TY - JOUR

T1 - Minimal control power of the controlled teleportation

AU - Jeong, Kabgyun

AU - Kim, Jaewan

AU - Lee, Soojoon

N1 - Publisher Copyright:
© 2016 American Physical Society.

PY - 2016/3/21

Y1 - 2016/3/21

N2 - 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 90, 052305 (2014)PLRAAN1050-294710.1103/PhysRevA.90.052305], 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.

AB - 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 90, 052305 (2014)PLRAAN1050-294710.1103/PhysRevA.90.052305], 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.

UR - http://www.scopus.com/inward/record.url?scp=84961695477&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.93.032328

DO - 10.1103/PhysRevA.93.032328

M3 - Article

AN - SCOPUS:84961695477

SN - 2469-9926

VL - 93

JO - Physical Review A

JF - Physical Review A

IS - 3

M1 - 032328

ER -