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Schr\"odinger held that a local quantum system has some objectively real quantum state and no other (hidden) properties. He therefore took the Einstein-Podolsky-Rosen (EPR) phenomenon, which he generalized and called `steering', to require…

Discrete-variable (DV) entanglement is crucial for numerous quantum applications, yet its deterministic generation in many bosonic systems remains experimentally challenging. In contrast, continuous-variable (CV) entanglement can be…

Quantum Physics · Physics 2026-03-16 Pak-Tik Fong , Ruchir Tullu , Hoi-Kwan Lau

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

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…

Quantum Physics · Physics 2019-06-28 S. Barzanjeh , E. S. Redchenko , M. Peruzzo , M. Wulf , D. P. Lewis , G. Arnold , J. M. Fink

Einstein-Podolsky-Rosen (EPR) steering is a quantum mechanical phenomenon that allows one party to steer the state of a distant party by exploiting their shared entanglement. It has potential applications in secure quantum communication. In…

Quantum Physics · Physics 2017-06-21 Meihong Wang , Zhongzhong Qin , Xiaolong Su

Entanglement detection and estimation are fundamental in quantum information science. Compared with discrete-variable states, for which lots of efficient entanglement detection criteria and lower bounds of entanglement measures have been…

Quantum Physics · Physics 2013-11-06 Chengjie Zhang , Sixia Yu , Qing Chen , C. H. Oh

We prove a simple dynamical law for excitation-preserving interactions: the {sum of local Wigner negativities} is upper-bounded by a fixed budget set by the initially excited state. For the single-excitation sector of the XY model (and its…

Quantum Physics · Physics 2025-11-14 Atta ur Rahman , Ao-xiang Liu , M. Y. Abd-Rabbou , Cong-feng Qiao

Quantum steering enables one party to communicate with another remote party even if the sender is untrusted. Such characteristics of quantum systems not only provide direct applications to quantum information science, but are also…

Quantum Physics · Physics 2018-01-01 Che-Ming Li , Hsin-Pin Lo , Liang-Yu Chen , Atsushi Yabushita

The generation and manipulation of strong entanglement and Einstein-Podolsky-Rosen (EPR) steering in macroscopic systems are outstanding challenges in modern physics. Especially, the observation of asymmetric EPR steering is important for…

Quantum Physics · Physics 2020-05-26 Sha-Sha Zheng , Feng-Xiao Sun , Huai-Yang Yuan , Zbigniew Ficek , Qi-Huang Gong , Qiong-Yi He

We investigate how stabilizer theory can be used for constructing sufficient conditions for entanglement. First, we show how entanglement witnesses can be derived for a given state, provided some stabilizing operators of the state are…

Quantum Physics · Physics 2007-05-23 Geza Toth , Otfried Guehne

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…

Quantum Physics · Physics 2025-10-24 Rashi Adhikari , Mohd Shoaib Qureshi , Tabish Qureshi

An entanglement witness (EW) is a Hermitian operator that can distinguish an entangled state from all separable states. We drive and implement a numerical method based on machine learning to create a multipartite EW. Using support vector…

Quantum Physics · Physics 2025-04-28 Mahmoud Mahdian , Zahra Mousavi

Entanglement is the defining feature of quantum mechanics, and understanding the phenomenon is essential at the foundational level and for future progress in quantum technology. The concept of steering was introduced in 1935 by…

Quantum Physics · Physics 2011-01-26 D. J. Saunders , S. J. Jones , H. M. Wiseman , G. J. Pryde

We develop a resource theory for continuous-variable systems grounded on operations routinely available within current quantum technologies. In particular, the set of free operations is convex and includes quadratic transformations and…

Quantum Physics · Physics 2018-12-05 Francesco Albarelli , Marco G. Genoni , Matteo G. A. Paris , Alessandro Ferraro

Entanglement witnesses (EWs) are a collection of observables that can characterize separable states and, experimentally, estimating EWs can verify entangled states. In this work, we show that a fixed measurement setting on a multipartite…

Quantum Physics · Physics 2026-05-29 Jaemin Kim , Anindita Bera , Dariusz Chruściński , Joonwoo Bae

One of the remarkable aspects of quantum steering is its ability to violate local uncertainty complementarity relations. In this vein of study, various steering witnesses have been developed. Here, we introduce a novel complementarity…

We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schr\"odinger-Robertson uncertainty relation. We show that any pure entangled bipartite and tripartite state can be…

Quantum Physics · Physics 2009-11-13 J. Gillet , T. Bastin , G. S. Agarwal

Einstein-Podolsky-Rosen (EPR) steering is a form of quantum correlations and its intrinsic asymmetry makes it distinct from entanglement and Bell nonlocality. We propose here a scheme for realizing one-way Gaussian steering of two…

Quantum Physics · Physics 2015-04-01 Huatang Tan , Xincheng Zhang , Gaoxiang Li

Entanglement, the essential resource in quantum information processing, should be witnessed in many tasks such as quantum computing and quantum communication. The conventional entanglement witness method, relying on an idealized…

Quantum Physics · Physics 2014-04-17 Ping Xu , Xiao Yuan , Luo-Kan Chen , He Lu , Xing-Can Yao , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

Heisenberg's original uncertainty relation is related to measurement effect, which is different from the preparation uncertainty relation. However, it has been shown that Heisenberg's error-disturbance uncertainty relation can be violated…

Quantum Physics · Physics 2019-08-13 Yang Liu , Zhihao Ma , Haijun Kang , Dongmei Han , Meihong Wang , Zhongzhong Qin , Xiaolong Su , Kunchi Peng