3 papers
quant-ph2026
Localization of quantum states within subspaces from the Lebesgue decomposition
L. L. Salcedo
Relying on the Lebesgue-type decomposition of positive operators, this work introduces a rigorous notion of localization probability of a quantum state within a given subspace of i…
hep-th2025
Linearized renormalization
L. L. Salcedo
Using an infinitesimal approach, this work addresses the renormalization problem to deal with the ultraviolet divergences arising in quantum field theory. Under the assumption that…
quant-ph2024
Reduction of unitary operators, quantum graphs and quantum channels
L. L. Salcedo
Given a unitary operator in a finite dimensional complex Hilbert space, its unitary reduction to a subspace is defined. The application to quantum graphs is discussed. It is shown…