# Quantum teleportation in terms of Dirac modes between accelerated observers

## TL;DR

This paper explores how entanglement and quantum teleportation fidelity between two accelerated observers' Dirac modes are affected by acceleration, revealing residual entanglement and fidelity limits even at infinite acceleration.

## Contribution

It provides a detailed analysis of entanglement degradation and teleportation fidelity for Dirac modes under acceleration, highlighting residual entanglement at infinite acceleration.

## Key findings

- Entanglement degrades with acceleration but remains nonzero at infinite acceleration.
- Teleportation fidelity depends on the input state and Bell state used.
- Average fidelity approaches 3/4 for certain Bell states at infinite acceleration.

## Abstract

We have studied entanglement between two Dirac modes respectively observed by two independently accelerated observers. Due to Unruh effect, the entanglement degrades, but residual nonzero entanglement remains even when the accelerations of both observers are infinite. We have also investigated quantum teleportation using entangled Dirac modes, and calculated the fidelities in various cases. In general, the fidelity depends on the single-qubit state $\gamma|0\rangle +\delta|1\rangle$ to be teleported, as well as which Bell state to use. In the limit that both accelerations are infinite, the average fidelity in using $|\phi^\pm\rangle\equiv\frac{1}{2}(|00\rangle\pm |11\rangle) $ is $\frac{3}{4}$, while that in using $|\psi^\pm\rangle\equiv \frac{1}{2} (|01\rangle\pm |10\rangle) $ is $\frac{1}{2} + |\gamma|^2 |\delta|^2$.