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
  • Open Access
  • Access by Xinjiang University

In situ rewiring of two-dimensional ion lattice interactions using metastable state shelving

Ilyoung Jung1, Antonis Kyprianidis2, Frank G. Schroer1, Thomas W. Burkle1, Jack Lyons1, and Philip Richerme1,3

Phys. Rev. A 114, 022425 – Published 12 August, 2026

DOI: https://doi.org/10.1103/9kn5-b2vt

Abstract

Trapped-ion lattice geometries, which determine the interactions between trapped-ion qubits, are typically governed by the balance of Coulomb repulsion forces with the external trapping potential. Here we demonstrate how the effective ion lattice geometry and resulting qubit-qubit interactions may be reconfigured in situ, by shelving specific ions in metastable states outside the qubit subspace. Using a triangular lattice of three Yb+171 ions, we optically pump selected ions into the long-lived F7/22 state. We then apply a global Ising-like Hamiltonian to the system and verify that the shelved qubits are fully removed from participation in the quantum dynamics. We characterize the metastable state lifetime in the presence of laser-driven ion-ion interactions, finding a deshelving rate that is orders of magnitude slower than the spin-spin interaction rate and scales quadratically with applied laser intensity.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (46)

  1. H. T. Diep et al., Frustrated Spin Systems (World Scientific, Singapore, 2013).
  2. R. Moessner and S. L. Sondhi, Ising models of quantum frustration, Phys. Rev. B 63, 224401 (2001).
  3. L. Balents, Spin liquids in frustrated magnets, Nature (London) 464, 199 (2010).
  4. D. Huerga, S. Capponi, J. Dukelsky, and G. Ortiz, Staircase of crystal phases of hard-core bosons on the kagome lattice, Phys. Rev. B 94, 165124 (2016).
  5. I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014).
  6. S. Ebadi et al., Quantum phases of matter on a 256-atom programmable quantum simulator, Nature (London) 595, 227 (2021).
  7. P. Scholl et al., Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms, Nature (London) 595, 233 (2021).
  8. C. Monroe et al., Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93, 025001 (2021).
  9. B. P. Lanyon et al., Universal digital quantum simulation with trapped ions, Science 334, 57 (2011).
  10. R. Islam, C. Senko, W. Campbell, S. Korenblit, J. Smith, A. Lee, E. Edwards, C.-C. Wang, J. Freericks, and C. Monroe, Emergence and frustration of magnetism with variable-range interactions in a quantum simulator, Science 340, 583 (2013).
  11. P. Richerme, Z.-X. Gong, A. Lee, C. Senko, J. Smith, M. Foss-Feig, S. Michalakis, A. V. Gorshkov, and C. Monroe, Non-local propagation of correlations in quantum systems with long-range interactions, Nature (London) 511, 198 (2014).
  12. P. Jurcevic, B. P. Lanyon, P. Hauke, C. Hempel, P. Zoller, R. Blatt, and C. F. Roos, Quasiparticle engineering and entanglement propagation in a quantum many-body system, Nature (London) 511, 202 (2014).
  13. J. W. Britton, B. C. Sawyer, A. C. Keith, C.-C. J. Wang, J. K. Freericks, H. Uys, M. J. Biercuk, and J. J. Bollinger, Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins, Nature (London) 484, 489 (2012).
  14. M. Qiao et al., Tunable quantum simulation of spin models with a two-dimensional ion crystal, Nat. Phys. 20, 623 (2024).
  15. S.-A. Guo et al., A site-resolved two-dimensional quantum simulator with hundreds of trapped ions, Nature (London) 630, 613 (2024).
  16. K. Mølmer and A. Sørensen, Multiparticle entanglement of hot trapped ions, Phys. Rev. Lett. 82, 1835 (1999).
  17. K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, Quantum simulation of frustrated Ising spins with trapped ions, Nature (London) 465, 590 (2010).
  18. Y. Shapira, R. Shaniv, T. Manovitz, N. Akerman, and R. Ozeri, Robust entanglement gates for trapped-ion qubits, Phys. Rev. Lett. 121, 180502 (2018).
  19. Y. Shapira, R. Shaniv, T. Manovitz, N. Akerman, L. Peleg, L. Gazit, R. Ozeri, and A. Stern, Theory of robust multiqubit nonadiabatic gates for trapped ions, Phys. Rev. A 101, 032330 (2020).
  20. A. Kyprianidis, A. J. Rasmusson, and P. Richerme, Interaction graph engineering in trapped-ion quantum simulators with global drives, New J. Phys. 26, 023033 (2024).
  21. Q. Wu, Y. Shi, and J. Zhang, Qubits on programmable geometries with a trapped-ion quantum processor, Phys. Rev. A 111, 042607 (2025).
  22. Y. Shapira, J. Markov, N. Akerman, A. Stern, and R. Ozeri, Programmable quantum simulations on a trapped-ion quantum computer with a global drive, Phys. Rev. Lett. 134, 010602 (2025).
  23. A. Parra-Rodriguez, P. Lougovski, L. Lamata, E. Solano, and M. Sanz, Digital-analog quantum computation, Phys. Rev. A 101, 022305 (2020).
  24. P. Baßler, M. Zipper, C. Cedzich, M. Heinrich, P. H. Huber, M. Johanning, and M. Kliesch, Synthesis of and compilation with time-optimal multi-qubit gates, Quantum 7, 984 (2023).
  25. P. Richerme, Multi-mode global driving of trapped ions for quantum circuit synthesis, Quantum Sci. Technol. 10, 035046 (2025).
  26. Y. Solomons, Y. Kadish, L. Peleg, J. Nemirovsky, A. B. Kish, and Y. Shapira, Full programmable quantum computing with trapped-ions using semi-global fields, Quantum Sci. Technol. 11, 025036 (2026).
  27. 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).
  28. H. X. Yang, J. Y. Ma, Y. K. Wu, Y. Wang, M. M. Cao, W. X. Guo, Y. Y. Huang, L. Feng, Z. C. Zhou, and L. M. Duan, Realizing coherently convertible dual-type qubits with the same ion species, Nat. Phys. 18, 1058 (2022).
  29. C. L. Edmunds, T. R. Tan, A. R. Milne, A. Singh, M. J. Biercuk, and C. Hempel, Scalable hyperfine qubit state detection via electron shelving in the D5/22 and F7/22 manifolds in Yb+171, Phys. Rev. A 104, 012606 (2021).
  30. Y.-H. Chen and C. H. Baldwin, Randomized benchmarking with leakage errors, Phys. Rev. Res. 7, 043065 (2025).
  31. A. Bermudez, J. Almeida, K. Ott, H. Kaufmann, S. Ulm, U. Poschinger, F. Schmidt-Kaler, A. Retzker, and M. B. Plenio, Quantum magnetism of spin-ladder compounds with trapped-ion crystals, New J. Phys. 14, 093042 (2012).
  32. P. Richerme, Two-dimensional ion crystals in radio-frequency traps for quantum simulation, Phys. Rev. A 94, 032320 (2016).
  33. Y. Xie, J. Cui, M. D' Onofrio, A. J. Rasmusson, S. W. Howell, and P. Richerme, An open-endcap blade trap for radial-2D ion crystals, Quantum Sci. Technol. 6, 044009 (2021).
  34. S. Olmschenk, K. C. Younge, D. L. Moehring, D. N. Matsukevich, P. Maunz, and C. Monroe, Manipulation and detection of a trapped Yb+ hyperfine qubit, Phys. Rev. A 76, 052314 (2007).
  35. W. C. Campbell, J. Mizrahi, Q. Quraishi, C. Senko, D. Hayes, D. Hucul, D. N. Matsukevich, P. Maunz, and C. Monroe, Ultrafast gates for single atomic qubits, Phys. Rev. Lett. 105, 090502 (2010).
  36. K. Kim, M. S. Chang, R. Islam, S. Korenblit, L. M. Duan, and C. Monroe, Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes, Phys. Rev. Lett. 103, 120502 (2009).
  37. M. Roberts, P. Taylor, G. P. Barwood, W. R. C. Rowley, and P. Gill, Observation of the S1/22F7/22 electric octupole transition in a single Yb+171 ion, Phys. Rev. A 62, 020501(R) (2000).
  38. R. Lange, A. A. Peshkov, N. Huntemann, C. Tamm, A. Surzhykov, and E. Peik, Lifetime of the F7/22 level in Yb+ for spontaneous emission of electric octupole radiation, Phys. Rev. Lett. 127, 213001 (2021).
  39. T. R. Tan, C. L. Edmunds, A. R. Milne, M. J. Biercuk, and C. Hempel, Precision characterization of the D5/22 state and the quadratic Zeeman coefficient in Yb+171, Phys. Rev. A 104, L010802 (2021).
  40. J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P. Hauke, M. Heyl, D. A. Huse, and C. Monroe, Many-body localization in a quantum simulator with programmable random disorder, Nat. Phys. 12, 907 (2016).
  41. A. C. Lee, J. Smith, P. Richerme, B. Neyenhuis, P. W. Hess, J. Zhang, and C. Monroe, Engineering large Stark shifts for control of individual clock state qubits, Phys. Rev. A 94, 042308 (2016).
  42. C.-Y. Shih, S. Motlakunta, N. Kotibhaskar, M. Sajjan, R. Hablützel, and R. Islam, Reprogrammable and high-precision holographic optical addressing of trapped ions for scalable quantum control, npj Quantum Inf. 7, 57 (2021).
  43. E. Biémont, J.-F. Dutrieux, I. Martin, and P. Quinet, Lifetime calculations in Yb II, J. Phys. B: At., Mol., Opt. Phys. 31, 3321 (1998).
  44. R. Ozeri et al., Errors in trapped-ion quantum gates due to spontaneous photon scattering, Phys. Rev. A 75, 042329 (2007).
  45. I. Jung, F. G. Schroer, and P. Richerme, Ion-based characterization of laser beam profiles for quantum information processing, Entropy 27, 1115 (2025).
  46. I. Jung, A. Kyprianidis, F. Schroer, T. Burkle, J. Lyons, and P. Richerme, In situ rewiring of two-dimensional ion lattice interactions using metastable state shelving, Indiana University [dataset] DataCORE, 2026, https://doi.org/10.5967/fhx3-m594.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation