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Kwek, Marek Zukowski, Xiang-Jun Ye, Yu-Chun Wu, Zhen-Peng Xu","submitted_at":"2014-04-10T02:33:09Z","abstract_excerpt":"We demonstrate here that for a given mixed multi-qubit state if there are at least two observers for whom mutual Einstein-Podolsky-Rosen steering is possible, i.e. each observer is able to steer the other qubits into two different pure states by spontaneous collapses due to von Neumann type measurements on his/her qubit, then nonexistence of local realistic models is fully equivalent to quantum entanglement (this is not so without this condition). This result leads to an enhanced version of Gisin's theorem (originally: all pure entangled states violate local realism). 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