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Spiking Neuromorphic Chip Encodes Quantum Entanglement Correlations

ORAL

Abstract

Analog neuromorphic chips, inspired by structural and dynamical properties of the biological brain, show a high energy efficiency in running artificial neural-network architectures for the profit of generative applications. Together with recent proposals for artificial neural networks to encode quantum states, this encourages employing such hardware systems as platforms for simulations of quantum system or quantum state tomography.
Here we report on the realization of a prototype using the spike-based BrainScaleS hardware developed in the context of European’s Human Brain Project (HBP). This chip realizes fast analog dynamics to boost computationally expensive tasks.
The probabilistic implementation of quantum states is achieved through Bayesian sampling by the spiking neurons. Furthermore, a specific Hebbian learning scheme exploits the hardware speed and allows for a variety of network topologies. Training the hardware-encoded network to represent maximally entangled quantum states of up to four qubits reaches high fidelities. Extracted Bell correlations for two-qubit states convey that non-classical features are captured by the analog hardware, demonstrating the feasibility of simulating quantum systems with spiking neuromorphic chips.

Presenters

  • Stefanie Czischek

    University of Waterloo, Department of Physics and Astronomy, University of Waterloo

Authors

  • Stefanie Czischek

    University of Waterloo, Department of Physics and Astronomy, University of Waterloo

  • Andreas Baumbach

    Universität Heidelberg, Kirchhoff Institute for Physics, Heidelberg University

  • Sebastian Billaudelle

    Kirchhoff Institute for Physics, Heidelberg University

  • Benjamin Cramer

    Kirchhoff Institute for Physics, Heidelberg University

  • Lukas Kades

    Institute for Theoretical Physics, Heidelberg University

  • Jan M. Pawlowski

    Institute for Theoretical Physics, Heidelberg University

  • Johannes Schemmel

    Kirchhoff Institute for Physics, Heidelberg University

  • Markus Oberthaler

    Kirchhoff Institute for Physics, Heidelberg University

  • Mihai Petrovici

    Department of Physiology, University of Bern

  • Thomas Gasenzer

    Universität Heidelberg, Kirchhoff Institute for Physics, Heidelberg University

  • Martin Gaerttner

    University Heidelberg, Kirchhoff Institute for Physics, Heidelberg University, Universität Heidelberg