Mixed-State Entanglement and Quantum Teleportation through Noisy Channels

Details Mixed-State Entanglement and Quantum Teleportation through Noisy Channels Mixed-State Entanglement and Quantum Teleportation through Noisy Channels

2008-04-29

arxiv.org/abs/0804.4595v1

J. Phys. A : Mathematical and Theoretical 41 (2008) 385302

Physics

Quantum Physics

18 pages, 4 figures

Scientific paper

10.1088/1751-8113/41/38/385302

The quantum teleportation with noisy EPR state is discussed. Using an optimal decomposition technique, we compute the concurrence, entanglement of formation and Groverian measure for various noisy EPR resources. It is shown analytically that all entanglement measures reduce to zero when $\bar{F} \leq 2/3$, where $\bar{F}$ is an average fidelity between Alice and Bob. This fact indicates that the entanglement is a genuine physical resource for the teleportation process. This fact gives valuable clues on the optimal decomposition for higher-qubit mixed states. As an example, the optimal decompositions for the three-qubit mixed states are discussed by adopting a teleportation with W-state

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