Detection and mitigation of leakage in simulations of a transmon implementation of the surface code, Part 2: Scalable Hidden Markov models for the identification of leakage

ORAL

Abstract

The detection and mitigation of leakage, a threatening error source for stabilizer quantum error correction (QEC) on leading physical hardware, is an important step towards demonstrations of fault tolerance. We explore the effects of leakage on the performance of the distance-3 surface code Surface-17 by performing density-matrix simulations, employing realistic error models for transmon qubits in a circuit QED processor. We demonstrate the indirect detection of leakage via a network of local, independent and scalable Hidden Markov models. We show that post-selecting on detection of leakage restores the logical fidelity of the encoded information. We explore the integration of leakage detection into a minimum-weight perfect-matching decoder.

*F.B., B.V. and B.M.Te. are supported by ERC grant EQEC No. 682726; B.M.Ta., V.P.O. and L.D.C. by ODNI and IARPA, via the U.S. Army Research Office grant W911NF-16-1-0071; T.E.O. by NWO/OCW under the NanoFront and StartImpuls programs, and by Shell Global Solutions BV.

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Presenters

  • Boris Varbanov

    • QuTech, Delft University of Technology - Netherlands

Authors

  • Boris Varbanov

    • QuTech, Delft University of Technology - Netherlands

  • Francesco Battistel

    • QuTech, Delft University of Technology - Netherlands

  • Brian M Tarasinski

    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology - Netherlands
    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology

  • Viacheslav P. Ostroukh

    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology - Netherlands
    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology

  • Thomas O'Brien

    • Instituut-Lorentz for Theoretical Physics, Leiden University - Netherlands
    • Instituut Lorentz for Theoretical Physics, Leiden University - Netherlands
    • Insitute Lorentz, Leiden University
    • Lorentz Institute
    • Leiden University

  • Barbara Maria Terhal

    • QuTech; JARA Institute for Quantum Information, Delft University of Technology - Netherlands; Forschungszentrum Jülich - Germany
    • QuTech; JARA Institute for Quantum Information, Delft University of Technology - Netherlands; Forschungszentrum Juelich - Germany
    • QuTech, Delft University of Technology
    • Delft University of Technology

  • Leonardo DiCarlo

    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology, Delft, The Netherlands
    • Delft University of Technology
    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology - Netherlands
    • QuTech and Kavli Institute of Nanoscience, Delft University of Technology