Print Email Facebook Twitter Entanglement-assisted guessing of complementary measurement outcomes Title Entanglement-assisted guessing of complementary measurement outcomes Author Berta, M. Coles, P.J. Wehner, S.D.C. Faculty Electrical Engineering, Mathematics and Computer Science Department Intelligent Systems Date 2014-12-22 Abstract Heisenberg's uncertainty principle implies that if one party (Alice) prepares a system and randomly measures one of two incompatible observables, then another party (Bob) cannot perfectly predict the measurement outcomes. This implication assumes that Bob does not possess an additional system that is entangled to the measured one; indeed, the seminal paper of Einstein, Podolsky, and Rosen (EPR) showed that maximal entanglement allows Bob to perfectly win this guessing game. Although not in contradiction, the observations made by EPR and Heisenberg illustrate two extreme cases of the interplay between entanglement and uncertainty. On the one hand, no entanglement means that Bob's predictions must display some uncertainty. Yet on the other hand, maximal entanglement means that there is no more uncertainty at all. Here we follow an operational approach and give an exact relation—an equality—between the amount of uncertainty as measured by the guessing probability and the amount of entanglement as measured by the recoverable entanglement fidelity. From this equality, we deduce a simple criterion for witnessing bipartite entanglement and an entanglement monogamy equality. To reference this document use: http://resolver.tudelft.nl/uuid:29ac7b63-26e5-4f8b-8f64-99425eb7a542 DOI https://doi.org/10.1103/PhysRevA.90.062127 Publisher American Physical Society ISSN 1050-2947 Source http://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.062127 Source Physical Review A, 90 (6), 2014 Part of collection Institutional Repository Document type journal article Rights © 2014 American Physical Society Files PDF Wehner_2014.pdf 220.93 KB Close viewer /islandora/object/uuid:29ac7b63-26e5-4f8b-8f64-99425eb7a542/datastream/OBJ/view