Author

Javier Gonzalez-Conde

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Preprint Sep 2026

Quantum algorithms for the exponentiation of Toeplitz matrices and applications in partial differential equations

We present quantum algorithms to approximate the exponential of banded Toeplitz matrices. These matrices have central importance in many PDE related problems, but their quantum implementation is hindered by their possibly large norms. Constructing directly the exponential we can circumvent this limitation. By relating...

Xabier Gutiérrez, Nicola Mariella, Javier Gonzalez-Conde et al. · 0 citations

Preprint Sep 2026

Quantum Hamiltonian Evolution for Coherent Quantum Learning

We introduce Coherent Quantum Learning (CQL), a training framework for quantum learning models in which the model parameters are quantum degrees of freedom evolved under a Hamiltonian that encodes the loss function. Current quantum machine learning retains classical optimization: parameters are updated by a classical o...

Ignacio B. Acedo, Javier Gonzalez-Conde, Pablo Rodriguez-Grasa et al. · 0 citations