Information transmission, energy transfer, and correlation distribution in curved spacetimes

Abstract

This PHD project aims to study the communication of classical and quantum information as well as the dynamics of correlations in curved space-times. Quantum Field Theory in Curved Spacetimes (QFTCS) is the ideal tool to study Quantum Information Theory (QIT) in a relativistically consistent way. Thus, in the present project, the aim is to study the interplay between QFTCS with QIT to not only find new effects of low energy (i.e. energies much smaller than Planck energy) quantum gravity but also to study the influence of relativity in QIT. During the project period we intend to analyze mainly: (1) the capacity to communicate classical and quantum information between two or more parts in globally arbitrary hyperbolic spacetimes as well as the energy cost for the transmission of information; (2) the dynamics of total correlations between two or more parts, as well as their classical and quantum part, in curved spacetimes. Particular attention will be given to spacetimes containing causal horizons or bifurcated Killing horizons. We hope, at the end of the project, to gain a deeper understanding of QIT in relativistic contexts as well as shed some light on some of QFTCS's open issues, such as the destruction of information by black holes. (AU)