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We develop the concept of genuine N-partite Einstein-Podolsky-Rosen (EPR) steering. This nonlocality is the natural multipartite extension of the original EPR paradox. Useful properties emerge that are not guaranteed for genuine…

Quantum Physics · Physics 2014-02-18 Q. Y. He , M. D. Reid

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

Quantum teleportation is a method for utilizing quantum measurements and the maximally entangled Einstein-Podolsky-Rosen (EPR) pair to transmit an unknown quantum state. It is well known that all entangled states demonstrate so-called…

Quantum Physics · Physics 2021-12-01 Chia-Kuo Chen , Shih-Hsuan Chen , Ni-Ni Huang , Che-Ming Li

The verification of quantum devices is an important aspect of quantum information, especially with the emergence of more advanced experimental implementations of computation and secure communication. Within this, the theory of…

Quantum Physics · Physics 2016-07-08 Ivan Šupić , Matty J. Hoban

Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns…

Quantum Physics · Physics 2015-02-13 Ioannis Kogias , Antony R. Lee , Sammy Ragy , Gerardo Adesso

The existence of quantum correlations that allow one party to steer the quantum state of another party is a counterintuitive quantum effect that has been described already at the beginning of the past century. Steering occurs if…

Quantum Physics · Physics 2016-03-04 Tobias Moroder , Oleg Gittsovich , Marcus Huber , Roope Uola , Otfried Gühne

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

Protocols for testing or exploiting quantum correlations-such as entanglement, Bell nonlocality, and Einstein-Podolsky-Rosen steering- generally assume a common reference frame between two parties. Establishing such a frame is…

Quantum Physics · Physics 2018-09-12 Sabine Wollmann , Michael J. W. Hall , Raj B. Patel , Howard M. Wiseman , Geoff J. Pryde

High-dimensional quantum steering can be seen as a test for the dimensionality of entanglement, where the devices at one side are not characterized. As such, it is an important component in quantum informational protocols that make use of…

Quantum Physics · Physics 2023-10-30 Carlos de Gois , Martin Plávala , René Schwonnek , Otfried Gühne

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

Bell nonlocality and Einstein-Podolsky-Rosen (EPR) steering are every important quantum correlations of a composite quantum system. Bell nonlocality of a bipartite state is a quantum correlation demonstrated by some local quantum…

Quantum Physics · Physics 2018-01-31 Huaixin Cao , Zhihua Guo

We investigate the possibility of multiple use of a single copy of three-qubit states for genuine tripartite Einstein-Podolsky-Rosen (EPR) steering. A pure three-qubit state of either the Greenberger-Horne-Zeilinger (GHZ)-type or W-type is…

Quantum Physics · Physics 2021-02-24 Shashank Gupta , Ananda G. Maity , Debarshi Das , Arup Roy , A. S. Majumdar

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 formally link the concept of steering (a concept created by Schrodinger but only recently formalised by Wiseman, Jones and Doherty [Phys. Rev. Lett. 98, 140402 (2007)] and the criteria for demonstrations of Einstein-Podolsky-Rosen (EPR)…

Quantum Physics · Physics 2009-10-05 E. G. Cavalcanti , S. J. Jones , H. M. Wiseman , M. D. Reid

We show how single system steering can be exhibited by classical light, a feature originating from superposition in classical optics that also enables entanglement and Bell-violation by classical light beams. Single system steering is the…

Quantum Physics · Physics 2016-06-28 Tanumoy Pramanik , Archan S. Majumdar

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…

The question of which two-qubit states are steerable (i.e. permit a demonstration of EPR-steering) remains open. Here, a strong necessary condition is obtained for the steerability of two-qubit states having maximally-mixed reduced states,…

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

Correlations between distant particles are central to many puzzles and paradoxes of quantum mechanics and, at the same time, underpin various applications like quantum cryptography and metrology. Originally in 1935, Einstein, Podolsky and…

Quantum Physics · Physics 2019-06-27 H. Chau Nguyen , Huy-Viet Nguyen , Otfried Gühne

Quantum steering is a relatively simple test for quantumness of correlations, proving that the values of quantum-mechanical measurement outcomes come into being only in the act of measurement. By exploiting quantum correlations Alice can…

Quantum Physics · Physics 2017-01-18 Adam Rutkowski , Adam Buraczewski , Paweł Horodecki , Magdalena Stobińska