Perfect discrimination of quantum measurements using entangled systems

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.

Automated summary

This research investigates the distinguishability of quantum measurements using two strategies, finding that quantum entanglement can provide an advantage in measurement discrimination. It is shown that any advantage in measurement discrimination tasks over single systems is a demonstration of Einstein-Podolsky-Rosen 'quantum steering'. Additionally, it is proven that all pure two-qubit entangled states provide an advantage in a measurement discrimination task over one-qubit systems.