Identifying the nonlocality of a multiparty quantum state is an important
task in quantum mechanics. Seevinck and Svetlichny [Phys. Rev. Lett. 89, 060401
(2002)], and independently, Collins and co-workers [Phys. Rev. Lett. 88, 170405
(2002)] have generalized the tripartite notion of Svetlichny nonlocality to
n-parties. Here we have developed a tight upper bound for genuine four party
Svetlichny type nonlocality. The constraints on the quantum states for the
tightness of the bound are also presented. The method enables us to provide
necessary and sufficient conditions for violating the four qubit Svetlichny
type inequality for several quantum states. The relations between the genuine
multipartite entanglement and the maximal quantum value of the Seevinck and
Svetlichny operators for pure four qubit states are also discussed.
Consequently, we have exhibited genuine four qubit hidden nonlocality under
local filtering. Our result provides an effective and operational method for
further study of multipartite quantum nonlocality.Comment: 10 pages, 2 figures, revtex, comments welcome. arXiv admin note: text
overlap with arXiv:quant-ph/0602143, arXiv:1710.01601 by other author