Unruh effect as a noisy quantum channel

TL;DR

This paper interprets the Unruh effect as a noisy quantum channel affecting entanglement in Rindler spacetime, providing analytical and numerical insights into nonlocal correlations and entropy exchange.

Contribution

It introduces a novel interpretation of the Unruh effect as a quantum channel and derives analytical expressions for entanglement fidelity and entropy properties.

Findings

Entanglement fidelity derived analytically matches numerical results.

Non-zero entropy exchange indicates nonlocal correlations.

Numerical evidence supports subadditivity of entropies.

Abstract

We studied the change of the nonlocal correlation of the entanglement in Rindler spacetime by showing that the Unruh effect can be interpreted as a noisy quantum channel having a complete positive and trace preserving map with an operator sum representation. It is shown that the entanglement fidelity is obtained in analytic form from the operator sum representation, which agrees well numerically with the entanglement monotone and the entanglement measure obtained previously. Non-zero entropy exchange between the system Q and the region II of the Rindler wedge indicates the nonlocal correlation between casually disconnected regions. We have also shown the sub additivity of entropies numerically.