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.

13 pages, 6 figures

References in corpus (9)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Complexity and Shock Wave Geometries
• A Survey on Quantum Channel Capacities
• Entanglement negativity after a global quantum quench
• The AdS/CFT Correspondence
• Entanglement of Local Operators in large N CFTs
• Quantum Information in Holographic Duality
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
• Subsystem complexity after a global quantum quench