  The impossibility of superluminal communication is a fundamental principle of
physics. Here we show that this principle underpins the performance of several
fundamental tasks in quantum information processing and quantum metrology. In
particular, we derive tight no-signaling bounds for probabilistic cloning and
super-replication that coincide with the corresponding optimal achievable
fidelities and rates known. In the context of quantum metrology, we derive the
Heisenberg limit from the no-signaling principle for certain scenarios
including reference frame alignment and maximum likelihood state estimation. We
elaborate on the equivalence of assymptotic phase-covariant cloning and phase
estimation for different figures of merit.
