Can Controlled Hodgkin − Huxley Neuron Model Quantum Computations?


Borısenok S.

6th INTERNATIONAL CONFERENCE ON ENGINEERING AND NATURAL SCIENCES (ICENS), Belgrade, Serbia, 21 - 25 October 2020, pp.9-14

  • Publication Type: Conference Paper / Full Text
  • City: Belgrade
  • Country: Serbia
  • Page Numbers: pp.9-14

Abstract

The dynamical system corresponding to the Hodgkin-Huxley (HH) neuron contains the control parameter, for instance the electrical current or other external signal, stimulating the action potential (outcome) in the axon. Choosing the appropriate shape of the control via speed gradient or alternative algorithms one can keep the system imitating a quantum behavior. The controlled four-dimensional HH system in this case involves the effects similar to the quantum phase contributions to the computational process. We provide a simple example of the HH-based computational algorithm following the quantum paradigm. Our approach can open a novel method for the practical realization of quantum algorithms and develop new perspectives for the computational properties of artificial neural networks.