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Basic quantum circuits for classification and approximation tasks Cover
Open Access
|Dec 2020

Abstract

We discuss a quantum circuit construction designed for classification. The circuit is built of regularly placed elementary quantum gates, which implies the simplicity of the presented solution. The realization of the classification task is possible after the procedure of supervised learning which constitutes parameter optimization of Pauli gates. The process of learning can be performed by a physical quantum machine but also by simulation of quantum computation on a classical computer. The parameters of Pauli gates are selected by calculating changes in the gradient for different sets of these parameters. The proposed solution was successfully tested in binary classification and estimation of basic non-linear function values, e.g., the sine, the cosine, and the tangent. In both the cases, the circuit construction uses one or more identical unitary operations, and contains only two qubits and three quantum gates. This simplicity is a great advantage because it enables the practical implementation on quantum machines easily accessible in the nearest future.

DOI: https://doi.org/10.34768/amcs-2020-0054 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 733 - 744
Submitted on: Jan 23, 2020
Accepted on: Oct 29, 2020
Published on: Dec 31, 2020
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2020 Joanna Wiśniewska, Marek Sawerwain, Andrzej Obuchowicz, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.