6 papers
-Semigroups on d.m.o. linear relations
Luis D. Regalado-Hernández, Josué I. Rios-Cangas
This article develops a theory of one-parameter semigroups for linear relations, introducing the notion of domain-multivalued orthogonal (d.m.o.) relations. We establish complete c…
Inner products on the Hilbert space of Hilbert--Schmidt operators
Josué I. Rios-Cangas
This work presents a rigorous characterization of inner products on the Hilbert space of Hilbert--Schmidt operators. We first deal with a general setting of continuous sesqui…
On the analytical approach to infinite-mode Boson-Gaussian states
Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas
We develop an analytical approach to quantum Gaussian states in infinite-mode representation of the Canonical Commutation Relations (CCR's), using Yosida approximations to define i…
Quantum error-correcting codes via inner products and error bases
Jorge R. Bolaños-Servín, Yuriko Pitones, Josué I. Rios-Cangas
In this paper, we address the problem of state communication in finite-level quantum systems through noise-affected channels. Our approach is based on a self-consistent theory of d…
Transition maps between Hilbert subspaces and quantum energy transport
Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas
We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator . By using these transiti…
Perturbation theory for selfadjoint relations
Josué I. Rios-Cangas, Luis O. Silva
We study Weyl-type perturbation theorems in the context of linear closed relations. We establish general results on perturbations for dissipative relations. In the particular case…