Genuine multipartite Einstein-Podolsky-Rosen steering.
We develop the concept of genuine N-partite Einstein-Podolsky-Rosen (EPR) steering. This nonlocality is the natural multipartite extension of the original EPR paradox. Useful properties emerge that are not guaranteed for genuine multipartite entangled states. In particular, there is a close link with the task of one-sided, device-independent quantum secret sharing. We derive inequalities to demonstrate multipartite EPR steering for Greenberger-Horne-Zeilinger and Gaussian continuous variable states in loophole-free scenarios.
Centre for Quantum Atom Optics, Swinburne University of Technology, Melbourne, 3122 Australia and State Key Laboratory of Mesoscopic Physics, School of Physics, Peking University, Beijing 100871 China.
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Centre for Quantum Atom Optics, Swinburne University of Technology, Melbourne, 3122 Australia.
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