Abstract
In this paper, we aim to detecting Bell nonlocality based on the Hardy paradox. Firstly, motivated by the Hardy paradox, we derive some necessary conditions for a state to be Bell local and then obtain some sufficient conditions for discriminating Bell’s nonlocality; Secondly, we verify Bell nonlocality of any 2-qubit entangled pure state by the obtained sufficient conditions; Finally, we prove that any entangled pure state of a bipartite system can be projected as Bell nonlocal state.
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