报告题目：Mathematical defintions and characterizations of
Bell Nonlocality and EPR Steering
报 告 人：曹怀信(陕西师范大学教授)
摘要:Bell nonlocality and Einstein-Podolsky-Rosen (EPR) steering are very important quantum correlations of a composite quantum system. Bell nonlocality of a bipartite state is a kind of quantum correlations demonstrated by some local quantum measurements, while EPR steering is another form of quantum correlations, observed firstly by Schrödinger in the context of famous EPR paradox. In this talk, we introduce Bell nonlocality and EPR steering of bipartite states, including mathematical definitions and characterizations of these two quantum correlations, the convexity and compactness of the sets of all Bell local states and all EPR unsteerable states, respectively. We also derive some sufficient conditions for a state to be steerable, which imply that whenever Alice has two POV measurements such that the sets of Bob's normalized conditional states become two disjoint sets of pure states, or whenever she has one POV measurement such that Bob's normalized conditional states become a linearly independent set of pure states, Alice can steer Bob's state.