Demonstration of a Fault-Tolerant Error Syndrome Measurement: Theory

ORAL

Abstract

Fault tolerance is an essential ingredient in scaling up error corrected quantum computation. While all operations must eventually be made fault-tolerant, we focus here on syndrome measurement. It is particularly crucial to make this component as fault-tolerant as possible since it occurs frequently in all encoded circuits. Here we present a construction for the fault tolerant detection of an error syndrome, particularly the detection of photon number parity, which forms the foundation for error corrected logical qubits encoded in an oscillator. We introduce a modified parity measurement protocol using multiple ancilla levels. In contrast with previous schemes, this protocol can be protected to first order against ancilla decoherence occurring at any point in the sequence.

*This work was supported by the Army Research Office (W911NF-14-1-0011) and the Air Force Office of Scientific Research (FA9550-15-1-0015).

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Presenters

  • Philip Reinhold

    • Applied Physics, Yale Univ
    • Yale University
    • Applied Physics, Yale University
    • Dept. of Applied Physics, Yale University

Authors

  • Philip Reinhold

    • Applied Physics, Yale Univ
    • Yale University
    • Applied Physics, Yale University
    • Dept. of Applied Physics, Yale University

  • Serge Rosenblum

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

  • Mazyar Mirrahimi

    • Applied Physics, Yale Univ
    • Yale University
    • Inria and Yale Quantum Institute
    • Yale Quantum Institute, Yale University, New Haven, CT, United States; INRIA
    • INRIA Paris
    • QUANTIC team, INRIA de Paris
    • 3. INRIA Paris and Yale Quantum Institute

  • Nissim Ofek

    • Applied Physics, Yale Univ
    • Yale University

  • Liang Jiang

    • Applied Physics, Yale Univ
    • Yale University
    • Department of Physics and Applied Physics, Yale University
    • Yale Univ
    • Applied Physics, Yale University
    • Department of Applied Physics, Yale University
    • Dept. of Applied Physics, Yale University
    • Yale Quantum Institute, Yale University

  • Luigi Frunzio

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

  • Michel Devoret

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

  • Robert Schoelkopf

    • Yale University
    • Applied Physics, Yale University
    • Physics and Applied Physics, Yale University
    • Applied Physics, Yale Univ
    • Dept. of Applied Physics, Yale University
    • Departments of Applied Physics and Physics, Yale University