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Einstein, Podolsky and Rosen (EPR) pointed out that the quantum-mechanical description of "physical reality" implied an unphysical, instantaneous action between distant measurements. To avoid such an action at a distance, EPR concluded that…

Quantum Physics · Physics 2009-11-07 Daniele Tommasini

Recently quantum nonlocality has been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen steering, and Bell's nonlocality. Among which, Bell's nonlocality is the strongest type. Bell's nonlocality for…

Quantum Physics · Physics 2016-11-11 Jing-Ling Chen , Changliang Ren , Changbo Chen , Xiang-Jun Ye , Arun Kumar Pati

We propose a sufficient criterion ${S}=\lambda_1+\lambda_2-(\lambda_1-\lambda_2)^2<0$ to detect Einstein-Podolsky-Rosen steering for arbitrary two-qubit density matrix $\rho_{AB}$. Here $\lambda_1,\lambda_2$ are respectively the minimal and…

Quantum Physics · Physics 2012-01-31 Jing-Ling Chen , Hong-Yi Su , Xiang-Jun Ye , Chunfeng Wu , C. H. Oh

The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not…

Quantum Physics · Physics 2018-11-13 Ana C. S. Costa , Roope Uola , Otfried Gühne

Spatial entanglement is at the heart of quantum enhanced imaging applications and high-dimensional quantum information protocols. In particular, for imaging and sensing applications, quantum states with a macroscopic number of photons are…

Quantum Physics · Physics 2022-07-21 Ashok Kumar , Gaurav Nirala , Alberto M. Marino

The optimal state-independent lower bounds for the sum of variances or deviations of observables are of significance for the growing number of experiments that reach the uncertainty limited regime. We present a framework for computing the…

Quantum Physics · Physics 2021-11-02 Lin Zhang , Shunlong Luo , Shao-Ming Fei , Junde Wu

Based on the relative entropy, we give a unified characterization of quantum correlations for nonlocality, steerability, discord and entanglement for any bipartite quantum states. For two-qubit states we show that the quantities obtained…

Quantum Physics · Physics 2017-04-14 Tinggui Zhang , Hong Yang , Xianqing Li-Jost , Shao-Ming Fei

In the Einstein--Podolsky--Rosen experiment, when Alice makes a measurement on her part of a bipartite system, Bob's part is collapsed to, or steered to, a specific ensemble. Moreover, by reading her measurement outcome, Alice can specify…

Quantum Physics · Physics 2017-04-17 H. Chau Nguyen , Kimmo Luoma

An inseparability criterion based on the total variance of a pair of Einstein-Podolsky-Rosen type operators is proposed for continuous variable systems. The criterion provides a sufficient condition for entanglement of any two-party…

Quantum Physics · Physics 2009-10-31 Lu-Ming Duan , G. Giedke , J. I. Cirac , P. Zoller

There are possible physical theories that give greater violations of Bell's inequalities than the corresponding Tsirelson bound, termed post-quantum non-locality. Such theories do not violate special relativity, but could give an advantage…

Quantum Physics · Physics 2026-01-08 Ana Belén Sainz , Paul Skrzypczyk , Matty J. Hoban

In a recent work [Phys. Rev. Lett. {\bf 98}, 140402 (2007)] we defined ``steering'', a type of quantum nonlocality that is logically distinct from both nonseparability and Bell-nonlocality. In the bipartite setting, it hinges on the…

Quantum Physics · Physics 2007-11-29 S. J. Jones , H. M. Wiseman , A. C. Doherty

Steering is the entanglement-based quantum effect that embodies the "spooky action at a distance" disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary and sufficient characterization of…

Quantum Physics · Physics 2015-03-05 Marco Piani , John Watrous

We propose experiments on quantum entanglement for investigating the Einstein Podolsky Rosen (EPR) problem with the polarization directions of photons. These experiments are performed to investigate whether the defined polarization…

Quantum Physics · Physics 2009-05-14 Masanori Sato

Einstein-Podolsky-Rosen steering is a form of quantum nonlocality which is weaker than Bell nonlocality, but stronger than entanglement. Here we present a method to check Einstein-Podolsky-Rosen steering in the scenario where the steering…

Quantum Physics · Physics 2018-02-21 Debarshi Das , Shounak Datta , C. Jebaratnam , A. S. Majumdar

This paper reviews the progress that has been made in our knowledge of quantum correlations at the mesoscopic and macroscopic level. We begin by summarizing the Einstein-Podolsky-Rosen (EPR) argument and the Bell correlations that cannot be…

Quantum Physics · Physics 2023-08-16 Run Yan Teh , Laura Rosales-Zárate , Peter D. Drummond , M. D. Reid

We investigate whether paradigmatic measurements for quantum state tomography, namely mutually unbiased bases and symmetric informationally complete measurements, can be employed to certify quantum correlations. For this purpose, we…

We consistently formalize the probabilistic description of multipartite joint measurements performed on systems of any nature. This allows us: (1) to specify in probabilistic terms the difference between nonsignaling, the Einstein-…

Quantum Physics · Physics 2010-12-20 Elena R. Loubenets

We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of relativistic quantum theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions…

Quantum Physics · Physics 2011-01-11 Hiroaki Terashima , Masahito Ueda

Temporal steering is a form of temporal correlation between the initial and final state of a quantum system. It is a temporal analogue of the famous Einstein-Podolsky-Rosen (spatial) steering. We demonstrate, by measuring the photon…

Quantum Physics · Physics 2016-12-13 Karol Bartkiewicz , Antonín Černoch , Karel Lemr , Adam Miranowicz , Franco Nori

Recent experimental measurements of atomic intensity correlations through atom shot noise suggest that atomic quadrature phase correlations may soon be measured with a similar precision. We propose a test of local realism with mesoscopic…

Other Condensed Matter · Physics 2009-11-10 K. V. Kheruntsyan , M. K. Olsen , P. D. Drummond