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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…
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…