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).

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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