Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Test to Demonstrate Genuine Three Particle Nonlocality   According to the studies of genuine tripartite nonlocality in discrete
variable quantum systems conducted so far, Svetlichny inequality is considered
as the best Bell-type inequality to detect genuine (three way) nonlocality of
pure tripartite genuine entangled states. In the present work, we have
considered another Bell-type inequality (which has been reported as the $99$-th
facet of $NS_2$ local polytope in (J.-D. Bancal, et.al.,Phys. Rev.A
\textbf{88}, 014102 (2013)), to reveal genuine tripartite nonlocality of
generalized GHZ(Greenberger-Horne-Zeilinger) class and a subclass of extended
GHZ class states(\cite{ACN}) thereby proving the conjecture given by Bancal,
et.al.\cite{BAL} for the GGHZ class and the subclass of extended GHZ states. We
compare the violation of this inequality with Svetlichny inequality which
reveals the efficiency of the former inequality over the latter to demonstrate
genuine nonlocality using the above classes of quantum states. Even in some
cases discord monogamy score can be used as a better measure of quantum
correlation over Svetlichny inequality for those classes of pure states.
Besides, the $99$-th facet inequality is found efficient not only for revealing
genuine nonlocal behavior of correlations emerging in systems using pure
entangled states but also in some cases of mixed entangled states over
Svetlichny inequality and some well known measures of entanglement .

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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ