Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements
Violation of Continuous-Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements
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DOI：
10.1103/physrevlett.110.130407
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发表时间：
2013-03-27
影响因子：
8.6
通讯作者：
Howell, John C.
中科院分区：
文献类型：
--
作者：
Schneeloch, James;Ben Dixon, P.;Howell, John C.
在这封信中，我们推导出一个熵Einstein-Podolsky-罗森（EPR）转向不等式的连续变量系统，只使用实验测量的离散概率分布和测量仪器的细节。我们使用这个不等式见证EPR转向之间的位置和动量的光子对产生的自发参量下转换。我们研究了这种不平等中各方之间的不对称性，并表明这种不对称性可以用来降低旨在证明EPR悖论的实验装置的技术要求。此外，我们开发了一个更严格的转向不等式，双方之间是对称的，并用它来表明，下转换的光子对也表现出对称的EPR转向。DOI：10.1103/PhysRevLett.110.130407
In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous-variable systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We use this inequality to witness EPR steering between the positions and momenta of photon pairs generated in spontaneous parametric down-conversion. We examine the asymmetry between parties in this inequality, and show that this asymmetry can be used to reduce the technical requirements of experimental setups intended to demonstrate the EPR paradox. Furthermore, we develop a more stringent steering inequality that is symmetric between parties, and use it to show that the down-converted photon pairs also exhibit symmetric EPR steering. DOI: 10.1103/PhysRevLett.110.130407