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.

*This research was supported by ARO under Grant No. W911NF-18-1-0212 and ARO grant No. W911NF-16- 1-0349.

–

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