Foundations of Physics Letters

, Volume 18, Issue 4, pp 357–370

A Recurrent Quantum Neural Network Model to Describe Eye Tracking of Moving Targets

  • Laxmidhar Behera
  • Indrani Kar
  • Avshalom C. Elitzur
Original Article

DOI: 10.1007/s10702-005-7125-6

Cite this article as:
Behera, L., Kar, I. & Elitzur, A. Found Phys Lett (2005) 18: 357. doi:10.1007/s10702-005-7125-6

Abstract

A theoretical quantum neural network model is proposed using a nonlinear Schrödinger wave equation. The model proposes that there exists a nonlinear Schrödinger wave equation that mediates the collective response of a neural lattice. The model is used to explain eye movements when tracking moving targets. Using a recurrent quantum neural network(RQNN) while simulating the eye tracking model, two very interesting phenomena are observed. First, as eye sensor data is processed in a classical neural network, a wave packet is triggered in the quantum neural network.This wave packet moves like a particle. Second, when the eye tracks a fixed target, this wave packet moves not in a continuous but rather in a discrete mode. This result reminds one of the saccadic movements of the eye consisting of ‘jumps’ and ‘rests’. However, such a saccadic movement is intertwined with smooth pursuit movements when the eye has to track a dynamic trajectory. In a sense, this is the first theoretical model explaining the experimental observation reported concerning eye movements in a static scene situation. The resulting prediction is found to be very precise and efficient in comparison to classical objective modeling schemes such as the Kalman filter.

Key words:

nonlinear Schrödinger wave equationquantum dynamicssaccadic eye movementsneural networkquantum computation

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Laxmidhar Behera
    • 1
  • Indrani Kar
    • 1
  • Avshalom C. Elitzur
    • 2
  1. 1.Department of Electrical EngineeringIndian Institute of TechnologyKanpurIndia
  2. 2.Unit of Interdisciplinary StudiesBar-IIan UniversityRamat-GanIsrael