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.

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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