29 citations · 89 across the 9 of their papers we have counts for
9 papers · 1 filter
Symplectic tomographic probability distribution of crystallized Schrödinger cat states
Julio A. López-Saldívar, Vladimir I. Man'ko, Margarita A. Man'ko
Within the framework of the probability representation of quantum mechanics, we study a superposition of generic Gaussian states associated to symmetries of a regular polygon of n…
Differential Parametric Formalism for the Evolution of Gaussian States: Nonunitary Evolution and Invariant States
Julio A. López-Saldívar, Margarita A. Man'ko, Vladimir I. Man'ko
In a differential approach elaborated, we study the evolution of the parameters of Gaussian, mixed, continuous variable density matrices, whose dynamics are given by Hermitian Hami…
General superposition states associated to the rotational and inversion symmetries in the phase space
Julio A López-Saldívar
The general quantum superposition states containing the irreducible representation of the -dimensional groups associated to the rotational symmetry of the -sided regular poly…
A New Mechanism of Open System Evolution and Its Entropy Using Unitary Transformations in Noncomposite Qudit Systems
Julio A. López-Saldívar, Octavio Castaños, Margarita A. Man'ko +1
The evolution of an open system is usually associated with the interaction of the system with an environment. A new method to study the open-type system evolution of a qubit (two-l…
Qubit representation of qudit states: correlations and state reconstruction
Julio A. López-Saldívar, Octavio Castaños, Margarita A. Man'ko +1
A method to establish a qubit decomposition of a general qudit state is presented. This new representation allows a geometrical depiction of any qudit state in the Bloch sphere. Ad…
Geometry and Entanglement of Two-Qubit States in the Quantum Probabilistic Representation
Julio A. López-Saldívar, Octavio Castaños, Eduardo Nahmad-Achar +3
A new geometric representation of qubit and qutrit states based on probability simplexes is used to describe the separability and entanglement properties of density matrices of two…
Entropic bounds between two thermal equilibrium states
Julio A. López-Saldívar, Octavio Castaños, Margarita A. Man'ko +1
The positivity conditions of the relative entropy between two thermal equilibrium states and are used to obtain upper and lower bounds for the subtraction of th…
Discretization of the density matrix as a nonlinear positive map and entanglement
Julio A. López-Saldívar, Armando Figueroa, Octavio Castaños +3
The discretization of the density matrix is proposed as a nonlinear positive map for systems with continuous variables. This procedure is used to calculate the entanglement between…
Evolution and entanglement of Gaussian states in the parametric amplifier
Julio A. López-Saldívar, Armando Figueroa, Octavio Castaños +3
The linear time-dependent constants of motion of the parametric amplifier are obtained and used to determine in the tomographic-probability representation the evolution of a genera…