4.6 Article

Perfect discrimination of quantum measurements using entangled systems

Journal

NEW JOURNAL OF PHYSICS
Volume 23, Issue 4, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/abecaf

Keywords

discrimination of quantum measurements; quantum steering; generalized quantum measurements

Funding

  1. Foundation for Polish Science under the 'Quantum Optical Technologies' project carried out within the International Research Agendas programme - European Union under the European Regional Development Fund
  2. Foundation for Polish Science (IRAP project, ICTQT) [2018/MAB/5]
  3. Foundation for Polish Science (EU within Smart Growth Operational Programme)
  4. Foundation for Polish Science [First TEAM/2017-4/31]

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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.
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.

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