Realizing Quantum Convolutional Neural Networks on a Superconducting Quantum Processor to Recognize Quantum Phases

ORAL

Abstract

Quantum computing crucially relies on the ability to efficiently characterize the quantum states output by quantum hardware. Conventional methods which probe these states through direct measurements and classically computed correlations become computationally expensive when increasing the system size. Quantum neural networks tailored to recognize specific features of quantum states by combining unitary operations, measurements and feedforward promise to require fewer measurements and to tolerate errors. Here, we realize a quantum convolutional neural network (QCNN) on a 7-qubit superconducting quantum processor to identify symmetry-protected topological (SPT) phases of a spin model characterized by a non-zero string order parameter. We benchmark the performance of the QCNN based on approximate ground states of a family of cluster-Ising Hamiltonians which we prepare using a hardware-efficient, low-depth state preparation circuit. We find that, despite being composed of finite-fidelity gates itself, the QCNN recognizes the topological phase with higher fidelity than direct measurements of the string order parameter for the prepared states.

*The authors acknowledge financial support by the EU program H2020-FETOPEN project 828826 Quromorphic, by the EU Flagship on Quantum Technology H2020-FETFLAG2018-03 project 820363 OpenSuperQ, by the Office of the Director of National Intelligence (ODNI), Intelligence Advanced Research Projects Activity (IARPA), via the U.S. Army Research Office grant W911NF-16-1-0071, by the National Centre of Competence in Research Quantum Science and Technology (NCCR QSIT), a research instrument of the Swiss National Science Foundation (SNSF), by the SNFS R'equip grant 206021-170731 and by ETH Zurich. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the ODNI, IARPA, or the U.S. Government.

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Publication: https://arxiv.org/abs/2109.05909

Presenters

  • Johannes Herrmann

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

Authors

  • Johannes Herrmann

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Sergi Masot Llima

    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Ants Remm

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Petr Zapletal

    • University of Erlangen-Nuremberg
    • Department of Physics, Friedrich-Alexander University Erlangen-Nürnberg (FAU), Erlangen, Germany

  • Nathan A McMahon

    • Department of Physics, Friedrich-Alexander University Erlangen-Nürnberg (FAU), Erlangen, Germany

  • Colin Scarato

    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Francois Swiadek

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Christian Kraglund Andersen

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Christoph Hellings

    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Sebastian Krinner

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Nathan Lacroix

    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Stefania Lazar

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Michael Kerschbaum

    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland
    • ETH Zurich

  • Dante Colao Zanuz

    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Graham J Norris

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Michael J Hartmann

    • FAU Erlangen
    • Friedrich-Alexander University Erlangen-Nurnberg
    • Department of Physics, Friedrich-Alexander University Erlangen-Nürnberg (FAU), Erlangen, Germany
    • University Erlangen-Nürnberg
    • Friedrich-Alexander-University

  • Andreas Wallraff

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland

  • Christopher Eichler

    • ETH Zurich
    • Department of Physics, ETH Zurich, CH-8093 Zurich, Switzerland