  We present here a scheme that relates seemingly two different kinds of
physical impossibilities of quantum information processing. We derive, exact
flipping of three arbitrary states not lying in one great circle is not
possible with certainty, by using the existence of incomparable states which
are not interconvertible deterministically by local operations and classical
communications. In contrast, considering the non-existence of exact universal
flipper, the incomparability of a pair of bipartite pure entangled states can
be established.
