Quantum computing based state domain equations and feedback control

Abstract

Quantum computing is gaining popularity in a variety of engineering fields. Especially in the case of automated process control. In light of ever-increasing technological sophistication and complexity, as well as demands on computing resources, the need for quantum versions of basic mathematical modelling and control theory tools is imminent. This paper presents a quantum computing formulation of state domain equations, a new quantum computing-based solver of differential equations based on a single qubit state, and a validation on a DC motor drive illustrative example using Matlab-based quantum algorithm. The quantum formulation of state equations is carried out with the help of a qubit state expressed as a time varying quantum spin based on the Bloch representation. A new method for solving state domain equations is presented, as well as the concept of quantum state feedback control and the ability to maintain a qubit state in a desired state. Two state domain control strategies developed with quantum computing tools are presented and compared to the exact classical solution, highlighting the methods’ effectiveness.