Modeling a dynamical purification phase transition in a trapped-ion quantum computer

POSTER

Abstract



We discuss the theoretical aspects of studying measurement-induced quantum phase transitions in a trapped-ion quantum computer. We study a model of random circuits with measurements that exhibits a ‘purification transition’ as we tune the rate of measurements. In the pure phase, with high measurement rates, the projective measurements cause the system to purify to a fixed state in short times. However, in the mixed phase, the projective measurements spontaneously project quantum information about the initial state into a quantum error correcting code-space that survives on all sufficiently long polynomial timescales. Using our model of random unitary dynamics, we find evidence of different phases at experimentally accessible depths and system sizes and show that, in the limits of longer circuits and moderately larger system sizes, critical properties of the purification transition emerge.

*This work is supported by the ARO with funding from the IARPA LogiQ program, the NSF Practical Fully-Connected Quantum Computer program, the DOE program on Quantum Computing in Chemical and Material Sciences, the AFOSR MURI on Quantum Measurement and Verification, and the AFOSR MURI on Interactive Quantum Computation and Communication Protocols.

Presenters

  • Pradeep Niroula

    • University of Maryland, College Park
    • JQI, QuICS, NIST, Department of Physics, University of Maryland, College Park, MD 20742;

Authors

  • Crystal Noel

    • JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham, NC
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 2
    • University of Maryland, College Park

  • Pradeep Niroula

    • University of Maryland, College Park
    • JQI, QuICS, NIST, Department of Physics, University of Maryland, College Park, MD 20742;

  • Marko Cetina

    • JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham, NC 27701
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham NC 27701
    • University of Maryland
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics, Duke University, Durham NC 27
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 2

  • Daiwei Zhu

    • JQI and QuICS and Departments of ECE and Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • JQI and QuICS and Departments of Physics and ECE, University of Maryland, College Park, MD 20742

  • Andrew Risinger

    • JQI and QuICS and Departments of ECE and Physics, University of Maryland, College Park, MD 20742
    • Joint Quantum Institute, University of Maryland, College Park
    • University of Maryland, College Park
    • JQI and QuICS and Departments of Physics and ECE, University of Maryland, College Park, MD 20742

  • Laird Egan

    • JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center, Duke University, Durham NC 27701
    • Joint Quantum Institute and Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, MD 20742

  • Debopriyo Biswas

    • JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742;
    • Joint Quantum Institute and Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, MD 20742

  • Alexey V Gorshkov

    • JQI
    • National Institute of Standards and Technology
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, University of Maryland and NIST, College Park, MD 20742 USA
    • JQI, NIST, QuICS and Department of Physics, University of Maryland, College Park, MD 20742;
    • Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742 USA

  • Michael Gullans

    • National Institute of Standards and Tech
    • JQI, NIST, QuICS and Department of Physics, University of Maryland, College Park, MD 20742

  • David A Huse

    • Princeton University
    • Department of Physics, Princeton University, Princeton NJ 08540

  • Christopher R Monroe

    • JQI and QuiCS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham, NC
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 2
    • University of Maryland, College Park
    • Joint Quantum Institute, University of Maryland, College Park
    • Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, University of Maryland and NIST, College Park, MD 20742 USA
    • JQI, University of Maryland, College Park
    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742; Duke Quantum Center and Department of Physics (and ECE), Duke University, Durham NC 27
    • Joint Quantum Institute, Joint Center for Quantum Information and Computer Science, and Physics Department, University of Maryland, College Park and National Institute of Sta