Signal processing in continuous syndrome of the three qubit quantum error correction code

ORAL

Abstract

We develop several protocols for quantum error correction of three qubit code with continuous syndrome measurements, including boxcar filter, double exponential smoothing and Bayesian filter. These protocols are realistic and efficient enough for rapid experimental realization of quantum error correction code. We also discuss the continuous feedback protocol based on Bayesian filtering, which requires real time correction. It is found numerically that for fast measurements delaying the correction until the qubit recall time is almost of the same fidelity as feeding back with pulses in real time. Thus with Bayesian filtering waiting until the end of the run will save considerable resources without losing too much fidelity.

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Presenters

  • Jing Yang

    Department of Physics and Astronomy, Univ of Rochester, Univ of Rochester

Authors

  • Jing Yang

    Department of Physics and Astronomy, Univ of Rochester, Univ of Rochester

  • Areeya Chantasri

    Centre for Quantum Dynamics, Griffith University

  • Justin Dressel

    Physics, Chapman University, Schmid College of Science and Technology, Chapman University, Physics, Chapman Univ

  • Alexander Korotkov

    Univ of California - Riverside, Department of Electrical and Computer Engineering, University of California, University of California, Riverside, Physics, University of California, Riverside, Electrical Engineering, Univ of California - Riverside

  • Andrew Jordan

    University of Rochester, Department of Physics and Astronomy, Univ of Rochester, Department of Physics and Astromony, University of Rochester, Univ of Rochester, Department of physics and astronomy, Univ of Rochester, Physics and Astronomy, University of Roshester, Physics, Univ of Rochester