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The dimensionality of entanglement is a core tenet of quantum information processing, especially quantum communication and computation. While it is natural to think of this dimensionality in finite dimensional systems, many of the…

Quantum Physics · Physics 2025-09-04 Shuheng Liu , Jiajie Guo , Matteo Fadel , Qiongyi He , Marcus Huber , Giuseppe Vitagliano

We present an unifying approach to the quantification of entanglement based on entanglement witnesses, which includes several already established entanglement measures such as the negativity, the concurrence and the robustness of…

Quantum Physics · Physics 2007-05-23 Fernando Guadalupe Santos Lins Brandao

We present a formalism to derive entanglement criteria beyond the Gaussian regime that can be readily tested by only homodyne detection. The measured observable is the Einstein-Podolsky-Rosen (EPR) correlation. Its arbitrary functional form…

Quantum Physics · Physics 2015-06-03 Hyunchul Nha , Su-Yong Lee , Se-Wan Ji , M. S. Kim

We use entropic uncertainty relations to formulate inequalities that witness Einstein-Podolsky-Rosen (EPR) steering correlations in diverse quantum systems. We then use these inequalities to formulate symmetric EPR-steering inequalities…

Entanglement detection problem is one of the important problem in quantum information theory. Gurvit showed that this problem is NP complete and thus this may be the possible reason that only one criterion is not sufficient to detect all…

Quantum Physics · Physics 2023-01-25 Shruti Aggarwal , Satyabrata Adhikari

Quantum states that possess negative conditional von Neumann entropy provide quantum advantage in several information-theoretic protocols including superdense coding, state merging, distributed private randomness distillation and one-way…

Quantum Physics · Physics 2021-07-22 Mahathi Vempati , Nirman Ganguly , Indranil Chakrabarty , Arun K Pati

This work presents a scheme for engineering quantum entanglement and Einstein-Podolsky-Rosen (EPR) steering with Gaussian measurements based on the quantum Hopfield model that incorporates a common thermal reservoir. We begin by examining…

Quantum Physics · Physics 2025-11-13 Yu-qiang Liu , Shan Sun , Yi-jia Yang , Zheng Liu , Xingdong Zhao , Zunlue Zhu , Wuming Liu , Chang-shui Yu

Einstein-Podolsky-Rosen (EPR) steering is an intermediate type of quantum nonlocality which sits between entanglement and Bell nonlocality. A set of correlations is Bell nonlocal if it does not admit a local hidden variable (LHV) model,…

Quantum Physics · Physics 2017-06-28 Quan Quan , Huangjun Zhu , Heng Fan , Wen-Li Yang

Einstein-Podolsky-Rosen steering is a manifestation of quantum correlations exhibited by quantum systems, that allows for entanglement certification when one of the subsystems is not characterized. Detecting steerability of quantum states…

Quantum Physics · Physics 2015-11-23 Ioannis Kogias , Paul Skrzypczyk , Daniel Cavalcanti , Antonio Acin , Gerardo Adesso

In 1935 Schr\"odinger introduced the terms entanglement and steering in the context of the famous gedanken experiment discussed by Einstein, Podolsky, and Rosen (EPR). Here, we report on a sixfold increase of the observed EPR-steering…

Quantum Physics · Physics 2013-03-06 Sebastian Steinlechner , Jöran Bauchrowitz , Tobias Eberle , Roman Schnabel

Einstein-Podolsky-Rosen (EPR) steering is a type of quantum correlation which allows one to remotely prepare, or steer, the state of a distant quantum system. While EPR steering can be thought of as a purely spatial correlation there does…

Quantum Physics · Physics 2016-07-25 Shin-Liang Chen , Neill Lambert , Che-Ming Li , Adam Miranowicz , Yueh-Nan Chen , Franco Nori

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…

The study of Entanglement of Formation of a mixed state of a bipartite system in high-dimensional Hilbert space is not easy in general. So, we focus on determining the amount of entanglement for a bipartite mixed state based on the concept…

Quantum Physics · Physics 2009-11-13 M. A. Jafarizadeh , M. Mahdian

Quantum inseparabilities can be classified into three inequivalent forms: entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. Bell-nonlocal states form a strict subset of EPR steerable states which also form a…

Quantum Physics · Physics 2019-05-22 Debarshi Das , Souradeep Sasmal , Sovik Roy

Tests of the predictions of quantum mechanics for entangled systems have provided increasing evidence against local realistic theories. However, there still remains the crucial challenge of simultaneously closing all major loopholes - the…

Einstein-Podolsky-Rosen (EPR) steering is a form of quantum nonlocality which is intermediate between entanglement and Bell nonlocality. EPR steering is a resource for quantum key distribution that is device independent on only one side in…

Quantum Physics · Physics 2016-09-29 C. Jebaratnam

Einstein-Podolsky-Rosen (EPR) steering, a generalization of the original concept of "steering" proposed by Schr\"{o}dinger, describes the ability of one system to nonlocally affect another system's states through local measurements. Some…

Quantum Physics · Physics 2015-11-06 Kai Sun , Jin-Shi Xu , Xiang-Jun Ye , Yu-Chun Wu , Chuan-Feng Li , Guang-Can Guo

Due to practical reasons, experimental and theoretical continuous-variable (CV) quantum information (QI) has been heavily based on Gaussian states. Nevertheless, many CV-QI protocols require the use of non-Gaussian states and operations.…

Quantum Physics · Physics 2015-01-13 E. S. Gómez , G. Cañas , E. Acuña , W. A. T. Nogueira , G. Lima

The advent of structured, high-dimensional entangled states brings new possibilities for quantum imaging, information processing and quantum key distribution. We experimentally generate and characterize a spatially entangled state stored in…

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