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- W4308351462 abstract "Quantum machine learning is a rapidly evolving field of research that could facilitate important applications for quantum computing and also significantly impact data-driven sciences. In our work, based on various arguments from complexity theory and physics, we demonstrate that a single Kerr mode can provide some quantum enhancements when dealing with kernel-based methods. Using kernel properties, neural tangent kernel theory, first-order perturbation theory of the Kerr non-linearity, and non-perturbative numerical simulations, we show that quantum enhancements could happen in terms of convergence time and generalization error. Furthermore, we make explicit indications on how higher-dimensional input data could be considered. Finally, we propose an experimental protocol, that we call emph{quantum Kerr learning}, based on circuit QED." @default.
- W4308351462 created "2022-11-11" @default.
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- W4308351462 date "2022-05-20" @default.
- W4308351462 modified "2023-09-27" @default.
- W4308351462 title "Quantum Kerr Learning" @default.
- W4308351462 doi "https://doi.org/10.48550/arxiv.2205.12004" @default.
- W4308351462 hasPublicationYear "2022" @default.
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