Selected applications of models based on quantum computing

Abstract

The work discusses mathematical models using paradigms developed for quantum phenomena, including the vector-matrix Hilbert space and quantum gates for linear transformations of states to build a day-ahead market model (DAM). The article presents the most popular directions in the development of models using tools used in the description of quantum phenomena to present the methodology of conducting this type of calculation. Mathematical structures such as Hilbert space and operations on this space were used to build a quantum-inspired Artificial Neural Network. The work presents the proposition of implementation of DAM system to build a Neural Network Model with usage quantum phenomena based on Hilbert space. The concept of quantum processing based on quantum circuits was also noticed due to its large use and the development of implementing tools as a supplement to the entire area of development of building models based on quantum computing.