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...

Fourteen years ago John Archibald Wheeler launched his “it from bit” project to try and derive physics from information theory. We advance here a conceptual framework for this Wheeler program (WP), and summarize some recent progress with reference to different aspects of the role that...

In this work, a method based on information theory is developed to make predictions from a sample of nonlinear time series data. Numerical examples are given to illustrate the effectiveness of the proposed method.

Starting with a classical Hamiltonian function H, we show that, if we select among its phase–space trajectories those that minimize Fisher’s information measure, the resulting trajectories coincide with the stationary ones of their quantum counterparts. Hˆ of H.

We devise a maximum entropy technique to construct (approximate) time-dependent solutions to evolution equations endowed with source terms and, consequently, not preserving normalization. In some special cases the method yields exact solutions. It is shown that the present implementation of the...

Our protagonists are (i) the Cressie–Read family of divergences (characterized by the parameter γ), (ii) Tsallis’ generalized relative entropies (characterized by the q one), and, as a particular instance of both, (iii) the Kullback–Leibler (KL) relative entropy. In their normalized...

We generate a family of phase space, thermal coherent-state’s representations, within the framework of Tsallis’ Generalized Statistical Mechanics and study their properties. Our protagonists are q-gaussian distributions. We obtain analytical expressions for the most important...