CENTRA Seminar - Relative information entropy in cosmology: The problem of information entanglement - 27 abril 2017
By NelmaS on Seg, 17/04/2017 - 19:16
Relative information entropy in cosmology: The problem of information entanglement
Abstract / Resumo
The necessary information to distinguish a local inhomogeneous mass density field from its spatial average on a compact domain of the universe can be measured by relative information entropy. The Kullback-Leibler (KL) formula arises very naturally in this context, however, it provides a very complicated way to compute the mutual information between spatially separated but causally connected regions of the universe in a realistic, inhomogeneous model. To circumvent this issue, by considering a parametric extension of the KL measure, we develop a simple model to describe the mutual information which is entangled via the gravitational field equations. We show that the Tsallis relative entropy can be a good approximation in the case of small inhomogeneities, and for measuring the independent relative information inside the domain, we propose the R\'enyi relative entropy formula.
27 de abril de 2017 | 14:30
Seminar room Physics Department