Channel induced dynamics of quantum information in mixed state free QFTs

Abstract

We propose a framework for Quantum Field Theory (QFT) studies that allows us to represent field excitations as quantum channels. We demonstrate inner-workings of the proposed scheme for two universal states: the regularized vacuum state of a one dimensional QFT system and the lattice-regulated Thermofield Double State of two identical free QFTs. We investigate actions of unitary and non-unitary Bosonic Gaussian channels (including Petz Recovery maps). To evaluate and quantify the character of the channel static action and channel induced dynamics we calculate quantum entropies and fidelities.