title: EPR Steering inequalities with Communication Assistance.
abstract: In this paper, we investigate the communication cost of reproducing Einstein-Podolsky-Rosen (EPR) steering correlations arising from bipartite quantum systems. We characterize the set of bipartite quantum states which admits a local hidden state model augmented with c bits of classical communication from an untrusted party (Alice) to a trusted party (Bob). In case of one bit of information (c = 1), we show that this set has a nontrivial intersection with the sets admitting a local hidden state and a local hidden variables model for projective measurements. On the other hand, we find that an infinite amount of classical communication is required from an untrusted Alice to a trusted Bob to simulate the EPR steering correlations produced by a two-qubit maximally entangled state. It is conjectured that a state-of-the-art quantum experiment would be able to falsify two bits of communication this way.
authors.affiliation: Department of Theoretical Physics, University of Debrecen, H-4010 Debrecen, P.O. Box 5, Hungary.
authors.forename: Sándor
authors.initials: S
authors.lastname: Nagy
authors.affiliation: Institute for Nuclear Research, Hungarian Academy of Sciences, H-4001 Debrecen, P.O. Box 51, Hungary.
authors.forename: Tamás
authors.initials: T
authors.lastname: Vértesi
mesh_terms: D007257:Information Theory; D055641:Mathematical Concepts; D008962:Models, Theoretical; D011789:Quantum Theory