A quantum-classical hybrid variational algorithm using trapped ions

POSTER

Abstract

Trapped atomic ions are an excellent platform for probing dynamics of many-body systems, allowing the study of quantum magnetism models both in equilibrium and after a quantum quench. We use chains of 171Yb$+$ ions confined in a rf Paul trap to simulate the transverse field Ising model with tunable long-range interactions, generated with spin-dependent optical dipole forces. Experiments are run in two quantum simulators operating at room and cryogenic temperature, respectively. Our platform is used to implement Quantum approximate optimization algorithms [1] and to study confinement of low-energy quasi-particles after a quantum quench [2]. [1] Farhi \textit{et al}, arXiv:1602.07674 [quant-ph] [2] Liu \textit{et al, }arXiv:1810.02365 [cond-mat.quant-gas]

*This work is supported by the DARPA program on Driven and Nonequilibrium Quantum Systems, the DOE program on Quantum Computing in Chemical and Material Sciences, the AFOSR MURI on Quantum Measurement and Veri fication, and the NSF Physics Frontier Center at JQI.

Authors

  • Antonios Kyprianidis

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA

  • G. Pagano

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA
    • JQI, University of Maryland

  • Patrick Becker

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA

  • Kate Collins

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA
    • University of Maryland Department of Physics and NIST

  • H.B. Kaplan

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA
    • JQI, University of Maryland

  • W.L. Tan

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA
    • JQI, University of Maryland

  • Aniruddha Bapat

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA

  • Lucas Brady

    • QuICS, NIST/University of Maryland, College Park, MD 20742, USA

  • Alexey V. Gorshkov

    • Joint Quantum Institute
    • JQI, NIST/University of Maryland, College Park, MD 20742, USA and QuICS, NIST/University of Maryland, College Park, MD 20742, USA

  • Stephen Jordan

    • QuICS, NIST/University of Maryland, College Park, MD 20742, USA and NIST, Gaithersburg, MD 20899, USA

  • Christopher Monroe

    • JQI, NIST/University of Maryland, College Park, MD 20742, USA and IonQ, College Park, MD 20740