Quantum Error Correction in the Surface Code (Part I): Stabilizer Measurements and State Initialization

ORAL

Abstract

Quantum error correction codes offer ways to compensate errors in quantum systems to a level which enables solving classically intractable problems. The surface code [A. G. Fowler, et al., Phys. Rev. A 86, 032324 (2012)] is one of the major candidates for a scalable quantum computing architecture because of its high tolerance to errors and its simple 2D-grid qubit-arrangement. In this talk, we discuss our progress towards the experimental realization of a distance-3 surface code on a 17-qubit superconducting qubit device. We verify the performance of essential components of the surface code including the realization of weight-2 stabilizers and weight-4 stabilizers, and the initialization of logical-qubit states. We discuss which type of errors are most prominent and whether or not they are correctable.

*The authors acknowledge financial support by ODNI, IARPA, via the US ARO grant W911NF-16-1-0071, by SNFS NCCR QSIT, by the EU Flagship H2020-FETFLAG-2018-03 project 820363 OpenSuperQ, by the SNFS R'Equip grant 206021-170731, by ETH Zurich and by Fondation Jean-Jacques & Felicia Lopez-Loreta.

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Presenters

  • Nathan Lacroix

    • ETH Zurich

Authors

  • Nathan Lacroix

    • ETH Zurich

  • Sebastian Krinner

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Ants Remm

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Christoph Hellings

    • ETH Zurich

  • Stefania Lazar

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Christian Kraglund Andersen

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Francois Swiadek

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Johannes Herrmann

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Graham J Norris

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Elie Genois

    • Universite de Sherbrooke

  • Agustin Di Paolo

    • Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
    • Universite de Sherbrooke
    • MIT
    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

  • Catherine Leroux

    • Universite de Sherbrooke
    • Institut quantique & Département de Physique, Université de Sherbrooke, Sherbrooke J1K2R1, Quebec, Canada

  • Markus Müller

    • RWTH Aachen

  • Alexandre Blais

    • Universite de Sherbrooke
    • Institut quantique & Département de Physique, Université de Sherbrooke, Sherbrooke J1K2R1, Quebec, Canada

  • Christopher Eichler

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Andreas Wallraff

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland