11 citations · 33 across the 7 of their papers we have counts for
7 papers
Geometry from divergence functions and complex structures
Florio M. Ciaglia, Fabio Di Cosmo, Armando Figueroa +2
Motivated by the geometrical structures of quantum mechanics, we introduce an almost-complex structure on the product of any parallelizable statistical manifold …
Nonlinear Dynamics from Linear Quantum Evolutions
Florio M. Ciaglia, Fabio Di Cosmo, Armando Figueroa +5
Linear dynamics restricted to invariant submanifolds generally gives rise to nonlinear dynamics. Submanifolds in the quantum framework may emerge for several reasons: one could be…
Entanglement of extremal density matrices of 2-qubit Hamiltonian with Kramers degeneracy
A. Figueroa, O. Castanos, R. Lopez-Pena
We establish a novel procedure to analyze the entanglement properties of extremal density matrices depending on the parameters of a finite dimensional Hamiltonian. It was applied t…
Extremal Density Matrices for Qudit States
Armando Figueroa, Julio A. López-Saldívar, Octavio Castaños +1
An algebraic procedure to find extremal density matrices for any Hamiltonian of a qudit system is established. The extremal density matrices for pure states provide a complete desc…
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…
Entropy-energy inequalities for qudit states
Armando Figueroa, Julio López, Octavio Castaños +3
We establish a procedure to find the extremal density matrices for any finite Hamiltonian of a qudit system. These extremal density matrices provide an approximate description of t…