We discuss the main properties of general non-additive entropic forms based on arbitrary concave functions and their relation with the theory of majorization. As application, we examine the generalized entropic criterion for separability of mixed states of composite quantum systems, where...

We investigate the changes in the entanglement of formation ΔE produced by quantum logical gates acting on composite quantum systems. We consider two-qubit, three-qubit, and two-qutrit systems. We prove that the ΔE-distributions generated by different quantum gates that can be obtained from...

We discuss the paradigmatic bipartite spin-12 system having the probabilities (1+3x)/4 of being in the Einstein–Podolsky–Rosen fully entangled state |Ψ−〉≡1/2(|↑〉A|↓〉B−|↓〉A|↑〉B) and 3(1−x)/4 of being orthogonal. This system is known to be separable if and only if...

In this paper, a model by which we study the interaction between a motional three-level atom and two-mode field injected simultaneously in a bichromatic cavity is considered; the three-level atom is assumed to be in a Λ-type configuration. As a result, the atom–field and the field–field...

Generalized quantum information theory is developed based on the nonadditive Tsallis entropy indexed by q. To see how this formalism is superior to the ordinary additive theory with the von Neumann entropy realized in the limit q→1, the problem of quantum entanglement of mixed states is...

A dissipative quantum walk (according to the semigroup approach) has been used as the starting point from which to study quantum correlations in an open system. This system is a fruitful model that allows the definition of several bipartite systems (sets of qubits). Thus the quantum correlations...

We apply information geometric (IG) techniques to study s-wave, scattering-induced quantum entanglement. Application of IG methods enables use of statistical manifolds associated with correlated and non-correlated Gaussian probability distribution functions to model the quantum entanglement of...

We consider the change of entanglement of formation ΔE produced by the Hadamard-CNOT circuit on a general (pure or mixed) state ρ describing a system of two qubits. We study numerically the probabilities of obtaining different values of ΔE, assuming that the initial state is randomly...

The paper discusses coordination games with remote players that have access to an entangled quantum state. It shows that the entangled state cannot be used by players for communicating information, but that in certain games it can be used for improving coordination of actions. A necessary...

With the help of the characteristic function and the covariance matrix, we study the effect of a dissipative bath on bipartite entanglement in a system of continuous variables with no direct inter-mode coupling. Under the dissipation induced by an Agarwal bath, the time evolution of entanglement...