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quant-ph2025
Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources
Alejandro Borda, Julian Rincon, César Galindo
We show that single-qudit universality in Clifford-based gate sets follows a trichotomy determined by the prime factorization of the local dimension . For prime , any gate ou…
math.CT2025
A Note on the Eilenberg-Mac Lane Isomorphism for Quadratic Forms
César Galindo
We give an elementary proof of the Eilenberg-Mac Lane trace isomorphism between the third 2-abelian cohomology group and quadratic forms. Our approach yields explicit constructions…
math.QA2025
Zestings of Hopf Algebras
Iván Angiono, César Galindo, Giovanny Mora
We extend the previously established zesting techniques from fusion categories to general tensor categories. In particular we consider the category of comodules over a Hopf algebra…