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<p>The paper presents selected elements of a modelling methodology involving quantization, quantum calculations and dequantization on the example of the neural model of the Day-Ahead Market of the Polish Electricity Exchange. Based on the fundamental assumptions of quantum computing, a new method has been proposed here of converting the real numbers in decimal notation into quantum mixed numbers using the probability modules of quantum mixed number and the principle of superposition, along with a new method of quantum calculations using linear algebra and vectormatrix calculus, and the Artificial Neural Network was taught accordingly. Dequantization of quantum mixed numbers to real numbers in decimal notation using the new method of dequantization has been proposed as well. The operation of the methods introduced was shown on numerical examples.</p>
</abstract>

The paper presents selected elements of a modelling methodology involving quantization, quantum calculations and dequantization on the example of the neural model of the Day-Ahead Market of the Polish Electricity Exchange. Based on the fundamental assumptions of quantum computing, a new method has been proposed here of converting the real numbers in decimal notation into quantum mixed numbers using the probability modules of quantum mixed number and the principle of superposition, along with a new method of quantum calculations using linear algebra and vectormatrix calculus, and the Artificial Neural Network was taught accordingly. Dequantization of quantum mixed numbers to real numbers in decimal notation using the new method of dequantization has been proposed as well. The operation of the methods introduced was shown on numerical examples.

Quantum-inspired method of neural modeling of the day-ahead market of the Polish electricity exchange

University of Natural Sciences and Humanities

Control and Cybernetics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The paper presents selected elements of a modelling methodology involving quantization, quantum calculations and dequantization on the example of the neural...

Quantum-inspired method of neural modeling of the day-ahead market of the Polish electricity exchange

Publicado en línea: 27 jun 2022

Páginas: 383 - 399

Recibido: 01 oct 2020

Aceptado: 01 feb 2021

DOI: https://doi.org/10.2478/candc-2021-0023

Palabras clave
artificial neural networks, day-ahead market, dequantization with ANN, neural modeling, quantum-inspired method, quantum computing, Polish Electricity Exchange, system quantization

© 2021 Jerzy Tchórzewsk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Quantum-inspired method of neural modeling of the day-ahead market of the Polish electricity exchange

Publicado en línea: 27 jun 2022

Páginas: 383 - 399

Recibido: 01 oct 2020

Aceptado: 01 feb 2021

DOI: https://doi.org/10.2478/candc-2021-0023

Palabras claveartificial neural networks, day-ahead market, dequantization with ANN, neural modeling, quantum-inspired method, quantum computing, Polish Electricity Exchange, system quantization

© 2021 Jerzy Tchórzewsk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Palabras clave
artificial neural networks, day-ahead market, dequantization with ANN, neural modeling, quantum-inspired method, quantum computing, Polish Electricity Exchange, system quantization