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Annual Review of Condensed Matter Physics

Volume 16, 2025

Progress in Trapped-Ion Quantum Simulation

  • Michael Foss-Feig1, Guido Pagano2, Andrew C. Potter3 and Norman Y. Yao4
  • 1Quantinuum, Broomfield, Colorado, USA 2Department of Physics and Astronomy, Rice University, Houston, Texas, USA 3Department of Physics and Astronomy, and Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia, Canada; email: [email protected] 4Department of Physics, Harvard University, Cambridge, Massachusetts, USA
  • Vol. 16:145-172 (Volume publication date March 2025)
  • First published as a Review in Advance on October 31, 2024
  • Copyright © 2025 by the author(s).
    This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. See credit lines of images or other third-party material in this article for license information.

Abstract

Trapped ions offer long coherence times and high-fidelity, programmable quantum operations, making them a promising platform for quantum simulation of condensed matter systems, quantum dynamics, and problems related to high-energy physics. We review selected developments in trapped-ion qubits and architectures and discuss quantum simulation applications that utilize these emerging capabilities. This review emphasizes developments in digital (gate-based) quantum simulations that exploit trapped-ion hardware capabilities, such as flexible qubit connectivity, selective midcircuit measurement, and classical feedback, to simulate models with long-range interactions, explore nonunitary dynamics, compress simulations of states with limited entanglement, and reduce the circuit depths required to prepare or simulate long-range entangled states.

Keyword(s): entanglement, ion trapping, quantum dynamics, quantum simulation
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2025-03-10
2025-06-14
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Progress in Trapped-Ion Quantum Simulation
Annual Review of Condensed Matter Physics 16, 145 (2025); https://doi.org/10.1146/annurev-conmatphys-032822-045619
/content/journals/10.1146/annurev-conmatphys-032822-045619
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