Carlos Pedro Gonçalves

Department of Management on Civil Aviation and Airports, Lusophone University of Humanities and Technologies, Lisbon, Portugal

Publications
  • Review Article   
    Quantum Neural Networks, Computational Field Theory and Dynamics
    Author(s): Carlos Pedro Gonçalves*

    To address Quantum Artificial Neural Networks (QuANNs) as quantum dynamical computing systems, a formalization of quantum artificial neural networks as dynamical systems is developed, expanding the concept of unitary map to the neural computation setting and introducing a quantum computing field theory on the network. The formalism is illustrated in a simulation of a quantum recurrent neural network and the resulting field dynamics is researched upon, showing emergent neural waves with excitation and relaxation cycles at the level of the quantum neural activity field, as well as edge of chaos signatures, with the local neurons operating as far-from-equilibrium open quantum systems, exhibiting entropy fluctuations with complex dynamics, including complex quasiperiodic patterns and power law signatures. The implications for quantum computer science, quantum complexi.. View more»

    DOI: 10.35248/2090-4908.22.11.246

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