SOFT COMPUTATION USING ARTIFICIAL NEURAL ESTIMATION AND LINEAR MATRIX INEQUALITY TRANSMUTATION FOR CONTROLLING SINGULARLY-PERTURBED CLOSED TIMEINDEPENDENT QUANTUM COMPUTATION SYSTEMS,PART B: HIERARCHICAL REGULATION IMPLEMENTATION

摘要

A new method of intelligent control for time-independent closed quantum computation systems is introduced in this second part of the paper. The goal is to apply a new implementation of intelligent hierarchical control method within quantum computing systems where the obtained results are satisfying for the robust control of time-independent quantum computations. The new method utilizes supervised recurrent artificial neural networks (ANN) to estimate parameters of the [ A ] transformed system matrix. After system matrix estimation is performed, linear matrix inequality (LMI) is used to determine the permutation matrix [P] so that a complete system transmutation {[ B ], [ C], [ D]} is accomplished. The transformed system model is then reduced using singular perturbation and state feedback control is implemented for system performance enhancement. In quantum computing and mechanics, a closed system is an isolated system that can't exchange energy or matter with its surroundings and doesn't interact with other quantum systems. In contrast to open quantum systems, closed quantum systems obey the unitary evolution and thus are information lossless. The experimental simulations were implemented upon the time-independent closed quantum computing system using the important quantum case of a particle in a finite-walled box for an m-valued quantum computing in which the resulting distinct energy states are used as the orthonormal basis states. Although several other diverse conventional control methodologies and schemes can exist for the purpose of controlling computational circuits and systems, the introduced intelligent hierarchical control method simplifies the order of the ANN-estimated LMI-transformed eigenvalue-preserved quantum model, and thereafter synthesizes - as demonstrated - simpler controllers for the utilized closed time-independent quantum computation devices, circuits and systems, that achieve the desired enhanced quantum system performance.