Fault-Tolerant Operation of a Quantum Error-Correction Code

POSTER

Abstract

We experimentally demonstrate fault-tolerant preparation, measurement, rotation, and stabilizer measurement of a Bacon-Shor logical qubit using 13 trapped ion qubits. Comparing these fault-tolerant protocols to non-fault tolerant protocols, we see significant reductions in the error rates of the logical primitives in the presence of noise. The result of fault-tolerant design is an average state preparation and measurement error of 0.6% and a Clifford gate error of 0.3% after error correction. Additionally, we prepare magic states with fidelities exceeding the distillation threshold, demonstrating all of the key single-qubit ingredients required for universal fault-tolerant operation.

*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.

Publication: Egan et al., arXiv:2009.11482 (2020)

Presenters

  • 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

Authors

  • 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

  • Dripto Debroy

    • Department of Electrical and Computer Engineering, Duke University, Durham, NC 277084

  • 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

  • Daiwei Zhu

    • JQI and QuICS and Departments of ECE and Physics, 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

  • Michael Newman

    • Department of Electrical and Computer Engineering, Duke University, Durham, NC 277084

  • Muyuan Li

    • Schools of Chemistry and Biochemistry and Computational Science and Engineering, Georgia Institute of Technology, Atlanta, GA, 30332

  • Kenneth Brown

    • Departments of ECE, Chemistry, and Physics, Duke University, Durham, NC 277084

  • 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

  • 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