Atul Kumar, Satyabrata Adhikari, Subhashish Banerjee, Sovik Roy
We propose a three-qubit partially entangled set of states as a shared resource for optimal and faithful quantum information processing. We show that our states always violate the Svetlichny inequality, which is a Bell type inequality whose violation is a sufficient condition for the confirmation of genuine three-qubit nonlocality. Although, our states can be physically realized from the generalized Greenberger-Horne-Zeilinger (GGHZ) states using a simple quantum circuit, the non-local properties of the set are quite different from the generalized GHZ states but are similar to the maximal slice states (MS); even though our states are not locally equivalent to the MS states. Unlike other two and three-qubit partially entangled states, quantum teleportation using our states results in faithful transmission of information with unit probability and unit fidelity by performing only standard measurements for the sender, controller and receiver. We further demonstrate that dense coding also leads to the deterministic transfer of maximum number of bits from the sender to the receiver. We also introduce witness operators able to experimentally detect the family of states introduced. This work highlights the importance of both the local as well as non-local aspects of quantum correlations in multi-qubit systems.
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http://arxiv.org/abs/1211.5927
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