3 citations · 6 across the 10 of their papers we have counts for
11 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…
The fast recurrent subspace on an -level quantum energy transport model
Jorge R. Bolaños-Servín, Josué I. Rios-Cangas, Alfredo Uribe
The fast recurrent subspace (the biggest support of all invariant states) of a Weak Coupling Limit Type Quantum Markov Semigroup modeling a quantum transport open system of -ene…
A Characterization of Quantum Gaussian States in Terms of Annihilation Moments
Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas
We give a rigorous definition of moments of an unbounded observable with respect to a quantum state in terms of Yosida's approximations of unbounded generators of contractions semi…
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…
Canonical decomposition of dissipative linear relations
Josué I. Rios-Cangas
On the basis of Sz. Nagy-Foiaş-Langer and von Neumann-Wold decompositions, two decompositions for dissipative linear relations are given and they are realized by transforming invar…
Dissipative extension theory for linear relations
Josué I. Rios-Cangas, Luis O. Silva
This work is devoted to dissipative extension theory for dissipative linear relations. We give a self-consistent theory of extensions by generalizing the theory on symmetric extens…
Inner Products on the Space of Complex Square Matrices
Rubén A. Martínez-Avendaño, Josué I. Rios-Cangas
In this paper we study the problem of finding explicit expressions for inner products on the space of complex square matrices $\Mn$. We show that, given an inner product $\lip \cdo…