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    We introduce a new framework for quantum neurons using kernel machines, enabling more efficient and adaptable quantum algorithms on current devices. This approach enhances problem-solving capabilities and paves the way for practical quantum advantage.

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    Area of Science:

    • Quantum Computing
    • Machine Learning
    • Algorithm Development

    Background:

    • Noisy intermediate-scale quantum devices limit current quantum algorithm implementations.
    • Existing quantum neurons have limitations in feature mapping and circuit complexity.

    Purpose of the Study:

    • Propose a generalized framework for building quantum neurons based on kernel machines.
    • Introduce a novel quantum neuron with tensor-product feature mapping for enhanced performance.
    • Investigate the impact of parametrization on quantum neuron activation functions.

    Main Methods:

    • Developed a generalized framework for quantum neurons utilizing kernel machines.
    • Implemented a new quantum neuron with tensor-product feature mapping and constant-depth circuits.
    • Analyzed and compared activation function shapes and discriminative abilities of different quantum neurons.
    • Validated solutions using quantum simulations and real-world problems like handwritten digit recognition.

    Main Results:

    • The proposed quantum neuron maps to an exponentially larger feature space with efficient circuit implementation.
    • Parametrization allows the novel quantum neuron to optimally fit patterns intractable for existing neurons.
    • Demonstrated superior performance in nonlinear toy classification and handwritten digit recognition tasks.
    • Quantum neurons with classical activation functions were also contrasted.

    Conclusions:

    • The generalized framework offers flexibility in feature mapping for quantum neurons.
    • The proposed tensor-product quantum neuron exhibits improved discriminative abilities due to parametrization.
    • This work contributes a more capable quantum neuron, advancing the pursuit of practical quantum advantage.