Teleportation capability, distillability, and nonlocality on three-qubit states

Abstract

In this paper, we consider teleportation capability, distillability, and nonlocality on three-qubit states. In order to investigate some relations among them, we first find the explicit formulas of the quantities about the maximal teleportation fidelity on three-qubit states. We show that if any three-qubit state is useful for three-qubit teleportation then the three-qubit state is distillable into a Greenberger-Horne-Zeilinger state, and that if any three-qubit state violates a specific form of Mermin inequality then the three-qubit state is useful for three-qubit teleportation.

5 pages, 2 figures; The old version has been generalized into the results on general 3-qubit states

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Cited by in corpus (12)

• The black-hole/qubit correspondence: an up-to-date review
• Nonlocality and entanglement in qubit systems
• Gisin's Theorem for Arbitrary Dimensional Multipartite States
• Minimal control power of the controlled teleportation
• Generalization of port-based teleportation and controlled teleportation capability
• Perfect many-to-one teleportation with stabilizer states
• Any multipartite entangled state violating Mermin-Klyshko inequality can be distilled for almost all bipartite splits
• Genuine Secret-Sharing States
• Multipartite bound entanglement and multi-setting Bell inequalities
• Investigating controlled teleportation capability of quantum states with respect to $k$-separability
• Conditional steering under von-Neumann scenario
• The CHSH-type inequalities for infinite-dimensional quantum systems