Minimal control power of the controlled teleportation

Abstract

We generalize the control power of a perfect controlled teleportation of an entangled three-qubit pure state, suggested by Li and Ghose [Phys. Rev. A {\bf 90}, 052305 (2014)], to the control power of a general controlled teleportation of a multiqubit pure state. Thus, we define the minimal control power, and calculate the values of the minimal control power for a class of general three-qubit Greenberger-Horne-Zeilinger (GHZ) states and the three-qubit W class whose states have zero three-tangles. Moreover, we show that the standard three-qubit GHZ state and the standard three-qubit W state have the maximal values of the minimal control power for the two classes, respectively. This means that the minimal control power can be interpreted as not only an operational quantity of a three-qubit quantum communication but also a degree of three-qubit entanglement. In addition, we calculate the values of the minimal control power for general n-qubit GHZ states and the n-qubit W-type states.

5 pages, No figures; Close to published version

References in corpus (5)

• Experimental quantum teleportation
• Control power in perfect controlled teleportation via partially entangled channels
• Generalized W-Class State and its Monogamy Relation
• Analysis of N-qubit perfectly controlled teleportation schemes from the controller's point of view
• Teleportation capability, distillability, and nonlocality on three-qubit states

Cited by in corpus (7)

• Generalization of port-based teleportation and controlled teleportation capability
• Analysis of control power in controlled remote state preparation schemes
• Tri-partite non-maximally entangled mixed states as a resource for optimum controlled quantum teleportation fidelity
• Minimal control power of controlled dense coding and genuine tripartite entanglement
• Port-based entanglement teleportation via noisy resource states
• Transmission losses in optical qubits for controlled teleportation
• Strength of the nonlocality of two-qubit entangled state and its applications