# Effect of acceleration on localized fermionic Gaussian states: from vacuum entanglement to maximally entangled states

## TL;DR

This paper explores how acceleration affects fermionic Gaussian states, revealing that vacuum entanglement increases with acceleration while Bell state entanglement decreases, with implications for localized quantum modes.

## Contribution

It develops a fermionic quantum channel framework to analyze the impact of acceleration on localized fermionic Gaussian states and their entanglement properties.

## Key findings

- Vacuum entanglement increases with acceleration.
- Bell state entanglement decreases with acceleration.
- Framework for fermionic quantum channels established.

## Abstract

We study the effects of acceleration on fermionic Gaussian states of localized modes of a Dirac field. We consider two wave-packets in a Gaussian state and transform these to an accelerated frame of reference. In particular, we formulate the action of this transformation as a fermionic quantum channel. Having developed the general framework for fermions, we then investigate the entanglement of the vacuum, as well as the entanglement in Bell states. We find that with increasing acceleration vacuum entanglement increases, while the entanglement of Bell states decreases. Notably, our results have an immediate operational meaning given the localization of the modes.