Superactivation of quantum steering
Marco Túlio Quintino, Nicolas Brunner, Marcus Huber · Physical Review A · 2016
We consider Einstein-Podolsky-Rosen steering in the regime where the parties can perform collective measurements on many copies of a given shared entangled state. We derive a simple and efficient condition for guaranteeing that an entangled state is $k$-copy steerable. In particular, we show that any two-qubit and qubit-qutrit entangled state is $k$-copy steerable. This allows us to discuss the effect of superactivation of steering, whereby an entangled state that is unsteerable (i.e., admits a local hidden state model) in the one-copy regime becomes $k$-copy steerable. We provide examples with few copies and low dimensions. Our results give evidence that entanglement and steering could become equivalent in the multicopy regime.