One-way Einstein-Podolsky-Rosen Steering

Abstract

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality exhibiting an inherent asymmetry between the observers, Alice and Bob. We present a simple class of entangled two-qubit states which are one-way steerable, considering arbitrary projective measurements. That is, Alice can steer the state of Bob, but it is impossible for Bob to steer Alice's state. This shows that the nonlocal properties of entangled states can be fundamentally asymmetrical.