  In this work, we extensively study the problem of broadcasting of quantum
correlations. This includes broadcasting of quantum entanglement as well as
correlations that go beyond the notion of entanglement. It is quite well known
from the "No-Broadcasting theorem" that perfect broadcasting of quantum
correlation is not possible. However it does not rule out the possibility of
partial broadcasting of correlations where we can get lesser correlated states
from a given correlated state. In order to have a holistic view of
broadcasting, we investigate this problem by starting with most general
representation of two qubit mixed states in terms of the Bloch vectors. As a
cloning transformation we have used universal symmetric optimal Buzek-Hillery
(B-H) cloner both locally and nonlocally. More specifically, we obtain a set of
ranges in terms of Bloch vectors for which broadcasting of entanglement will be
possible. In addition to the idea of broadcasting of entanglement for general
two qubit mixed states, we explore broadcasting of quantum correlations that go
beyond entanglement with the help of both local and nonlocal cloners.
Remarkably, we find that it is impossible to even partially broadcast such
correlations by using both local and nonlocal quantum copying machines. Taking
two different types Buzek-Hillery quantum cloners (state dependent and state
independent) we analytically prove the impossibility of even partial
broadcasting of correlation. Lastly, we generalize this impossibility result
for any symmetric or asymmetric cloning machines as well. This result brings
out a fundamental difference between the correlation defined from the
perspective of entanglement and the correlation measure which claims to go
beyond entanglement.
