the elimination of real-time optical phase control, typically required in conventional gate protocols. In addition, the method achieves a 20% speedup in gate execution compared with the state of the art, thus pushing the fundamental limit on achievable fidelity set by Rydberg decay. The protocol is also robust to fluctuations in atomic spacing and performs well under realistic experimental conditions using rubidium or cesium atoms.
These results demonstrate that microwave-driven dipolar interactions are a powerful tool for neutral-atom quantum computing. By improving both speed and control, the method developed in this work offers a promising path toward enhancing the precision of quantum logic operations.
Article Text
References (55)
- H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, Probing many-body dynamics on a 51-atom quantum simulator, Nature 551, 579 (2017).
- A. Keesling, A. Omran, H. Levine, H. Bernien, H. Pichler, S. Choi, R. Samajdar, S. Schwartz, P. Silvi, S. Sachdev, P. Zoller, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator, Nature 568, 207 (2019).
- S. Ebadi, T. T. Wang, H. Levine, A. Keesling, G. Semeghini, A. Omran, D. Bluvstein, R. Samajdar, H. Pichler, W. W. Ho, S. Choi, S. Sachdev, M. Greiner, V. Vuletić, and M. D. Lukin, Quantum phases of matter on a 256-atom programmable quantum simulator, Nature 595, 227 (2021).
- G. Semeghini, H. Levine, A. Keesling, S. Ebadi, T. T. Wang, D. Bluvstein, R. Verresen, H. Pichler, M. Kalinowski, R. Samajdar, A. Omran, S. Sachdev, A. Vishwanath, M. Greiner, V. Vuletić, and M. D. Lukin, Probing topological spin liquids on a programmable quantum simulator, Science 374, 1242 (2021).
- R. Tao, M. Ammenwerth, F. Gyger, I. Bloch, and J. Zeiher, High-fidelity detection of large-scale atom arrays in an optical lattice, Phys. Rev. Lett. 133, 013401 (2024).
- F. Gyger, M. Ammenwerth, R. Tao, H. Timme, S. Snigirev, I. Bloch, and J. Zeiher, Continuous operation of large-scale atom arrays in optical lattices, Phys. Rev. Res. 6, 033104 (2024).
- H. J. Manetsch, G. Nomura, E. Bataille, K. H. Leung, X. Lv, and M. Endres, A tweezer array with 6100 highly coherent atomic qubits, arXiv:2403.12021.
- D. Bluvstein et al., Logical quantum processor based on reconfigurable atom arrays, Nature 626, 58 (2024).
- K. Barnes et al., Assembly and coherent control of a register of nuclear spin qubits, Nat. Commun. 13, 2779 (2022).
- T. M. Graham, L. Phuttitarn, R. Chinnarasu, Y. Song, C. Poole, K. Jooya, J. Scott, A. Scott, P. Eichler, and M. Saffman, Midcircuit measurements on a single-species neutral alkali atom quantum processor, Phys. Rev. X 13, 041051 (2023).
- W. Huie, L. Li, N. Chen, X. Hu, Z. Jia, W. K. C. Sun, and J. P. Covey, Repetitive readout and real-time control of nuclear spin qubits in atoms, PRX Quantum 4, 030337 (2023).
- M. A. Norcia et al., Midcircuit qubit measurement and rearrangement in a atomic array, Phys. Rev. X 13, 041034 (2023).
- 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).
- 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).
- 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).
- T. M. Graham et al., Multi-qubit entanglement and algorithms on a neutral-atom quantum computer, Nature 604, 457 (2022).
- M. J. Bedalov et al., Fault-tolerant operation and materials science with neutral atom logical qubits, arXiv:2412.07670.
- G. Unnikrishnan, P. Ilzhöfer, A. Scholz, C. Hölzl, A. Götzelmann, R. K. Gupta, J. Zhao, J. Krauter, S. Weber, N. Makki, H. P. Büchler, T. Pfau, and F. Meinert, Coherent control of the fine-structure qubit in a single alkaline-earth atom, Phys. Rev. Lett. 132, 150606 (2024).
- S. Pucher, V. Klüsener, F. Spriestersbach, J. Geiger, A. Schindewolf, I. Bloch, and S. Blatt, Fine-structure qubit encoded in metastable strontium trapped in an optical lattice, Phys. Rev. Lett. 132, 150605 (2024).
- A. Cao, W. J. Eckner, T. L. Yelin, A. W. Young, S. Jandura, L. Yan, K. Kim, G. Pupillo, J. Ye, N. D. Oppong, and A. M. Kaufman, Multi-qubit gates and Schrödinger cat states in an optical clock, Nature 634, 315 (2024).
- R. Finkelstein, R. B.-S. Tsai, X. Sun, P. Scholl, S. Direkci, T. Gefen, J. Choi, A. L. Shaw, and M. Endres, Universal quantum operations and ancilla-based read-out for tweezer clocks, Nature 634, 321 (2024).
- S. Ma, A. P. Burgers, G. Liu, J. Wilson, B. Zhang, and J. D. Thompson, Universal gate operations on nuclear spin qubits in an optical tweezer array of atoms, Phys. Rev. X 12, 021028 (2022).
- 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 622, 279 (2023).
- 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 Rydberg states for high-fidelity two-qubit gates, arXiv:2406.01482.
- J. A. Muniz et al., High-fidelity universal gates in the ground state nuclear spin qubit, arXiv:2411.11708.
- 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).
- S. Jandura and G. Pupillo, Time-optimal two- and three-qubit gates for Rydberg atoms, Quantum 6, 712 (2022).
- C. Fromonteil, D. Bluvstein, and H. Pichler, Protocols for Rydberg entangling gates featuring robustness against quasistatic errors, PRX Quantum 4, 020335 (2023).
- C. Fromonteil, R. Tricarico, F. Cesa, and H. Pichler, Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes, Phys. Rev. Res. 6, 033333 (2024).
- 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).
- S. Jandura, J. D. Thompson, and G. Pupillo, Optimizing Rydberg gates for logical-qubit performance, PRX Quantum 4, 020336 (2023).
- 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. Henriet, L. Beguin, A. Signoles, T. Lahaye, A. Browaeys, G.-O. Reymond, and C. Jurczak, Quantum computing with neutral atoms, Quantum 4, 327 (2020).
- D. Yu, H. Wang, D. Ma, X. Zhao, and J. Qian, Adiabatic and high-fidelity quantum gates with hybrid Rydberg-Rydberg interactions, Opt. Express 27, 23080 (2019).
- 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).
- A. Garon, S. J. Glaser, and D. Sugny, Time-optimal control of SU(2) quantum operations, Phys. Rev. A 88, 043422 (2013).
- A. Smith, B. E. Anderson, H. Sosa-Martinez, C. A. Riofrío, I. H. Deutsch, and P. S. Jessen, Quantum control in the Cs ground manifold using radio-frequency and microwave magnetic fields, Phys. Rev. Lett. 111, 170502 (2013).
- B. E. Anderson, H. Sosa-Martinez, C. A. Riofrío, I. H. Deutsch, and P. S. Jessen, Accurate and robust unitary transformations of a high-dimensional quantum system, Phys. Rev. Lett. 114, 240401 (2015).
- B. Riaz, C. Shuang, and S. Qamar, Optimal control methods for quantum gate preparation: A comparative study, Quantum Inf. Process. 18, 100 (2019).
- P. Scholl, H. J. Williams, G. Bornet, F. Wallner, D. Barredo, L. Henriet, A. Signoles, C. Hainaut, T. Franz, S. Geier, A. Tebben, A. Salzinger, G. Zürn, T. Lahaye, M. Weidemüller, and A. Browaeys, Microwave engineering of programmable Hamiltonians in arrays of Rydberg atoms, PRX Quantum 3, 020303 (2022).
- F. Robicheaux, T. M. Graham, and M. Saffman, Photon-recoil and laser-focusing limits to Rydberg gate fidelity, Phys. Rev. A 103, 022424 (2021).
- L. S. Theis, F. Motzoi, F. K. Wilhelm, and M. Saffman, High-fidelity Rydberg-blockade entangling gate using shaped, analytic pulses, Phys. Rev. A 94, 032306 (2016).
- T. M. Graham, M. Kwon, B. Grinkemeyer, Z. Marra, X. Jiang, M. T. Lichtman, Y. Sun, M. Ebert, and M. Saffman, Rydberg-mediated entanglement in a two-dimensional neutral atom qubit array, Phys. Rev. Lett. 123, 230501 (2019).
- L. H. Pedersen, N. M. Møller, and K. Mølmer, Fidelity of quantum operations, Phys. Lett. A 367, 47 (2007).
- P. Virtanen et al., SciPy 1.0: Fundamental algorithms for scientific computing in Python, Nat. Methods 17, 261 (2020).
- C. S. Adams, J. D. Pritchard, and J. P. Shaffer, Rydberg atom quantum technologies, J. Phys. B: At., Mol. Opt. Phys. 53, 012002 (2019).
- S. Anand, C. E. Bradley, R. White, V. Ramesh, K. Singh, and H. Bernien, A dual-species Rydberg array, Nat. Phys. 20, 1744 (2024).
- G. Bornet, G. Emperauger, C. Chen, F. Machado, S. Chern, L. Leclerc, B. Gély, Y. T. Chew, D. Barredo, T. Lahaye, N. Y. Yao, and A. Browaeys, Enhancing a many-body dipolar Rydberg tweezer array with arbitrary local controls, Phys. Rev. Lett. 132, 263601 (2024).
- B. Meyer-Hoppe, M. Baron, C. Cassens, F. Anders, A. Idel, J. Peise, and C. Klempt, Dynamical low-noise microwave source for cold-atom experiments, Rev. Sci. Instrum. 94, 074705 (2023).
- S. Weber, C. Tresp, H. Menke, A. Urvoy, O. Firstenberg, H. P. Büchler, and S. Hofferberth, Calculation of Rydberg interaction potentials, J. Phys. B: At., Mol. Opt. Phys. 50, 133001 (2017).
- 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).
- I. I. Beterov, I. I. Ryabtsev, D. B. Tretyakov, and V. M. Entin, Quasiclassical calculations of blackbody-radiation-induced depopulation rates and effective lifetimes of Rydberg , , and alkali-metal atoms with , Phys. Rev. A 79, 052504 (2009).
- C. L. Vaillant, M. P. A. Jones, and R. M. Potvliege, Long-range Rydberg–Rydberg interactions in calcium, strontium and ytterbium, J. Phys. B: At., Mol. Opt. Phys. 45, 135004 (2012).
- https://zenodo.org/records/15826704.
- V. Buchemmavari, S. Omanakuttan, Y.-Y. Jau, and I. Deutsch, Entangling quantum logic gates in neutral atoms via the microwave-driven spin-flip blockade, Phys. Rev. A 109, 012615 (2024).
