Chaos in Quantum Weightless Neuron Node Dynamics

被引：6
|
作者：
de Paula Neto, Fernando M. [1 ]
de Oliveira, Wilson R. [2 ]
de Silva, Adenilton J. [1 ,2 ]
Ludermir, Teresa B. [1 ]
机构：
[1] Univ Fed Pernambuco, Ctr Informat, Recife, PE, Brazil
[2] Univ Fed Rural Pernambuco, Dept Estat & Informat, Recife, PE, Brazil
来源：
NEUROCOMPUTING | 2016年 / 183卷
关键词：
Quantum computing; Weightless neural networks; Quantum neural networks; Chaos; EXPONENTIAL SENSITIVITY; NETWORKS; SYSTEMS;
D O I：
10.1016/j.neucom.2015.02.103
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In order to investigate the dynamics of a quantum weightless neuron node we feed its output back as input. Due to the fact that controlled operators used in the neuron circuit usually generate entanglement, we propose a mathematical method to extract the output at time t and build from that output the input at time t+1. As a result the time evolution is a real-valued nonlinear map with one real parameter. The dynamics orbits are plotted showing acute sensitivity to initial conditions clearly exhibiting nonlinearity by just looking at amplitude graphs. The fractal geometry and regions of convergence are discussed by their Julia Set images and a new measure for model comparison is put forward. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：23 / 38
页数：16
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