Author

Diego García-Martín

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Preprint Oct 2026

Complexity separations for optimal matchgate-Clifford synthesis

Clifford and matchgate circuits are canonical families of classically simulable quantum circuits. Their intersection, the matchgate-Clifford group, plays an important role in randomized fermionic protocols and in matchgate synthesis. Its adjoint action is isomorphic to the group of unit-determinant signed permutations...

Berta Casas, Diego García-Martín, Yuxuan Zhang · 1 citation

Preprint Aug 2026

Quantum Gaussian processes for prediction of channel observations

This work proves convergence of the channel's outputs to a QGP and derive the associated closed-form kernel under a uniform (Lebesgue measure) prior over quantum channels and proposes an empirical Bayes heuristic that replaces the dimensional factor with a learnable scale parameter while retaining the kernel's state-ov...

J. Jäger, Yaroslav Khmelnitskiy, Paolo Braccia et al. · 0 citations