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

Abstract

A theoretical quantum brain model is proposed using a nonlinear Schroedinger wave equation. The model proposes that there exists a quantum process that mediates the collective response of a neural lattice (classical brain). The model is used to explain eye movements when tracking moving targets. Using a Recurrent Quantum Neural Network(RQNN) while simulating the quantum brain model, two very interesting phenomena are observed. First, as eye sensor data is processed in a classical brain, a wave packet is triggered in the quantum brain. 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.

Stable quantum filters with scattering phenomena

“…In the implementation of the filter, it can be seen that these conditions are met given the bound shown in (7). Indeed the bounds on the size of the potential well are also taken into account by ensuring that the spread of the signals are such that they are well within the well size, i. e., |L| > σ 2 , where L is the width of the well, in some sense representing the upper limit of the incoming signal.…”

“…It is possible to use a variety of algorithms to tune the values of m, ξ, and η [6] . The advantage of using the proposed scheme is that the solution becomes independent of the mass, m, of the quantum object (see (7) and (11)). This in turn reduces the number of independent design parameters to a choice of ξ and η, since the others are either set to unity or are the scheme that is independent of their values.…”

Retinamorphic bichromatic Schrödinger metamedia

“…In particular, this fact mainly refers to biological systems, because these systems are always quite far from stable state and their parameters frequently have exotic values. A theoretical quantum brain model was proposed in [1] using a linear and nonlinear Schrödinger wave equation. The model proposes that there exists a quantum process (quantum part of the brain) that mediates the collective response of a neural lattice (classical part of the brain).…”

Evaluating Quantum Neural Network filtered motor imagery brain-computer interface using multiple classification techniques

“…The solution of the SWE localizes the position of the quantum object in the vector space and gives us the activation function. The RQNN filtering approach has been implemented successfully in many practical applications such as robot control [9], eye tracking [10], physiological signal filtering [6,11] and stock market prediction [12].…”