Stable Quantum Filters with Scattering Phenomena

Quantum neural network filters for signal processing have received a lot of interest in the recent past.The implementations of these filters had a number of design parameters that led to numerical inefficiencies.At the same time the solution procedures employed were explicit in that the evolution of the time-varying functions had to be controlled.This often led to numerical instabilities.This paper outlines a procedure for improving the stability,numerical efficiency,and the accuracy of quantum neural network filters.Two examples are used to illustrate the principles employed.