TY - JOUR
T1 - Operational criterion for controlled dense coding with non-trivial tripartite entangled states
AU - Roy, Sovik
AU - Ghosh, Biplab
AU - Ali, Md Manirul
N1 - Funding Information:
M M Ali acknowledges the support from the Ministry of Science and Technology of Taiwan and the Physics Division of National Center for Theoretical Sciences, Taiwan.
Publisher Copyright:
© 2018, Indian Academy of Sciences.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - In this paper, we provide an operational criterion for controlled dense coding (CDC) with a general class of three-qubit partially entangled states. A general three-qubit pure entangled state can be classified into two inequivalent classes according to their genuine tripartite entanglement. We claim that if a three-qubit state shows entanglement characteristic similar to Greenberger–Horne–Zeilinger (GHZ)-class, then such non-trivial tripartite states are useful in CDC whereas states belonging to the W-class are not useful for that. We start with a particular class of non-trivial partially entangled states belonging to the GHZ-class and show that they are effective in CDC. Then we cite several other examples of different types of tripartite entangled states to support our conjecture.
AB - In this paper, we provide an operational criterion for controlled dense coding (CDC) with a general class of three-qubit partially entangled states. A general three-qubit pure entangled state can be classified into two inequivalent classes according to their genuine tripartite entanglement. We claim that if a three-qubit state shows entanglement characteristic similar to Greenberger–Horne–Zeilinger (GHZ)-class, then such non-trivial tripartite states are useful in CDC whereas states belonging to the W-class are not useful for that. We start with a particular class of non-trivial partially entangled states belonging to the GHZ-class and show that they are effective in CDC. Then we cite several other examples of different types of tripartite entangled states to support our conjecture.
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U2 - 10.1007/s12043-018-1630-1
DO - 10.1007/s12043-018-1630-1
M3 - Article
AN - SCOPUS:85051656146
SN - 0304-4289
VL - 91
JO - Pramana - Journal of Physics
JF - Pramana - Journal of Physics
IS - 4
M1 - 50
ER -