Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories,among which the Einstein-Podolsky-Rosen(EPR)steering paradox offers a sharper criterion for the contradiction between local-hidden-state model and quantum mechanics than the usual inequality-based method.In this work,we present a generalized EPR steering paradox,which predicts a contradictory equality"2Q=(1+δ)c"(0 ≤ δ＜1)given by the quantum(Q)and classical(C)theories.For any N-qubit state in which the conditional state of the steered party is pure,we test the paradox through a two-setting steering protocol,and find that the state is steerable if some specific measurement requirements are satisfied.Moreover,our construction also enlightens the building of EPR steering inequality,which may contribute to some schemes for typical quantum teleportation and quantum key distributions.
EPR steeringsteering paradoxquantum entangled states
刘志洁、樊星言、周洁、谢汨、陈景灵
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Theoretical Physics Division,Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300071,China
College of Physics and Materials Science,Tianjin Normal University,Tianjin 300382,China
Department of Physics,School of Science,Tianjin University,Tianjin 300072,China
EPR steering steering paradox quantum entangled states
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