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 (19)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• Quantum Mechanics helps in searching for a needle in a haystack
• Separability of Mixed States: Necessary and Sufficient Conditions
• Concentrating Partial Entanglement by Local Operations
• Entanglement of a Pair of Quantum Bits
• Efficient classical simulation of slightly entangled quantum computations
• Separability criterion and inseparable mixed states with positive partial transposition
• Fidelity and Concurrence of conjugated states
• Fidelity of Quantum Teleportation through Noisy Channels
• GHZ versus W : Quantum Teleportation through Noisy Channels
• An entanglement monotone derived from Grover's algorithm
• Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure
• Analytic Expressions for Geometric Measure of Three Qubit States
• The Groverian Measure of Entanglement for Mixed 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 (12)

• The maximally entangled symmetric state in terms of the geometric measure
• Quantum Teleportation through Noisy Channels with Multi-Qubit GHZ States
• Three-Tangle for Rank-3 Mixed States: mixture of Greenberger-Horne-Zeilinger, W and flipped W states
• Additivity and non-additivity of multipartite entanglement measures
• Does three-tangle properly quantify the three-party entanglement for Greenberger-Horne-Zeilinger-type states?
• Teleportation of the one-qubit state in decoherence environments
• Teleportation of the one-qubit state with environment-disturbed recovery operations
• Entanglement and teleportation via chaotic system
• Teleporting the one-qubit state via two-level atoms with spontaneous emission
• Toward an understanding of entanglement for generalized n-qubit W-states
• Three-Party Entanglement in Tripartite Teleportation Scheme through Noisy Channels
• Role of Three-Qubit Mixed-States Entanglement in Teleportation Scheme