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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

When two qubits A and B are in an appropriate state, Alice can remotely steer Bob's system B into different ensembles by making different measurements on A. This famous phenomenon is known as quantum steering, or Einstein-Podolsky-Rosen…

Quantum Physics · Physics 2016-07-28 H. Chau Nguyen , Thanh Vu

In a measurement-device-independent or quantum-refereed protocol, a referee can verify whether two parties share entanglement or Einstein-Podolsky-Rosen (EPR) steering without the need to trust either of the parties or their devices. The…

Quantum steering is one of the most intriguing phenomena in quantum mechanics and is essential for understanding correlations in multi-body systems. Despite its importance, analytical results for coupled three-body oscillators remain…

Quantum Physics · Physics 2026-01-06 Ayoub Ghaba , Radouan Hab Arrih , Elhoussine Atmani , Abdallah Slaoui

The study of stronger-than-quantum phenomena (i.e., postquantum) has enabled a deeper understanding of the scope of quantum theory. Much is known about the case of correlations in Bell scenarios, where the device-independent framework…

Quantum Physics · Physics 2026-04-09 Ana Belen Sainz

The verification of quantum devices is an important aspect of quantum information, especially with the emergence of more advanced experimental implementations of computation and secure communication. Within this, the theory of…

Quantum Physics · Physics 2016-07-08 Ivan Šupić , Matty J. Hoban

The strange property of the Einstein-Podolsky-Rosen (EPR) correlation between two remote physical systems is a primitive object on the study of quantum entanglement. In order to understand the entanglement in canonical continuous-variable…

Quantum Physics · Physics 2013-03-20 Ryo Namiki

Quantum steering has been exploited as an important resource in modern quantum information processing. Owing to its directional nature, some quantum states that are asymmetric under the exchange of parties have been found to manifest…

Quantum Physics · Physics 2022-09-12 Qiang Zeng

Following previous work, we distinguish between genuine $N$-partite entanglement and full $N$-partite inseparability. Accordingly, we derive criteria to detect genuine multipartite entanglement using continuous variable (position and…

Quantum Physics · Physics 2015-01-29 R. Y. Teh , M. D. Reid

Steering is one of the three in-equivalent forms of nonlocal correlations intermediate between Bell nonlocality and entanglement. Schrodinger-Robertson uncertainty relation (SRUR), has been widely used to detect entanglement and steering.…

Quantum Physics · Physics 2023-11-21 Laxmi Prasad Naik , Rakesh Mohan Das , Prasanta K. Panigrahi

We have explored quantum Einstein-Podolsky-Rosen steering in symmetric two-mode Gaussian states using Gaussian and non-Gaussian measurements. For Gaussian measurements, we show that steering between the output modes of a symmetric…

Quantum Physics · Physics 2022-10-06 Eugenia Benech , Adriana Auyuanet , Arturo Lezama

Quantum nonlocality is an essential nonlocality resource in quantum information. It has been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. In 1991, Gisin…

Quantum Physics · Physics 2025-12-29 Yu-Xuan Zhang , Jing-Ling Chen

We claim that the nonlocality without entanglement revealed quite recently by Bennett {\it et al.} [quant-ph/9804053] should be rather interpreted as {\it Einstein-Podolsky-Rosen paradox without entanglement}. It would be true nonlocality…

Quantum Physics · Physics 2009-10-31 Ryszard Horodecki , Michal Horodecki , Pawel Horodecki

Understanding how quantum resources can be quantified and distributed over many parties has profound applications in quantum communication. As one of the most intriguing features of quantum mechanics, Einstein-Podolsky-Rosen (EPR) steering…

Within the framework of relativistic quantum theory, we consider the Einstein-Podolsky-Rosen (EPR) gedanken-experiment in which measurements of the spin are performed by moving observers. We find that the perfect anti-correlation in the…

Quantum Physics · Physics 2007-05-23 Hiroaki Terashima , Masahito Ueda

In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous variable (CV) systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We…

Einstein-Podolski-Rosen steering is a form of quantum correlation exhibiting an intrinsic asymmetry between two entangled systems. In this paper, we propose a scheme for examining dynamical Gaussian quantum steering of two mixed mechanical…

Quantum Physics · Physics 2018-06-28 Jamal El Qars , Mohammed Daoud , Rachid Ahl Laamara

Einstein-Podolsky-Rosen (EPR) steering is one of the most intriguing features of quantum mechanics and an important resource for quantum communication. For practical applications, it remains a challenge to protect EPR steering from…

Quantum Physics · Physics 2022-05-27 Yang Liu , Kaimin Zheng , Haijun Kang , Dongmei Han , Meihong Wang , Lijian Zhang , Xiaolong Su , Kunchi Peng

A key resource for distributed quantum-enhanced protocols is entanglement between spatially separated modes. Yet, the robust generation and detection of nonlocal entanglement between spatially separated regions of an ultracold atomic system…

The distinctive non-classical features of quantum physics were first discussed in the seminal paper by A. Einstein, B. Podolsky and N. Rosen (EPR) in 1935. In his immediate response E. Schr\"odinger introduced the notion of entanglement,…

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