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We study various scaling behaviors of $n$-partite information during a process of
thermalization after a global quantum quench for $n$ disjoint system consisting of $n$ parallel strips whose
widths are much larger than the separation between them. By making use of the holographic description
for entanglement entropy we explore holographic description of the $n$-partite information by which
we show that it has a definite sign: it is positive for even $n$ and negative for odd $n$.
This might thought of as an intrinsic property of a field theory which has gravity dual.
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