Grid states for encoding and stabilizing a logical qubit in superconducting circuits (Part 1)

ORAL

Abstract

Quantum computation requires that systems preserve quantum information in the presence of noise. The impact of this noise can be mitigated by redundantly encoding a quantum bit of information within a space with a large number of dimensions. Stabilization is done by detecting noise-induced transformations of the system state before the encoded information is lost. In 2001, Gottesman Kitaev and Preskill (GKP) proposed to encode a quantum bit in non-local grid states of a harmonic oscillator. Remarkably, GKP codes have the potential to protect quantum information against all known error channels. In this talk, I will review GKP code properties and present a protocol based on a tunable interaction with an ancillary two-level system to create and stabilize GKP grid states using phase-estimation of the harmonic oscillator field.

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Presenters

  • Alec Eickbusch

    Yale Univ

Authors

  • Alec Eickbusch

    Yale Univ

  • Steven Touzard

    Yale Univ, Applied Physics, Yale University

  • Phillipe Campagne-Ibarcq

    Yale Univ, Applied Physics, Yale University

  • Evan Zalys-Geller

    Yale Univ

  • Nicholas Frattini

    Yale Univ, Applied Physics, Yale University

  • Volodymyr Sivak

    Yale Univ

  • Shruti Puri

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

  • Mazyar Mirrahimi

    Yale Univ, Quantic Team, INRIA Paris, QUANTIC, INRIA Paris, QUANTIC, INRIA, Paris; YQI, Yale University, INRIA Paris and Yale University

  • Shyam Shankar

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

  • Michel H. Devoret

    Yale Univ, Applied Physics, Yale University, Department of Applied Physics, Yale University, Department of Applied Physics, Yale University, New Haven, Connecticut 06511, USA