  We discuss some applications of various versions of uncertainty relations for
both discrete and continuous variables in the context of quantum information
theory. The Heisenberg uncertainty relation enables demonstration of the EPR
paradox. Entropic uncertainty relations are used to reveal quantum steering for
non-Gaussian continuous variable states. Entropic uncertainty relations for
discrete variables are studied in the context of quantum memory where
fine-graining yields the optimum lower bound of uncertainty. The fine-grained
uncertainty relation is used to obtain connections between uncertainty and the
nonlocality of retrieval games for bipartite and tipartite systems. The
Robertson-Schrodinger uncertainty relation is applied for distinguishing pure
and mixed states of discrete variables.
