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      <subfield code="a">Chicano-García, José-Francisco</subfield>
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      <subfield code="a">Luque-Polo, Gabriel Jesús</subfield>
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      <subfield code="a">Dahi, Zakaria Abdelmoiz</subfield>
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      <subfield code="a">Gil-Merino, Rodrigo</subfield>
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      <subfield code="c">2025-01</subfield>
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      <subfield code="a">Quantum computers leverage the principles of quantum mechanics to do computation with a potential advantage over classical computers. While a single classical computer transforms one particular binary input into an output after applying one operator to the input, a quantum computer can apply the operator to a superposition of binary strings to provide a superposition of binary outputs, doing computation apparently in parallel. This feature allows quantum computers to speed up the computation compared to classical algorithms. Unsurprisingly, quantum algorithms have been proposed to solve optimization problems in quantum computers. Furthermore, a family of quantum machines called quantum annealers are specially designed to solve optimization problems. In this paper, we provide an introduction to quantum optimization from a practical point of view. We introduce the reader to the use of quantum annealers and quantum gate-based machines to solve optimization problems.</subfield>
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      <subfield code="a">This tutorial is a preprint submitted to Engineering Optimization in July 2024. The accepted version can be found at https://doi.org/10.1080/0305215X.2024.2435538</subfield>
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      <subfield code="a">Computación cuántica</subfield>
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      <subfield code="a">Combinatorial Optimization with Quantum Computers.</subfield>
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