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arXiv · 1607.08187

Operational criterion for controlled dense coding with non-trivial tripartite entangled states

Sovik Roy·Biplab Ghosh·Md. Manirul Ali
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Abstract

In this paper, we provide an operational criterion for controlled dense coding 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 $GHZ$-class then such non-trivial tripartite states are useful in {\it controlled dense coding} whereas states belonging to $W$-class are not useful for that. We start with a particular class of non-trivial partially entangled states belonging to $GHZ$-class and show that they are effective in controlled dense coding. Then we cite several other examples of different types of tripartite entangled states to support our conjecture.

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Sovik Roy, Biplab Ghosh, Md. Manirul Ali. 2016-07-27. Operational criterion for controlled dense coding with non-trivial tripartite entangled states. https://doi.org/10.1007/s12043-018-1630-1

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