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We report on a momentum-position realization of the EPR paradox using direct detection in the near and far fields of the photons emitted by collinear type-II phase-matched parametric downconversion. Using this approach we achieved a…

Quantum Physics · Physics 2007-05-23 John C. Howell , Ryan S. Bennink , Sean J. Bentley , R. W. Boyd

We investigate the Einstein-Podolsky-Rosen (EPR) steering and its criticality in quantum phase transition. It is found that the EPR steerability function of the ground state of XY spin chain exhibits nonanalytic feature in the vicinity of a…

Quantum Physics · Physics 2012-01-31 Chunfeng Wu , Jing-Ling Chen , Dong-Ling Deng , Hong-Yi Su , X. X. Yi , C. H. Oh

Spatially entangled twin photons provide both promising resources for modern quantum information protocols, because of the high dimensionality of transverse entanglement, and a test of the Einstein-Podolsky-Rosen(EPR) paradox in its…

Quantum Physics · Physics 2014-11-25 Paul-Antoine Moreau , Fabrice Devaux , Eric Lantz

Einstein-Podolsky-Rosen (EPR) steering exhibits an inherent asymmetric feature that differs from both entanglement and Bell nonlocality, which leads to one-way EPR steering. Although this one-way EPR steering phenomenon has been…

Quantum Physics · Physics 2017-06-21 Zhongzhong Qin , Xiaowei Deng , Caixing Tian , Meihong Wang , Xiaolong Su , Changde Xie , Kunchi Peng

We consider the uncertainty bound on the sum of variances of two incompatible observables in order to derive a corresponding steering inequality. Our steering criterion when applied to discrete variables yields the optimum steering range…

Quantum Physics · Physics 2017-11-21 Ananda G. Maity , Shounak Datta , A. S. Majumdar

Einstein-Podolsky-Rosen (EPR) steering describes how different ensembles of quantum states can be remotely prepared by measuring one particle of an entangled pair. Here, we investigate quantum steering for single quantum d-dimensional…

Quantum Physics · Physics 2015-12-10 Che-Ming Li , Yueh-Nan Chen , Neill Lambert , Ching-Yi Chiu , Franco Nori

We consider the generation of randomness based upon the observed violation of an Einstein-Podolsky-Rosen (EPR) steering inequality, known as one-sided device-independent randomness expansion. We show that in the simplest scenario --…

Quantum Physics · Physics 2018-07-04 Paul Skrzypczyk , Daniel Cavalcanti

Due to practical reasons, experimental and theoretical continuous-variable (CV) quantum information (QI) has been heavily based on Gaussian states. Nevertheless, many CV-QI protocols require the use of non-Gaussian states and operations.…

Quantum Physics · Physics 2015-01-13 E. S. Gómez , G. Cañas , E. Acuña , W. A. T. Nogueira , G. Lima

We consider two systems A and B that share Einstein-Podolsky-Rosen (EPR) steering correlations and study how these correlations will decay, when each of the systems are independently coupled to a reservoir. EPR steering is a directional…

Quantum Physics · Physics 2015-08-27 L. Rosales-Zárate , R. Y. Teh , S. Kiesewetter , A. Brolis , K. Ng , M. D. Reid

We show that quantum mechanics predicts an Einstein-Podolsky-Rosen paradox (EPR), and also a contradiction with local hidden variable theories, for photon number measurements which have limited resolving power, to the point of imposing an…

Quantum Physics · Physics 2007-05-23 M. D. Reid

A single photon incident on a beam splitter produces an entangled field state, and in principle could be used to violate a Bell-inequality, but such an experiment (without post-selection) is beyond the reach of current experiments. Here we…

Quantum Physics · Physics 2011-07-19 S. J. Jones , H. M. Wiseman

Spontaneous parametric down-conversion is the primary source of position-correlated and momentum-anticorrelated photon pairs that form the canonical Einstein-Podolsky-Rosen (EPR) state. Their transverse spatial correlations are usually…

Quantum Physics · Physics 2025-12-16 Christian Howard , Roohollah Ghobadi , Nazanin Dehghan , Alessio D'Errico , Ebrahim Karimi

Schr\"odinger held that a local quantum system has some objectively real quantum state and no other (hidden) properties. He therefore took the Einstein-Podolsky-Rosen (EPR) phenomenon, which he generalized and called `steering', to require…

Monogamy inequalities for the way bipartite EPR steering can be distributed among N systems are derived. One set of inequalities is based on witnesses with two measurement settings, and may be used to demonstrate correlation of outcomes…

Quantum Physics · Physics 2014-02-21 M. D. Reid

Spatially entangled twin photons provide a test of the Einstein-Podolsky-Rosen (EPR) paradox in its original form of position (image plane) versus impulsion (Fourier plane). We show that recording a single pair of images in each plane is…

Quantum Physics · Physics 2015-10-28 Eric Lantz , Séverine Denis , Paul-Antoine Moreau , Fabrice Devaux

For the Abner Shimony (AS) inequalities, the simplest unified forms of directions attaining the maximum quantum violation are investigated. Based on these directions, a family of Einstein-Podolsky-Rosen (EPR) steering inequalities is…

Quantum Physics · Physics 2018-08-22 Jie Zhou , Hui-Xian Meng , Shu-Han Jiang , Zhen-Peng Xu , Changliang Ren , Hong-Yi Su , Jing-Ling Chen

Einstein-Rosen-Podolsky (EPR) steering or quantum steering describes the "spooky-action-at-a-distance" that one party is able to remotely alter the states of the other if they share a certain entangled state. Generally, it admits an…

Quantum Physics · Physics 2022-07-28 Yu Xiang , Shuming Cheng , Qihuang Gong , Zbigniew Ficek , Qiongyi He

Einstein-Podolsky-Rosen (EPR) steering is a type of quantum correlation which allows one to remotely prepare, or steer, the state of a distant quantum system. While EPR steering can be thought of as a purely spatial correlation there does…

Quantum Physics · Physics 2016-07-25 Shin-Liang Chen , Neill Lambert , Che-Ming Li , Adam Miranowicz , Yueh-Nan Chen , Franco Nori

We show how one can prepare and detect entanglement and Einstein-Podolsky-Rosen (EPR) steering between two distinguishable groups (modes) of atoms in a Bose-Einstein condensate (BEC) atom interferometer. Our paper extends previous work that…

Quantum Physics · Physics 2018-08-22 Laura Rosales-Zárate , Bryan J. Dalton , Margaret D. Reid

Einstein-Podolsky-Rosen (EPR) steering is a form of quantum correlation that exhibits a fundamental asymmetry in the properties of quantum systems. Given two observers, Alice and Bob, it is known to exist bipartite entangled states which…

Quantum Physics · Physics 2021-11-09 István Márton , Sándor Nagy , Erika Bene , Tamás Vértesi