Nonperturbative approach to relativistic quantum communication channels

TL;DR

This paper develops a nonperturbative framework for analyzing relativistic quantum communication channels in curved spacetimes, allowing exact calculation of channel capacities without perturbative approximations.

Contribution

It introduces a nonperturbative method to model quantum communication via fields in curved spacetime, avoiding representation choices and enabling capacity calculations.

Findings

Exact channel capacities for classical and quantum communication are derived.

The approach applies to arbitrary quasifree states of the quantum field.

The method allows analysis of communication in general relativistic settings.

Abstract

We investigate the transmission of both classical and quantum information between two arbitrary observers in globally hyperbolic spacetimes using a quantum field as a communication channel. The field is supposed to be in some arbitrary quasifree state and no choice of representation of its canonical commutation relations is made. Both sender and receiver possess some localized two-level quantum system with which they can interact with the quantum field to prepare the input and receive the output of the channel, respectively. The interaction between the two-level systems and the quantum field is such that one can trace out the field degrees of freedom exactly and thus obtain the quantum channel in a nonperturbative way. We end the paper determining the unassisted as well as the entanglement-assisted classical and quantum channel capacities.