Towards scalable bosonic quantum error correction

HZB Repository (Helmholtz-Zentrum Berlin für Materialien und Energie GmbH (HZB))

Abstract

We review some of the recent efforts in devising and engineering bosonic qubits for superconducting devices, with emphasis on the Gottesman–Kitaev–Preskill (GKP) qubit. We present some new results on decoding repeated GKP error correction using finitely-squeezed GKP ancilla qubits, exhibiting differences with previously studied stochastic error models. We discuss circuit-QED ways to realize CZ gates between GKP qubits and we discuss different scenarios for using GKP and regular qubits as building blocks in a scalable superconducting surface code architecture.

Authors 3

1. Barbara M. Terhal Aachen

   RWTH Aachen University · Jülich Aachen Research Alliance · Delft University of Technology

   Affiliation as printed

   JARA-IQI - JARA-Institute for Quantum Information (RWTH Aachen University, D-52074 Aachen - Germany)

   TU Delft - Delft University of Technology (Postbus 5, 2600 AA Delft - Netherlands)

2. Jonathan Conrad

   Freie Universität Berlin · Helmholtz-Zentrum Berlin für Materialien und Energie

   Affiliation as printed

   Dahlem Center for Complex Quantum Systems & Fachbereich Physik (Arnimallee 14, D-14195 Berlin - Germany)

   HZB - Helmholtz-Zentrum Berlin für Materialien und Energie GmbH = Helmholtz Centre Berlin for Materials and Energy = Centre Helmholtz de Berlin pour les matériaux et l'énergie (Hahn-Meitner-Platz 1, 14109 Berlin, Bundesrepublik Deutschland - Germany)

3. Christophe Vuillot

   MOCQUA: Modèles de calcul émergents

   Affiliation as printed

   MOCQUA - Designing the Future of Computational Models (615 rue du Jardin Botanique 54600 Villers-lès-Nancy - France)