Mixed-State Entanglement and Quantum Teleportation through Noisy Channels

Abstract

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 $\bar{F}\le 2/3$, 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

18 pages, 4 figures

References in corpus (5)

• GHZ versus W : Quantum Teleportation through Noisy Channels
• Analytic Expressions for Geometric Measure of Three Qubit States
• Reduced State Uniquely Defines Groverian Measure of Original Pure State
• Geometric Measure of Entanglement and Shared Quantum States
• Formation of Multipartite Entanglement Using Random Quantum Gates

Cited by in corpus (3)

• Three-Tangle for Rank-3 Mixed States: mixture of Greenberger-Horne-Zeilinger, W and flipped W states
• Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states?
• Role of Three-Qubit Mixed-States Entanglement in Teleportation Scheme