Relations between entanglement, Bell-inequality violation and teleportation fidelity for the two-qubit X states

Relations between entanglement, Bell-inequality violation and teleportation fidelity for the... Based on the assumption that the receiver Bob can apply any unitary transformation, Horodecki et al. (Phys Lett A 222:21–25, 1996) proved that any mixed two spin-1/2 state which violates the Bell-CHSH inequality is useful for teleportation. Here, we further show that any X state which violates the Bell-CHSH inequality can also be used for nonclassical teleportation even if Bob can only perform the identity or the Pauli rotation operations. Moreover, we showed that the maximal difference between the two average fidelities achievable via Bob’s arbitrary transformations and via the sole identity or the Pauli rotation is 1/9. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Relations between entanglement, Bell-inequality violation and teleportation fidelity for the two-qubit X states

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Science+Business Media, LLC
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-012-0371-1
Publisher site
See Article on Publisher Site

Abstract

Based on the assumption that the receiver Bob can apply any unitary transformation, Horodecki et al. (Phys Lett A 222:21–25, 1996) proved that any mixed two spin-1/2 state which violates the Bell-CHSH inequality is useful for teleportation. Here, we further show that any X state which violates the Bell-CHSH inequality can also be used for nonclassical teleportation even if Bob can only perform the identity or the Pauli rotation operations. Moreover, we showed that the maximal difference between the two average fidelities achievable via Bob’s arbitrary transformations and via the sole identity or the Pauli rotation is 1/9.

Journal

Quantum Information ProcessingSpringer Journals

Published: Feb 9, 2012

References

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