  Bell nonlocality and steering are archetypal characteristics of quantum
mechanics that mark a significant departure from conventional classical
notions. They basically refer to the presence of quantum correlations between
separated systems which violate a nonlocal inequality, the violation otherwise
not possible if we restrict ourselves only to classical correlations. In view
of the importance of such unique correlations one may be interested to generate
more states exhibiting nonlocality starting from a few, a protocol which is
termed as broadcasting. However, in the present submission, we show using
universal Buzek-Hillary(BH) quantum cloning machine that, if one restricts to
broadcasting through local quantum cloning, then such nonlocality cannot be
broadcasted. Our study is done in the purview of the Bell-CHSH inequality and
the CJWR (E.G.Cavalcanti,S.J. Jones,H.M Wiseman and M.D. Reid, Phys.Rev.A
80,032112(2009)) steering inequality. It is observed that when number of
measurement settings is greater than 6, some of the output states are steerable
after the application of local optimal B-H cloners. We find that, under some
restrictions, if the Werner and Bell diagonal states are subjected to such
procedures, then the resultant state is rendered unsteerable. We extend this
study to three qubit systems and find that genuine tripartite nonlocality
cannot be broadcasted using universal BH local quantum cloners, when we
consider the Svetlichny's inequality. For two qubit systems, we have considered
$10^5$ simulated general local unitaries over Werner and Bell-diagonal states
and find that for none of these states broadcasting on nonlocality and
3-steerability is possible.
