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We derive two types of sets of higher-order conditions for bipartite entanglement in terms of continuous variables. One corresponds to an extension of the well-known Duan inequalities from second to higher moments describing a kind of…

Quantum Physics · Physics 2016-03-23 E. Shchukin , P. van Loock

We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations, along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering…

Quantum Physics · Physics 2014-03-04 James Schneeloch , Curtis J. Broadbent , John C. Howell

Evidence for Bell's nonlocality is so far mainly restricted to microscopic systems, where the elements of reality that are negated predetermine results of measurements to within one spin unit. Any observed nonlocal effect (or lack of…

Quantum Physics · Physics 2024-12-13 M. D. Reid , Q. Y. He

We propose an efficient approach to prepare Einstein-Podolsky-Rosen (EPR) pairs in currently existing Josephson nanocircuits with capacitive couplings. In these fixed coupling circuits, two-qubit logic gates could be easily implemented…

Quantum Physics · Physics 2009-11-11 L. F. Wei , Yu-xi Liu , Markus J. Storcz , Franco Nori

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

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 1935, Einstein, Podolsky and Rosen (EPR) questioned the completeness of quantum mechanics by devising a quantum state of two massive particles with maximally correlated space and momentum coordinates. The EPR criterion qualifies such…

Quantum Physics · Physics 2015-11-30 J. Peise , I. Kruse , K. Lange , B. Lücke , L. Pezzè , J. Arlt , W. Ertmer , K. Hammerer , L. Santos , A. Smerzi , C. Klempt

A scheme of quantum authentication is presented. Two parties share Einstein-Podolsky-Rosen (EPR) pairs previously as the authentication key which servers as encoder and decoder. The authentication is accomplished with local controlled-NOT…

Quantum Physics · Physics 2007-05-23 Yong-Sheng Zhang , Chuan-Feng Li , Guang-Can Guo

We investigate under which conditions quantum nonlocal manifestations as Einstein-Podolsky-Rosen steering or Bell nonlocality can manifest themselves even at the macroscopic level of two mechanical resonators in optomechanical systems. We…

Quantum Physics · Physics 2017-12-12 Jie Li , Shi-Yao Zhu

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

Quantum correlations between two parties are essential for the argument of Einstein, Podolsky, and Rosen in favour of the incompleteness of quantum mechanics. Schr\"odinger noted that an essential point is the fact that one party can…

Quantum Physics · Physics 2020-03-25 Roope Uola , Ana C. S. Costa , H. Chau Nguyen , Otfried Gühne

We demonstrate here that for a given mixed multi-qubit state if there are at least two observers for whom mutual Einstein-Podolsky-Rosen steering is possible, i.e. each observer is able to steer the other qubits into two different pure…

Relativistic bipartite entangled quantum states is studied to show that Nature doesn't favor nonlocality for massive particles in the ultra-relativistic limit. We found that to an observer (Bob) in a moving frame S', the entangled Bell…

Quantum Physics · Physics 2007-05-23 Doyeol Ahn , Hyuk-jae Lee , Sung Woo Hwang

EPR-steering refers to the ability of one observer to convince a distant observer that they share entanglement by making local measurements. Determining which states allow a demonstration of EPR-steering remains an open problem in general.…

Quantum Physics · Physics 2020-02-26 Travis J. Baker , Howard M. Wiseman

Correlations in Einstein-Podolsky-Rosen (EPR) scenarios, captured by \textit{assemblages} of unnormalised quantum states, have recently caught the attention of the community, both from a foundational and an information-theoretic…

Quantum Physics · Physics 2025-01-15 Matty J. Hoban , Tom Drescher , Ana Belén Sainz

The Einstein-Podolsky-Rosen (EPR) paradox gives an argument for the incompleteness of quantum mechanics based on the premises of local realism. A general view is that the argument is compromised, because EPR's premises are falsified by…

Quantum Physics · Physics 2024-12-03 Jesse Fulton , Run Yan Teh , M. D. Reid

In 1935, Einstein, Podolsky and Rosen (EPR) considered two particles in an entangled state of motion to illustrate why they questioned the completeness of quantum theory. In the past decades, microscopic systems with entanglement in various…

Quantum Physics · Physics 2015-09-02 Roman Schnabel

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

The Einstein Podolsky Rosen (EPR) entangled quantum state is of special importance not only for fundamental research in quantum mechanics, but also for information processing in the field of quantum information. Previous EPR entangled state…

In this paper, a bidirectional quantum teleportation protocol based on Einstein-Podolsky-Rosen (EPR) pairs and entanglement swapping is proposed. In this scheme, two users can simultaneously transmit an unknown single-qubit state to each…

Quantum Physics · Physics 2014-11-04 Shima Hassanpour , Monireh Houshmand