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We propose an EPR inequality based on an entropic uncertainty relation for complementary continuous variable observables. This inequality is more sensitive than the previously established EPR inequality based on inferred variances, and…

Quantum Physics · Physics 2009-07-27 S. P. Walborn , A. Salles , R. M. Gomes , F. Toscano , P. H. Souto Ribeiro

The Einstein-Podolsky-Rosen (EPR) pair of qubits plays a critical role in many quantum protocol applications such as quantum communication and quantum teleportation. Due to interaction with the environment, an EPR pair might lose its…

Quantum Physics · Physics 2017-01-25 Jia Wang , Xia-ji Liu , Hui Hu

Einstein, Podolsky & Rosen (EPR) pointed out that correlations induced between quantum objects will persist after these objects have ceased to interact. Consequently, their joint continuous variables (CV), e.g., the difference of their…

Quantum Physics · Physics 2011-04-05 Nir Bar-Gill , Christian Gross , Gershon Kurizki , Igor Mazets , Markus Oberthaler

It is shown that a criterion used to demonstrate realization of the 1935 Einstein-Podolsky-Rosen (EPR) gedanken experiment is sufficient to demonstrate quantum entanglement. A further set of measurable criteria sufficient to demonstrate EPR…

Quantum Physics · Physics 2016-09-08 M. D. Reid

We obtain criteria for entanglement and the EPR paradox for spin-entangled particles and analyse the effects of decoherence caused by absorption and state purity errors. For a two qubit photonic state, entanglement can occur for all…

Quantum Physics · Physics 2010-09-17 E. G. Cavalcanti , P. D. Drummond , H. A. Bachor , M. D. Reid

The Einstein-Podolsky-Rosen (EPR) paradox was enunciated in 1935 and since then it has made a lot of ink flow. Being a subtle result, it has also been largely misunderstood. Indeed, if questioned about its solution, many physicists will…

Quantum Physics · Physics 2019-02-08 Massimiliano Sassoli de Bianchi

Einstein-Podolsky-Rosen (EPR) steering demonstrates that two parties share entanglement even if the measurement devices of one party are untrusted. Here, going beyond this bipartite concept, we develop a novel formalism to explore a large…

Quantum Physics · Physics 2015-07-02 Che-Ming Li , Kai Chen , Yueh-Nan Chen , Qiang Zhang , Yu-Ao Chen , Jian-Wei Pan

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

Free electron beams and their quantum coupling with photons is attracting a rising interest due to the basic questions it addresses and the cutting-edge technology these particles are involved in, such as microscopy, spectroscopy, and…

General Physics · Physics 2024-05-01 Eitan Kazakevich , Hadar Aharon , Ofer Kfir

Entanglement, a key resource of emerging quantum technologies, describes correlations between particles that defy classical physics. It has been studied extensively on various platforms, but has remained elusive in electron microscopy.…

Quantum entanglement and Einstein-Podolsky-Rosen (EPR) steering are valuable resources in quantum information processing. How to enhance the quantum entanglement and EPR steering of coupled optomechanical systems with a weak squeezed vacuum…

Quantum Physics · Physics 2023-10-24 Shao-Xiong Wu , Cheng-Hua Bai , Gang Li , Chang-shui Yu , Tiancai Zhang

For quantum communication in a gravitational field, the properties of the Einstein-Podolsky-Rosen (EPR) correlation are studied within the framework of general relativity. Acceleration and gravity are shown to deteriorate the perfect…

Quantum Physics · Physics 2009-11-10 Hiroaki Terashima , Masahito Ueda

Einstein-Podolsky-Rosen (EPR) paradox highlights the absence of a local realistic explanation for quantum mechanics, and shows the incompatibility of the local-hidden-state models with quantum theory. For $N$-qubit states, or more…

Quantum Physics · Physics 2024-06-26 Zhi-Jie Liu , Jie Zhou , Hui-Xian Meng , Xing-Yan Fan , Mi Xie , Fu-lin Zhang , Jing-Ling Chen

Bell's theorem applies to the normalizable approximations of the original Einstein-Podolsky-Rosen (EPR) state. The constructions of the proof require measurements difficult to perform, and dichotomic observables. By noticing the fact that…

Quantum Physics · Physics 2015-03-12 Krzysztof Rosołek , Magdalena Stobińska , Marcin Wieśniak , Marek Żukowski

The original version of Einstein-Podolsky-Rosen (EPR) paradox is discussed to show the completeness of Quantum Mechanics (QM). The unique solution leads to the wave function of antiparticle unambiguously, which implies the essential…

Quantum Physics · Physics 2007-05-23 Guang-jiong Ni , Hong Guan

Quantum diagrams are the best language for Quantum Mechanics since they show not only a final result but also the physical process which leads to the result. The quantum correlation at a distance better known as the Einstein-Podolsky-Rosen…

General Physics · Physics 2017-01-03 S. V. Gantsevich

Einstein-Podolsky-Rosen (EPR) steering is a form of bipartite quantum correlation that is intermediate between entanglement and Bell nonlocality. It allows for entanglement certification when the measurements performed by one of the parties…

Quantum Physics · Physics 2014-05-12 Paul Skrzypczyk , Miguel Navascues , Daniel Cavalcanti

We consider a situation when evolution of an entangled Einstein-Podolsky-Rosen (EPR) pair takes place in a regime of quantum chaos being chaotic in the classical limit. This situation is studied on an example of chaotic pair dynamics…

Quantum Gases · Physics 2021-10-26 Klaus M. Frahm , Dima L. Shepelyansky

We experimentally demonstrate creation and characterization of Einstein-Podolsky-Rosen (EPR) correlation between optical beams in the time domain. The correlated beams are created with two independent continuous-wave optical parametric…

Quantum Physics · Physics 2009-11-13 Nobuyuki Takei , Noriyuki Lee , Daiki Moriyama , J. S. Neergaard-Nielsen , Akira Furusawa

Einstein-Podolsky-Rosen (EPR) steering, a category of quantum nonlocal correlations describing the ability of one observer to influence another party's state via local measurements, is different from both entanglement and Bell nonlocality…

Quantum Physics · Physics 2022-03-31 Ze-Yan Hao , Kai Sun , Yan Wang , Zheng-Hao Liu , Mu Yang , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo