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Quantum teleportation in terms of Dirac modes between accelerated observers

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arxiv 1907.12445 v1 pith:X7VXQNYO submitted 2019-07-29 quant-ph gr-qc

Quantum teleportation in terms of Dirac modes between accelerated observers

classification quant-ph gr-qc
keywords ranglefracdiracentanglementmodesobserversacceleratedaccelerations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $\frac{1}{2} + |\gamma|^2 |\delta|^2$.

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