Towards a Field-Theory based Relativistic Quantum Information

TL;DR

This paper develops a framework for quantum information in relativistic systems using quantum field correlation functions, combining the Quantum Temporal Probabilities method and the Closed-Time-Path formalism.

Contribution

It introduces a novel approach integrating measurement theory and causal evolution in relativistic quantum information via two formalisms.

Findings

Established links between measurement concepts and path-integrals.

Connected quantum informational concepts with non-equilibrium quantum field theories.

Provided a formal basis for future developments in relativistic quantum information.

Abstract

We present our program for the development of quantum informational concepts in relativistic systems in terms of the unequal-time correlation functions of quantum fields. We employ two formalisms that provide the basis for further developments. (i) The Quantum Temporal Probabilities (QTP) Method for quantum field measurements and (ii) the Closed- Time-Path (CTP) formalism for causal time evolutions. We present the main ideas of QTP and show how it relates to the CTP formalism, allowing one to express concepts of measurement theory in terms of path-integrals. We also present many links of our program to non-equilibrium quantum field theories. Details can be found in a recent paper by the authors (arxiv:2208.03696).