Fault-tolerant photon-number selective phase gate in circuit quantum electrodynamics

ORAL

Abstract

In circuit quantum electrodynamics (QED), it has been demonstrated that universal control of the cavity states can be realized by quantum control of a transmon coupled to the cavity in the strongly dispersive regime. An important class of quantum gates are the selective number-dependent arbitrary phase (SNAP) gates, which impart arbitrary phases to the different Fock states of the cavity by cyclically driving the transmon. However, the SNAP gate fidelity is limited by the transmon relaxation and dephasing. Here we show that by using a multi-level transmon and conditional evolution on the transmon state after the gate, the SNAP gate can be made fault-tolerant to the dominant transmon relaxation and dephasing errors. The simulations show that the SNAP gate infidelity can be reduced compared to that of non-fault-tolerant SNAP gate. The fault-tolerant SNAP gates combined with the displacement operations on the cavity can realize fault-tolerant quantum computation in circuit QED.

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Presenters

  • Wen-Long Ma

    Department of Applied Physics and Physics, Yale University

Authors

  • Wen-Long Ma

    Department of Applied Physics and Physics, Yale University

  • Kyungjoo Noh

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

  • Philip Reinhold

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

  • Serge Rosenblum

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

  • Steven Girvin

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

  • Robert J Schoelkopf

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

  • 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