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We have studied entanglement between two Dirac modes respectively observed bytwo independently accelerated observers. Due to Unruh effect, the entanglementdegrades, but residual nonzero entanglement remains even when the accelerationsof both observers are infinite. We have also investigated quantum teleportationusing entangled Dirac modes, and calculated the fidelities in various cases. Ingeneral, 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 thelimit 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 $\frac{1}{2} + |\gamma|^2 |\delta|^2$.

Quantum teleportation in terms of Dirac modes between accelerated observers