Efficient Cross-Platform Comparison of Quantum States via Randomized Measurement

ORAL

Abstract

One of the many additional complexities that quantum computers pose over classical computers is verifying and comparing quantum states. One way to verify quantum states is to reconstruct the entire density matrix, which requires measurements exponentially growing with the number of qubits. Recent work has proposed approaches based on randomized measurement to reduce the number of measurements needed to compare quantum states (although still exponential), whether across different systems or across time. We discuss recent results applying this technique to a variety of ion trap and superconductor quantum computing systems, and contrast various states produced by different systems.

*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, and the AFOSR MURI on Interactive Quantum Computation and Communication Protocols.

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Presenters

  • Qingfeng Wang

    • JQI and QuICS and Chemical Physics Program and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20740
    • Chemical Physics Program and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742

Authors

  • Ze-Pei Cian

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

  • 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

  • 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

  • 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

  • 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

  • Yingyue Zhu

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

  • Qingfeng Wang

    • JQI and QuICS and Chemical Physics Program and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20740
    • Chemical Physics Program and Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742

  • Yunseong Nam

    • IonQ, College Park, MD 20740
    • IonQ, Inc
    • IonQ, Inc., 4505 Campus Drive, College Park, MD 20740

  • Mohammad Hafezi

    • JQI and QuICS and 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

  • Norbert M Linke

    • JQI and QuICS and Department of Physics, University of Maryland, College Park, MD 20742
    • University of Maryland, College Park
    • Joint Quantum Institute and Department of Physics, University of Maryland, College Park 20740, USA

  • 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