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Author

Berta Casas

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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
Open access Jul 2026

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

A metric for binary classification tasks, the class margin, is introduced, which analytically connects data-induced randomness with classification accuracy for a given data-embedding map, demonstrating its ability to identify data-induced randomness that hinders classification performance.

Berta Casas, Xavier Bonet-Monroig, Adrián Pérez-Salinas · 0 citations

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