Fault-tolerant gates on a logical qubit

ORAL

Abstract

A fault-tolerant architecture based on error-corrected qubits requires the implementation of logical gates that do not induce uncorrectable errors. Here, we present a fault-tolerant construction for a gate on a cavity-encoded logical qubit. The scheme uses the multilevel structure of a transmon ancilla, along with RF-tunable transmon-cavity interaction, to apply arbitrary phases to the cavity Fock states. This enables a broad range of gates on a variety of encodings, while protecting the logical qubit against photon loss, as well as ancilla decay and dephasing. Together with the previously demonstrated fault-tolerant syndrome measurements [1], this result further expands the toolbox towards fully fault-tolerant processing of logical qubits.

[1] S. Rosenblum, P. Reinhold, M. Mirrahimi, L. Jiang, L. Frunzio, and R. Schoelkopf, Science 361, 266-270 (2018).

*This research was supported by the Army Research Office (W911NF-18-1-0212), and the Air Force Office of Scientific Research (FA9550-14-1-0052 and FA9550-15-1-0015).

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Presenters

  • Serge Rosenblum

    • Yale Univ
    • Department of Applied Physics and Physics, Yale University

Authors

  • Serge Rosenblum

    • Yale Univ
    • Department of Applied Physics and Physics, Yale University

  • Philip Reinhold

    • Yale Univ
    • Department of Applied Physics and Physics, Yale University
    • Applied Physics, Yale University

  • Wenlong Ma

    • Yale Univ

  • Liang Jiang

    • Yale Univ
    • Applied Physics, Yale University
    • Departments of Physics and Applied Physics, Yale University
    • Departments of Applied Physics and Physics, Yale Univ
    • Department of Applied Physics and Physics, Yale University

  • Luigi Frunzio

    • Applied Physics, Yale University
    • Yale Univ
    • Yale University

  • Robert J Schoelkopf

    • Yale Univ
    • Yale University
    • Department of Applied Physics and Physics, Yale University
    • Applied Physics, Yale University