Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Plane-selective manipulations of nuclear spin qubits in a three-dimensional optical tweezer array

Toshi Kusano*, Yuma Nakamura, Rei Yokoyama, Naoya Ozawa, Kosuke Shibata, Tetsushi Takano, Yosuke Takasu, and Yoshiro Takahashi

  • Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan

  • *Contact author: kusano@yagura.scphys.kyoto-u.ac.jp

Phys. Rev. Research 7, L022045 – Published 30 May, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022045

Abstract

One of the central challenges for a practical fault-tolerant quantum computer is scalability. A three-dimensional structure of optical tweezer arrays offers the potential for scaling up neutral atom processors. However, coherent local operations, essential for quantum error correction, have yet to be explored for this platform. Here, we demonstrate plane-by-plane initialization of nuclear spin qubits of Yb171 atoms in a three-dimensional atom array and plane-dependent coherent temporal evolution of qubits, as well as plane-selective qubit manipulation by exploiting the plane-selective excitation of the atoms from the S01 to the P23 state. This plane-selective manipulation technique paves the way for quantum computing and quantum simulation in three-dimensional multilayer architectures.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (121)

  1. Y. Alexeev, D. Bacon, K. R. Brown, R. Calderbank, L. D. Carr, F. T. Chong, B. DeMarco, D. Englund, E. Farhi, B. Fefferman, A. V. Gorshkov, A. Houck, J. Kim, S. Kimmel, M. Lange, S. Lloyd, M. D. Lukin, D. Maslov, P. Maunz, C. Monroe et al., Quantum computer systems for scientific discovery, PRX Quantum 2, 017001 (2021).
  2. E. Altman, K. R. Brown, G. Carleo, L. D. Carr, E. Demler, C. Chin, B. DeMarco, S. E. Economou, M. A. Eriksson, K.-M. C. Fu, M. Greiner, K. R. Hazzard, R. G. Hulet, A. J. Kollár, B. L. Lev, M. D. Lukin, R. Ma, X. Mi, S. Misra, C. Monroe et al., Quantum simulators: Architectures and opportunities, PRX Quantum 2, 017003 (2021).
  3. A. M. Kaufman and K.-K. Ni, Quantum science with optical tweezer arrays of ultracold atoms and molecules, Nat. Phys. 17, 1324 (2021).
  4. A. Ludlow, “Tweezer clock” offers new possibilities in timekeeping, Physics 12, 141 (2019).
  5. A. Browaeys and T. Lahaye, Many-body physics with individually controlled Rydberg atoms, Nat. Phys. 16, 132 (2020).
  6. M. Morgado and S. Whitlock, Quantum simulation and computing with Rydberg-interacting qubits, AVS Quantum Sci. 3, 023501 (2021).
  7. M. Saffman, T. G. Walker, and K. Mølmer, Quantum information with Rydberg atoms, Rev. Mod. Phys. 82, 2313 (2010).
  8. M. Saffman, Quantum computing with atomic qubits and Rydberg interactions: progress and challenges, J. Phys. B 49, 202001 (2016).
  9. 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).
  10. D. González-Cuadra, D. Bluvstein, M. Kalinowski, R. Kaubruegger, N. Maskara, P. Naldesi, T. V. Zache, A. M. Kaufman, M. D. Lukin, H. Pichler, B. Vermersch, J. Ye, and P. Zoller, Fermionic quantum processing with programmable neutral atom arrays, Proc. Natl. Acad. Sci. USA 120, e2304294120 (2023).
  11. M. E. Beverland, P. Murali, M. Troyer, K. M. Svore, T. Hoefler, V. Kliuchnikov, G. H. Low, M. Soeken, A. Sundaram, and A. Vaschillo, Assessing requirements to scale to practical quantum advantage, arXiv:2211.07629.
  12. N. Yoshioka, T. Okubo, Y. Suzuki, Y. Koizumi, and W. Mizukami, Hunting for quantum-classical crossover in condensed matter problems, npj Quantum Inf. 10, 45 (2024).
  13. A. Derevianko and H. Katori, Colloquium: Physics of optical lattice clocks, Rev. Mod. Phys. 83, 331 (2011).
  14. A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. O. Schmidt, Optical atomic clocks, Rev. Mod. Phys. 87, 637 (2015).
  15. 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).
  16. H. Kim, W. Lee, H.-g. Lee, H. Jo, Y. Song, and J. Ahn, In situ single-atom array synthesis using dynamic holographic optical tweezers, Nat. Commun. 7, 13317 (2016).
  17. 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).
  18. M. Endres, H. Bernien, A. Keesling, H. Levine, E. R. Anschuetz, A. Krajenbrink, C. Senko, V. Vuletic, M. Greiner, and M. D. Lukin, Atom-by-atom assembly of defect-free one-dimensional cold atom arrays, Science 354, 1024 (2016).
  19. 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 (London) 595, 227 (2021).
  20. P. Scholl, M. Schuler, H. J. Williams, A. A. Eberharter, D. Barredo, K.-N. Schymik, V. Lienhard, L.-P. Henry, T. C. Lang, T. Lahaye, A. M. Läuchli, and A. Browaeys, Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms, Nature (London) 595, 233 (2021).
  21. 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).
  22. L. Pause, L. Sturm, M. Mittenbühler, S. Amann, T. Preuschoff, D. Schäffner, M. Schlosser, and G. Birkl, Supercharged two-dimensional tweezer array with more than 1000 atomic qubits, Optica 11, 222 (2024).
  23. M. A. Norcia, H. Kim, W. B. Cairncross, M. Stone, A. Ryou, M. Jaffe, M. O. Brown, K. Barnes, P. Battaglino, T. C. Bohdanowicz, A. Brown, K. Cassella, C.-A. Chen, R. Coxe, D. Crow, J. Epstein, C. Griger, E. Halperin, F. Hummel, A. M. W. Jones et al., Iterative assembly of Yb171 atom arrays with cavity-enhanced optical lattices, PRX Quantum 5, 030316 (2024).
  24. 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).
  25. 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.
  26. 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).
  27. J. Liesener, M. Reicherter, T. Haist, and H. Tiziani, Multi-functional optical tweezers using computer-generated holograms, Opt. Commun. 185, 77 (2000).
  28. J. E. Curtis, B. A. Koss, and D. G. Grier, Dynamic holographic optical tweezers, Opt. Commun. 207, 169 (2002).
  29. P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, Permanent 3D microstructures in a polymeric host created using holographic optical tweezers, J. Mod. Opt. 51, 627 (2004).
  30. J. Leach, G. Sinclair, P. Jordan, J. Courtial, M. J. Padgett, J. Cooper, and Z. J. Laczik, 3D manipulation of particles into crystal structures using holographic optical tweezers, Opt. Express 12, 220 (2004).
  31. E. Schonbrun, R. Piestun, P. Jordan, J. Cooper, K. D. Wulff, J. Courtial, and M. Padgett, 3D interferometric optical tweezers using a single spatial light modulator, Opt. Express 13, 3777 (2005).
  32. W. Lee, H. Kim, and J. Ahn, Three-dimensional rearrangement of single atoms using actively controlled optical microtraps, Opt. Express 24, 9816 (2016).
  33. D. Barredo, V. Lienhard, S. de Léséleuc, T. Lahaye, and A. Browaeys, Synthetic three-dimensional atomic structures assembled atom by atom, Nature (London) 561, 79 (2018).
  34. M. Schlosser, S. Tichelmann, D. Schäffner, D. O. de Mello, M. Hambach, J. Schütz, and G. Birkl, Scalable multilayer architecture of assembled single-atom qubit arrays in a three-dimensional talbot tweezer lattice, Phys. Rev. Lett. 130, 180601 (2023).
  35. G. Sinclair, P. Jordan, J. Courtial, M. Padgett, J. Cooper, and Z. J. Laczik, Assembly of 3-dimensional structures using programmable holographic optical tweezers, Opt. Express 12, 5475 (2004).
  36. R. Lin, H.-S. Zhong, Y. Li, Z.-R. Zhao, L.-T. Zheng, T.-R. Hu, H.-M. Wu, Z. Wu, W.-J. Ma, Y. Gao, Y.-K. Zhu, Z.-F. Su, W.-L. Ouyang, Y.-C. Zhang, J. Rui, M.-C. Chen, C.-Y. Lu, and J.-W. Pan, AI-enabled rapid assembly of thousands of defect-free neutral atom arrays with constant-time-overhead, arXiv:2412.14647.
  37. M. Kim, Y. Song, J. Kim, and J. Ahn, Quantum Ising Hamiltonian programming in trio, quartet, and sextet qubit systems, PRX Quantum 1, 020323 (2020).
  38. Y. Song, M. Kim, H. Hwang, W. Lee, and J. Ahn, Quantum simulation of Cayley-tree Ising Hamiltonians with three-dimensional Rydberg atoms, Phys. Rev. Res. 3, 013286 (2021).
  39. M. Kim, K. Kim, J. Hwang, E.-G. Moon, and J. Ahn, Rydberg quantum wires for maximum independent set problems, Nat. Phys. 18, 755 (2022).
  40. D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, J. P. Bonilla Ataides, N. Maskara, I. Cong, X. Gao, P. Sales Rodriguez, T. Karolyshyn, G. Semeghini, M. J. Gullans, M. Greiner et al., Logical quantum processor based on reconfigurable atom arrays, Nature (London) 626, 58 (2024).
  41. P. Würtz, T. Langen, T. Gericke, A. Koglbauer, and H. Ott, Experimental demonstration of single-site addressability in a two-dimensional optical lattice, Phys. Rev. Lett. 103, 080404 (2009).
  42. C. Weitenberg, M. Endres, J. F. Sherson, M. Cheneau, P. Schauß, T. Fukuhara, I. Bloch, and S. Kuhr, Single-spin addressing in an atomic Mott insulator, Nature (London) 471, 319 (2011).
  43. J. H. Lee, E. Montano, I. H. Deutsch, and P. S. Jessen, Robust site-resolvable quantum gates in an optical lattice via inhomogeneous control, Nat. Commun. 4, 2027 (2013).
  44. Y. Wang, X. Zhang, T. A. Corcovilos, A. Kumar, and D. S. Weiss, Coherent addressing of individual neutral atoms in a 3D optical lattice, Phys. Rev. Lett. 115, 043003 (2015).
  45. Y. Wang, A. Kumar, T.-Y. Wu, and D. S. Weiss, Single-qubit gates based on targeted phase shifts in a 3D neutral atom array, Science 352, 1562 (2016).
  46. H. Labuhn, S. Ravets, D. Barredo, L. Béguin, F. Nogrette, T. Lahaye, and A. Browaeys, Single-atom addressing in microtraps for quantum-state engineering using Rydberg atoms, Phys. Rev. A 90, 023415 (2014).
  47. S. de Léséleuc, D. Barredo, V. Lienhard, A. Browaeys, and T. Lahaye, Optical control of the resonant dipole-dipole interaction between Rydberg atoms, Phys. Rev. Lett. 119, 053202 (2017).
  48. 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).
  49. T. Xia, M. Lichtman, K. Maller, A. W. Carr, M. J. Piotrowicz, L. Isenhower, and M. Saffman, Randomized benchmarking of single-qubit gates in a 2D array of neutral-atom qubits, Phys. Rev. Lett. 114, 100503 (2015).
  50. 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).
  51. T. M. Graham, Y. Song, J. Scott, C. Poole, L. Phuttitarn, K. Jooya, P. Eichler, X. Jiang, A. Marra, B. Grinkemeyer, M. Kwon, M. Ebert, J. Cherek, M. T. Lichtman, M. Gillette, J. Gilbert, D. Bowman, T. Ballance, C. Campbell, E. D. Dahl et al., Multi-qubit entanglement and algorithms on a neutral-atom quantum computer, Nature (London) 604, 457 (2022).
  52. H. Levine, A. Keesling, A. Omran, H. Bernien, S. Schwartz, A. S. Zibrov, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, High-fidelity control and entanglement of Rydberg-atom qubits, Phys. Rev. Lett. 121, 123603 (2018).
  53. A. Omran, H. Levine, A. Keesling, G. Semeghini, T. T. Wang, S. Ebadi, H. Bernien, A. S. Zibrov, H. Pichler, S. Choi, J. Cui, M. Rossignolo, P. Rembold, S. Montangero, T. Calarco, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, Generation and manipulation of Schrödinger cat states in Rydberg atom arrays, Science 365, 570 (2019).
  54. K. Barnes, P. Battaglino, B. J. Bloom, K. Cassella, R. Coxe, N. Crisosto, J. P. King, S. S. Kondov, K. Kotru, S. C. Larsen, J. Lauigan, B. J. Lester, M. McDonald, E. Megidish, S. Narayanaswami, C. Nishiguchi, R. Notermans, L. S. Peng, A. Ryou, T.-Y. Wu et al., Assembly and coherent control of a register of nuclear spin qubits, Nat. Commun. 13, 2779 (2022).
  55. A. P. Burgers, S. Ma, S. Saskin, J. Wilson, M. A. Alarcón, C. H. Greene, and J. D. Thompson, Controlling Rydberg excitations using ion-core transitions in alkaline-earth atom-tweezer arrays, PRX Quantum 3, 020326 (2022).
  56. 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).
  57. N. Chen, L. Li, W. Huie, M. Zhao, I. Vetter, C. H. Greene, and J. P. Covey, Analyzing the Rydberg-based optical-metastable-ground architecture for Yb171 nuclear spins, Phys. Rev. A 105, 052438 (2022).
  58. 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).
  59. E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, Topological quantum memory, J. Math. Phys. 43, 4452 (2002).
  60. H. Bombin and M. A. Martin-Delgado, Exact topological quantum order in D=3 and beyond: Branyons and brane-net condensates, Phys. Rev. B 75, 075103 (2007).
  61. H. Bombin and M. A. Martin-Delgado, Topological computation without braiding, Phys. Rev. Lett. 98, 160502 (2007).
  62. E. Huang, A. Pesah, C. T. Chubb, M. Vasmer, and A. Dua, Tailoring three-dimensional topological codes for biased noise, PRX Quantum 4, 030338 (2023).
  63. H. Bombín, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New J. Phys. 17, 083002 (2015).
  64. A. Kubica and M. E. Beverland, Universal transversal gates with color codes: A simplified approach, Phys. Rev. A 91, 032330 (2015).
  65. M. Vasmer and D. E. Browne, Three-dimensional surface codes: Transversal gates and fault-tolerant architectures, Phys. Rev. A 100, 012312 (2019).
  66. H. Bombín, Single-shot fault-tolerant quantum error correction, Phys. Rev. X 5, 031043 (2015).
  67. A. O. Quintavalle, M. Vasmer, J. Roffe, and E. T. Campbell, Single-shot error correction of three-dimensional homological product codes, PRX Quantum 2, 020340 (2021).
  68. A. Kubica and M. Vasmer, Single-shot quantum error correction with the three-dimensional subsystem toric code, Nat. Commun. 13, 6272 (2022).
  69. J. C. Bridgeman, A. Kubica, and M. Vasmer, Lifting topological codes: Three-dimensional subsystem codes from two-dimensional anyon models, PRX Quantum 5, 020310 (2024).
  70. C. Stahl, Single-shot quantum error correction in intertwined toric codes, Phys. Rev. B 110, 075143 (2024).
  71. 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 (London) 604, 451 (2022).
  72. 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).
  73. 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).
  74. 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).
  75. 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 (London) 634, 315 (2024).
  76. A. G. Radnaev, W. C. Chung, D. C. Cole, D. Mason, T. G. Ballance, M. J. Bedalov, D. A. Belknap, M. R. Berman, M. Blakely, I. L. Bloomfield, P. D. Buttler, C. Campbell, A. Chopinaud, E. Copenhaver, M. K. Dawes et al., A universal neutral-atom quantum computer with individual optical addressing and non-destructive readout, arXiv:2408.08288.
  77. R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki, On thermal stability of topological qubit in Kitaev's 4D model, Open Syst. Inf. Dyn. 17, 1 (2010).
  78. B. M. Terhal, Quantum error correction for quantum memories, Rev. Mod. Phys. 87, 307 (2015).
  79. B. J. Brown, D. Loss, J. K. Pachos, C. N. Self, and J. R. Wootton, Quantum memories at finite temperature, Rev. Mod. Phys. 88, 045005 (2016).
  80. T. Ozawa and H. M. Price, Topological quantum matter in synthetic dimensions, Nat. Rev. Phys. 1, 349 (2019).
  81. D. Schrader, I. Dotsenko, M. Khudaverdyan, Y. Miroshnychenko, A. Rauschenbeutel, and D. Meschede, Neutral atom quantum register, Phys. Rev. Lett. 93, 150501 (2004).
  82. M. Karski, L. Förster, J.-M. Choi, A. Steffen, N. Belmechri, W. Alt, D. Meschede, and A. Widera, Imprinting patterns of neutral atoms in an optical lattice using magnetic resonance techniques, New J. Phys. 12, 065027 (2010).
  83. G. J. A. Edge, R. Anderson, D. Jervis, D. C. McKay, R. Day, S. Trotzky, and J. H. Thywissen, Imaging and addressing of individual fermionic atoms in an optical lattice, Phys. Rev. A 92, 063406 (2015).
  84. R. Yamamoto, J. Kobayashi, T. Kuno, K. Kato, and Y. Takahashi, An ytterbium quantum gas microscope with narrow-line laser cooling, New J. Phys. 18, 023016 (2016).
  85. H. S. Han, H. G. Lee, and D. Cho, Site-specific and coherent manipulation of individual qubits in a 1D optical lattice with a 532-nm site separation, Phys. Rev. Lett. 122, 133201 (2019).
  86. J. Trautmann, D. Yankelev, V. Klüsener, A. J. Park, I. Bloch, and S. Blatt, S01−P23 magnetic quadrupole transition in neutral strontium, Phys. Rev. Res. 5, 013219 (2023).
  87. W. G. Tobias, K. Matsuda, J.-R. Li, C. Miller, A. N. Carroll, T. Bilitewski, A. M. Rey, and J. Ye, Reactions between layer-resolved molecules mediated by dipolar spin exchange, Science 375, 1299 (2022).
  88. D. T. C. Allcock, W. C. Campbell, J. Chiaverini, I. L. Chuang, E. R. Hudson, I. D. Moore, A. Ransford, C. Roman, J. M. Sage, and D. J. Wineland, omg blueprint for trapped ion quantum computing with metastable states, Appl. Phys. Lett. 119, 214002 (2021).
  89. 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).
  90. 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).
  91. P. Scholl, A. L. Shaw, R. B.-S. Tsai, R. Finkelstein, J. Choi, and M. Endres, Erasure conversion in a high-fidelity Rydberg quantum simulator, Nature (London) 622, 273 (2023).
  92. Y. Nakamura, T. Kusano, R. Yokoyama, K. Saito, K. Higashi, N. Ozawa, T. Takano, Y. Takasu, and Y. Takahashi, Hybrid atom tweezer array of nuclear spin and optical clock qubits, Phys. Rev. X 14, 041062 (2024).
  93. M. Silver, R. Joseph, and D. Hoult, Highly selective π/2 and π pulse generation, J. Magn. Res. (1969) 59, 347 (1984).
  94. M. S. Silver, R. I. Joseph, and D. I. Hoult, Selective spin inversion in nuclear magnetic resonance and coherent optics through an exact solution of the Bloch-Riccati equation, Phys. Rev. A 31, 2753 (1985).
  95. M. Garwood and L. DelaBarre, The return of the frequency Sweep: Designing adiabatic pulses for contemporary NMR, J. Magn. Res. 153, 155 (2001).
  96. I. Roos and K. Mølmer, Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping, Phys. Rev. A 69, 022321 (2004).
  97. 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, J. Epstein, E. Halperin, F. Hummel, T. Wilkason, M. Li, K. Barnes, P. Battaglino, T. C. Bohdanowicz, G. Booth, A. Brown et al., High-fidelity universal gates in the Yb171 ground state nuclear spin qubit, arXiv:2411.11708.
  98. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022045 for details of the experimental system and manipulation procedures (Sec. S1), details of the z position dependence of tweezer trap parameters (Sec. S2), details of the data analysis and the characterization of the plane-selective control errors (Sec. S3), and which includes Refs.  [55, 73, 90, 92, 93, 94, 95, 96, 97, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121], .
  99. J. Shah, G. Nambiar, A. V. Gorshkov, and V. Galitski, Quantum spin ice in three-dimensional Rydberg atom arrays, Phys. Rev. X 15, 011025 (2025).
  100. 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).
  101. A. H. Nevidomskyy, H. Bernien, and A. Canright, Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays, arXiv:2407.05885.
  102. R. D. Leonardo, F. Ianni, and G. Ruocco, Computer generation of optimal holograms for optical trap arrays, Opt. Express 15, 1913 (2007).
  103. H. Sun, Y. Song, A. Byun, H. Jeong, and J. Ahn, Imaging three-dimensional single-atom arrays all at once, Opt. Express 29, 4082 (2021).
  104. G. D. Love, Wave-front correction and production of Zernike modes with a liquid-crystal spatial light modulator, Appl. Opt. 36, 1517 (1997).
  105. 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).
  106. M. Takamoto and H. Katori, Coherence of spin-polarized fermions interacting with a clock laser in a stark-shift-free optical lattice, J. Phys. Soc. Jpn. 78, 013301 (2009).
  107. A. Jenkins, J. W. Lis, A. Senoo, W. F. McGrew, and A. M. Kaufman, Ytterbium nuclear-spin qubits in an optical tweezer array, Phys. Rev. X 12, 021027 (2022).
  108. A. M. Kaufman, B. J. Lester, and C. A. Regal, Cooling a single atom in an optical tweezer to its quantum ground state, Phys. Rev. X 2, 041014 (2012).
  109. 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).
  110. 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).
  111. A. L. Shaw, P. Scholl, R. Finkelstein, R. B.-S. Tsai, J. Choi, and M. Endres, Erasure-cooling, control, and hyper-entanglement of motion in optical tweezers, arXiv:2311.15580.
  112. E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, Randomized benchmarking of quantum gates, Phys. Rev. A 77, 012307 (2008).
  113. E. Magesan, J. M. Gambetta, and J. Emerson, Scalable and robust randomized benchmarking of quantum processes, Phys. Rev. Lett. 106, 180504 (2011).
  114. H. Qiao, C.-Y. Sun, C.-Q. Peng, Q.-C. Qi, C.-C. Zhao, M. Zhou, and X.-Y. Xu, Frequency measurement of 6s6p 3P0,2−6s7s 3S1 transitions in ultracold Yb171 atoms referenced to local optical clock, Results Phys. 48, 106439 (2023).
  115. W. Zernik, Two-photon ionization of atomic hydrogen, Phys. Rev. 135, A51 (1964).
  116. H. B. Bebb, Quantitative theory of the two-photon ionization of the alkali atoms, Phys. Rev. 149, 25 (1966).
  117. D. J. Wineland, W. M. Itano, J. C. Bergquist, and R. G. Hulet, Laser-cooling limits and single-ion spectroscopy, Phys. Rev. A 36, 2220 (1987).
  118. D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, Experimental issues in coherent quantum-state manipulation of trapped atomic ions, J. Res. Natl. Inst. Stand. Technol. 103, 259 (1998).
  119. 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).
  120. D. J. Wineland and W. M. Itano, Laser cooling of atoms, Phys. Rev. A 20, 1521 (1979).
  121. S. G. Porsev and A. Derevianko, Hyperfine quenching of the metastable 3P0,2 states in divalent atoms, Phys. Rev. A 69, 042506 (2004).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation