Nagy Sándor, Vértesi Tamás
Department of Theoretical Physics, University of Debrecen, H-4010 Debrecen, P.O. Box 5, Hungary.
Institute for Nuclear Research, Hungarian Academy of Sciences, H-4001 Debrecen, P.O. Box 51, Hungary.
Sci Rep. 2016 Feb 16;6:21634. doi: 10.1038/srep21634.
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.
在本文中,我们研究了由二分量子系统产生的爱因斯坦 - 波多尔斯基 - 罗森(EPR)导引关联的再现通信成本。我们刻画了二分量子态的集合,该集合允许一个局部隐态模型,此模型通过从不信任方(爱丽丝)到信任方(鲍勃)的c比特经典通信进行增强。在有1比特信息(c = 1)的情况下,我们表明这个集合与允许局部隐态以及用于投影测量的局部隐变量模型的集合有非平凡交集。另一方面,我们发现从不信任的爱丽丝到信任的鲍勃需要无限量的经典通信来模拟由两比特最大纠缠态产生的EPR导引关联。据推测,一个先进的量子实验将能够以这种方式证伪两比特通信。