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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…

量子物理 · 物理学 2013-03-20 Ryo Namiki

We study a continuous-variable entangled state composed of two states which are squeezed in two opposite quadratures in phase space. Various entanglement conditions are tested for the entangled squeezed state and we study decoherence models…

量子物理 · 物理学 2010-08-05 P. Marek , M. S. Kim , M. Paternostro

By use of Reid's criterion and entropic criterion, we investigate the Einstein-Podolsky-Rosen (EPR) steering for some entangled continuous variable wavefunctions. We find that not all of the entangled states violate Reid's EPR inequality…

量子物理 · 物理学 2011-11-28 Hong-Yi Su , Jing-Ling Chen , Chunfeng Wu , Dong-Ling Deng , C. H. Oh

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…

量子物理 · 物理学 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 generalization of the 1935 Einstein-Podolsky-Rosen (EPR) argument for measurements with continuous variable outcomes is presented to establish criteria for the demonstration of the EPR paradox, for situations where the correlation between…

量子物理 · 物理学 2007-05-23 M. D. Reid

In their seminal paper, Einstein Podolsky and Rosen (EPR) had introduced a momentum entangled state for two particles. That state, referred to as the EPR state, has been widely used in studies on entangled particles with continuous degrees…

量子物理 · 物理学 2025-10-24 Rashi Adhikari , Mohd Shoaib Qureshi , Tabish Qureshi

We propose and analyze a scheme to entangle the collective spin states of two spatially separated bimodal Bose-Einstein condensates. Using a four-mode approximation for the atomic field, we show that elastic collisions in a state-dependent…

量子气体 · 物理学 2013-11-25 Hadrien Kurkjian , Krzysztof Pawlowski , Philipp Treutlein , Alice Sinatra

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…

量子物理 · 物理学 2016-03-23 E. Shchukin , P. van Loock

Mechanical systems facilitate the development of a new generation of hybrid quantum technology comprising electrical, optical, atomic and acoustic degrees of freedom. Entanglement is the essential resource that defines this new paradigm of…

量子物理 · 物理学 2019-06-28 S. Barzanjeh , E. S. Redchenko , M. Peruzzo , M. Wulf , D. P. Lewis , G. Arnold , J. M. Fink

Einstein-Podolsky-Rosen (EPR) entanglement is a criterion that is more demanding than just certifying entanglement. We theoretically and experimentally analyze the low resource generation of bi-partite continuous variable entanglement, as…

We show that for a fixed amount of entanglement, two-mode squeezed states are those that maximize Einstein-Podolsky-Rosen-like correlations. We use this fact to determine the entanglement of formation for all symmetric Gaussian states…

量子物理 · 物理学 2013-01-14 G. Giedke , M. M. Wolf , O. Krueger , R. F. Werner , J. I. Cirac

The entanglement of general pure Gaussian two-mode states is examined in terms of the coefficients of the quadrature components of the wavefunction. The entanglement criterion and the entanglement of formation are directly evaluated as a…

量子物理 · 物理学 2009-11-11 R. W. Rendell , A. K. Rajagopal

Certification and quantification of correlations for multipartite states of quantum systems appear to be a central task in quantum information theory. We give here a unitary quantum-mechanical perspective of both entanglement and…

量子物理 · 物理学 2021-07-05 Paulina Marian , Tudor A. Marian

Steering is a manifestation of quantum correlations that embodies the Einstein-Podolsky-Rosen (EPR) paradox. While there have been recent attempts to quantify steering, continuous variable systems remained elusive. We introduce a steering…

量子物理 · 物理学 2015-03-11 Ioannis Kogias , Gerardo Adesso

We define an EPR-like uncertainty by using the Duan et al.'s inequality which gives a necessary and sufficient condition for the separability of any two-mode Gaussian state. We show that for a given amount of entanglement, the uncertainty…

量子物理 · 物理学 2017-07-11 Yahya Akbari-Kourbolagh , Hoda Alijanzadeh-Boura

EPR steering is an asymmetric form of correlations which is intermediate between quantum entanglement and Bell nonlocality, and can be exploited for quantum communication with one untrusted party. In particular, steering of continuous…

量子物理 · 物理学 2017-10-23 Yu Xiang , Buqing Xu , Ladislav Mišta , Tommaso Tufarelli , Qiongyi He , Gerardo Adesso

In view of the increasing importance of non-Gaussian entangled states in quantum information protocols like teleportation and violations of Bell inequalities, the steering of continuous variable non-Gaussian entangled states is…

量子物理 · 物理学 2014-08-01 Priyanka Chowdhury , Tanumoy Pramanik , A. S. Majumdar , G. S. Agarwal

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…

量子物理 · 物理学 2015-01-29 R. Y. Teh , M. D. Reid

We classify the entanglement of two--mode Gaussian states according to their degree of total and partial mixedness. We derive exact bounds that determine maximally and minimally entangled states for fixed global and marginal purities. This…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Alessio Serafini , Fabrizio Illuminati

Entanglement, one of the most intriguing aspects of quantum mechanics, marks itself into different features of quantum states. For this reason different criteria can be used for verifying entanglement. In this paper we review some of the…

量子物理 · 物理学 2014-07-16 D. Buono , G. Nocerino , S. Solimeno , A. Porzio
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