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Based on total variance of a pair of Einstein-Podolsky-Rosen (EPR) type operators, the generalized EPR entangled states in continuous variable systems are defined. We show that such entangled states must correspond with two-mode squeezing…

Quantum Physics · Physics 2009-11-10 Yun-Jie Xia , Guang-Can Guo

Quantum mechanics is formulated on a Hilbert space that is assumed to be separable. However, there seems to be no clear reason justifying this assumption. Does it have physical implications? We answer in the positive by proposing a test…

Quantum Physics · Physics 2024-12-04 Miguel Gallego

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…

Einstein-Podolsky-Rosen (EPR) steering, as one of the most intriguing phenomenon of quantum mechanics, is a useful quantum resource for quantum communication. Understanding the type of EPR steering in a graph state is the basis for…

Quantum Physics · Physics 2019-09-18 Meihong Wang , Xiaowei Deng , Zhongzhong Qin , Xiaolong Su

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

We study the Einstein-Podolsky-Rosen (EPR) steering and present steerability criteria for arbitrary qubit-qudit (qudit-qubit) systems based on mutually unbiased measurements (MUMs) and general symmetric informationally complete measurements…

Quantum Physics · Physics 2020-02-03 Le-Min Lai , Tao Li , Shao-Ming Fei , Zhi-Xi Wang

In this somewhat pedagogical paper we revisit complementarity relations in bipartite quantum systems. Focusing on continuous variable systems, we examine the influential class of EPR-like states through a generalization to Gaussian states…

Quantum Physics · Physics 2020-01-27 Bar Y. Peled , Amit Te'eni , Danko Georgiev , Avishy Carmi , Eliahu Cohen

Einstein-Podolsky-Rosen (EPR) steering is often (implicitly or explicitly) taken to be evidence for spooky action-at-a-distance. An alternative perspective on steering is that Alice has no causal influence on the physical state of Bob's…

Quantum Physics · Physics 2023-02-22 Beata Zjawin , David Schmid , Matty J. Hoban , Ana Belén Sainz

Quantum steering, also called Einstein-Podolsky-Rosen steering, is the intriguing phenomenon associated with the ability of spatially separated observers to steer---by means of local measurements---the set of conditional quantum states…

Quantum Physics · Physics 2017-01-03 Chung-Yun Hsieh , Yeong-Cherng Liang , Ray-Kuang Lee

In this Letter, we derive an entropic Einstein-Podolsky-Rosen (EPR) steering inequality for continuous variable (CV) systems using only experimentally measured discrete probability distributions and details of the measurement apparatus. We…

In a previous paper tests for entanglement for two mode systems involving identical massive bosons were obtained. In the present paper we consider sufficiency tests for EPR steering in such systems. We find that spin squeezing in any spin…

Quantum Physics · Physics 2020-01-22 Bryan J Dalton , Barry M Garraway , Margaret D Reid

Multipartite Einstein-Podolsky-Rosen (EPR) steering has been widely studied, for realizing safer quantum communication. The steering properties of six spatially separated beams from the four-wave-mixing process with a spatially structured…

Quantum Physics · Physics 2023-04-12 Yunyun Liang , Rongguo Yang , Jing Zhang , Tiancai Zhang

Einstein-Podolsky-Rosen (EPR) steering exhibits an inherent asymmetric feature that differs from both entanglement and Bell nonlocality, which leads to one-way EPR steering. Although this one-way EPR steering phenomenon has been…

Quantum Physics · Physics 2017-06-21 Zhongzhong Qin , Xiaowei Deng , Caixing Tian , Meihong Wang , Xiaolong Su , Changde Xie , Kunchi Peng

The distinctive non-classical features of quantum physics were first discussed in the seminal paper by A. Einstein, B. Podolsky and N. Rosen (EPR) in 1935. In his immediate response E. Schr\"odinger introduced the notion of entanglement,…

Entanglement lies at the heart of quantum mechanics, and has been identified an essential resource for diverse applications in quantum information. If entanglement could be verified without any trust in the devices of observers, i.e., in a…

Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far only been proven for a restricted class of…

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

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

In quantum information, the Werner state is a benchmark to test the boundary between quantum mechanics and classical models. There have been three well-known critical values for the two-qubit Werner state, i.e., $V_{\rm c}^{\rm E}=1/3$…

Quantum Physics · Physics 2024-04-10 Ruo-Chen Wang , Zhuo-Chen Li , Xing-Yan Fan , Xiang-Ru Xie , Hong-Hao Wei , Choo Hiap Oh , Jing-Ling Chen

Quantum nonlocality is an essential nonlocality resource in quantum information. It has been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. In 1991, Gisin…

Quantum Physics · Physics 2025-12-29 Yu-Xuan Zhang , Jing-Ling Chen
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