AKLT ground state in "Bosonic Qiskit"

ORAL

Abstract

A collaboration within the Co-design Center for Quantum Advantage (C2QA) is currently building an instruction set architecture for hybrid qubit/oscillator circuit QED hardware using Qiskit, the IBM open-source software development kit (SDK). Qiskit has been designed to operate on two-level systems. The aim is to create a branch of Qiskit called "Bosonic Qiskit" which can accommodate continuous variable systems with a view to using "Bosonic Qiskit" to represent circuit QED hardware in the future. As a proof of concept of "Bosonic Qiskit", we use it to implement a symmetry protected topological state - the seminal AKLT chain - using the native bosonic operations made available in the SDK.

*This work is supported by U.S. Department of Energy, Co-design Center for Quantum Advantage under DE-SC0012704. We thank the Brookhaven National Laboratory operated IBM-Q Hub for additional support.

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Presenters

  • Eleanor Crane

    • University College London

Authors

  • Eleanor Crane

    • University College London

  • Kevin C Smith

    • Yale University & University of Washington

  • Timothy Stavenger

    • Pacific Northwest National Laboratory

  • Christopher Kang

    • Pacific Northwest National Laboratory & University of Washington

  • Nathan Wiebe

    • University of Toronto

  • Steven M Girvin

    • Yale University