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The role of data-induced randomness in quantum machine learning classification tasks

npj Quantum Information

Abstract

Abstract Quantum machine learning (QML) has surged as a prominent area of research with the objective to go beyond the capabilities of classical machine learning models. A critical aspect of any learning task is the process of data embedding, which directly impacts model performance. Poorly designed data-embedding strategies can significantly impact the success of a learning task. Despite its importance, rigorous analyses of data-embedding effects are limited, leaving many cases without effective assessment methods. In this work, we introduce a metric for binary classification tasks, the class margin , by merging the concepts of average randomness and classification margin. This metric analytically connects data-induced randomness with classification accuracy for a given data-embedding map. We benchmark a range of data-embedding strategies through class margin , demonstrating its ability to identify data-induced randomness that hinders classification performance. We expect this work to provide a new approach to evaluate QML models by their data-embedding processes, addressing gaps left by existing analytical tools

Authors 3

  1. Berta Casas corresponding

    Universitat de Barcelona · Barcelona Supercomputing Center

    Affiliation as printed

    Barcelona Supercomputing Center, Barcelona, Spain

    Universitat de Barcelona, Barcelona, Spain

  2. Leiden University

    Affiliation as printed

    Honda Research Institute Europe GmbH, Offenbach am Main, Germany

    Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands

    〈aQa〉 Applied Quantum Algorithms, Universiteit Leiden, Leiden, The Netherlands

  3. Leiden University

    Affiliation as printed

    Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands

    〈aQa〉 Applied Quantum Algorithms, Universiteit Leiden, Leiden, The Netherlands

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