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 states is k-copy steerable. This allows us to discuss the effect of super-activation 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 multi-copy regime.
@article{arxiv.1610.01037,
title = {Super-Activation of Quantum Steering},
author = {Marco Túlio Quintino and Marcus Huber and Nicolas Brunner},
journal= {arXiv preprint arXiv:1610.01037},
year = {2017}
}