  Distinguishing physical processes is one of the fundamental problems in
quantum physics. Although distinguishability of quantum preparations and
quantum channels have been studied considerably, distinguishability of quantum
measurements remains largely unexplored. We investigate the problem of
single-shot discrimination of quantum measurements using two strategies, one
based on single quantum systems and the other one based on entangled quantum
systems. First, we formally define both scenarios. We then construct sets of
measurements (including non-projective) in arbitrary finite dimensions that are
perfectly distinguishable within the second scenario using quantum
entanglement, while not in the one based on single quantum systems.
Furthermore, we show that any advantage in measurement discrimination tasks
over single systems is a demonstration of Einstein-Podolsky-Rosen 'quantum
steering'. Alongside, we prove that all pure two-qubit entangled states provide
an advantage in a measurement discrimination task over one-qubit systems.
