Channel induced dynamics of quantum information in mixed state free QFTs

TL;DR

This paper introduces a framework representing quantum field excitations as channels, analyzing their dynamics in free QFTs through entropy and fidelity measures, with applications to vacuum and thermofield double states.

Contribution

It presents a novel approach to model quantum field excitations as channels, enabling detailed analysis of their dynamics in free QFTs.

Findings

Quantum channels effectively describe field excitation dynamics.

Unitary and non-unitary Gaussian channels impact quantum states.

Entropy and fidelity metrics quantify channel effects.

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.