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Quantum error correction of a qubit encoded in grid states of an oscillator

Invited

Abstract

In 2001, Gottesman, Kitaev and Preskill (GKP) proposed to encode a fully correctable logical qubit in grid states of a single harmonic oscillator. Although this code was originally designed to correct against shift errors, GKP qubits are robust against virtually all realistic error channels. Since this proposal, other bosonic codes have been extensively investigated, but only recently were the exotic GKP states experimentally synthesized and stabilized. These experiments relied on stroboscopic interactions between a target oscillator and an ancillary two-level system to measure non-destructively the GKP code error syndromes.
In this talk, I will review the fascinating properties of the GKP code and the conceptual and experimental tools developed for trapped ions and superconducting circuits, which enabled quantum error correction of a logical GKP qubit encoded in a microwave cavity. I will describe ongoing efforts to suppress further logical errors, and in particular to avoid the apparition of uncorrectable errors stemming from the noisy ancilla involved in error syndrome detection.

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Presenters

  • Phillipe Campagne-Ibarcq

    Inria, INRIA Paris, Quantic team, Inria Paris

Authors

  • Phillipe Campagne-Ibarcq

    Inria, INRIA Paris, Quantic team, Inria Paris

  • Alec Eickbusch

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

  • Steven Touzard

    Natl University of Singapore, Department of physics, National University of Singapore, Yale University, Nat. Univ. of Singapore

  • Christian Siegele

    INRIA Paris, Quantic team, Inria Paris

  • Evan Zalys-Geller

    Department of physics, MIT, Massachusetts Institute of Technology MIT

  • Nicholas Frattini

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

  • Volodymyr Sivak

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

  • Philip Reinhold

    Department of Applied Physics and Physics, Yale University

  • Shruti Puri

    Yale University, Yale Quantum Institute, Yale University, Department of Applied Physics, Yale University, Department of Applied Physics and Physics, Yale University

  • Shyam Shankar

    University of Texas at Austin, Yale University, Department of electrical and computer engineering, University of Austin, Yale University, Univ. of Texas at Austin

  • Robert J Schoelkopf

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

  • Luigi Frunzio

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

  • Mazyar Mirrahimi

    INRIA Paris, Quantic team, Inria Paris, Yale University, INRIA Paris, QUANTIC team, INRIA

  • Michel Devoret

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