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We consider the uncertainty bound on the sum of variances of two incompatible observables in order to derive a corresponding steering inequality. Our steering criterion when applied to discrete variables yields the optimum steering range…

Quantum Physics · Physics 2017-11-21 Ananda G. Maity , Shounak Datta , A. S. Majumdar

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…

We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations, along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering…

Quantum Physics · Physics 2014-03-04 James Schneeloch , Curtis J. Broadbent , John C. Howell

This document expands upon the relationship between discrete and continuous entropy given in (Phys. Rev. Lett. 110 130407), \Violating Continuous Variable Einstein-Podolsky-Rosen Steering with Discrete Measurements". We provide a detailed…

Quantum Physics · Physics 2013-12-11 James Schneeloch

In the last few years, several criteria to identify Eistein-Podolski-Rosen steering have been proposed and experimentally implemented. On the operational side, however, the evaluation of the steerability degree of a given state has shown to…

Quantum Physics · Physics 2016-03-09 A. C. S. Costa , R. M. Angelo

The effect of steering describes a possible action at a distance via measurements but characterizing the quantum states that can be used for this task remains difficult. We provide a method to derive sufficient criteria for steering from…

Quantum Physics · Physics 2018-12-05 Ana C. S. Costa , Roope Uola , Otfried Gühne

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…

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…

Quantum Physics · Physics 2015-03-11 Ioannis Kogias , Gerardo Adesso

Einstein-Podolsky-Rosen (EPR) steering is the ability that an observer persuades a distant observer to share entanglement by making local measurements. Determining a quantum state is steerable or unsteerable remains an open problem. Here,…

Quantum Physics · Physics 2021-03-09 Xiao-Gang Fan , Huan Yang , Fei Ming , Xue-Ke Song , Dong Wang , Liu Ye

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

We improve the entropic uncertainty relations for position and momentum coarse-grained measurements. We derive the continuous, coarse-grained counterparts of the discrete uncertainty relations based on the concept of majorization. The…

Quantum Physics · Physics 2015-06-30 Łukasz Rudnicki

We propose a general framework for constructing universal steering criteria that are applicable to arbitrary bipartite states and measurement settings of the steering party. The same framework is also useful for studying the joint…

Quantum Physics · Physics 2016-02-24 Huangjun Zhu , Masahito Hayashi , Lin Chen

We derive two quantum uncertainty relations for position and momentum coarse-grained measurements. Building on previous results, we first improve the lower bound for uncertainty relations using the Renyi entropy, particularly in the case of…

Quantum Physics · Physics 2012-11-06 Łukasz Rudnicki , Stephen P. Walborn , Fabricio Toscano

In comparison with entanglement and Bell nonlocality, Einstein-Podolsky-Rosen steering is a newly emerged research topic and in its incipient stage. Although Einstein-Podolsky-Rosen steering has been explored via violations of steering…

Quantum Physics · Physics 2015-01-09 Chunfeng Wu , Jing-Ling Chen , Xiang-Jun Ye , Hong-Yi Su , Dong-Ling Deng , Zhenghan Wang , C. H. Oh

We investigate quantum steering for multipartite systems by using entropic uncertainty relations. We introduce entropic steering inequalities whose violation certifies the presence of different classes of multipartite steering. These…

Quantum Physics · Physics 2018-05-16 Alberto Riccardi , Chiara Macchiavello , Lorenzo Maccone

The term Einstein-Podolsky-Rosen steering refers to a quantum correlation intermediate between entanglement and Bell nonlocality, which has been connected to another fundamental quantum property: measurement incompatibility. In the…

Quantum Physics · Physics 2017-11-08 Jukka Kiukas , Costantino Budroni , Roope Uola , Juha-Pekka Pellonpää

Einstein-Podolsky-Rosen (EPR) steering describes the ability of one observer to nonlocally "steer" the other observer's state through local measurements. It exhibits a unique asymmetric property, i.e., the steerability of one observer to…

We analyse two classes of Einstein-Podolsky-Rosen (EPR)-steering inequalities, the violation of which can be used to demonstrate EPR-steering with an entangled two-qubit Werner state: linear inequalities and quadratic inequalities. We…

Quantum Physics · Physics 2013-10-31 David A. Evans , Eric G. Cavalcanti , Howard M. Wiseman

The thermodynamic uncertainty relation originally proven for systems driven into a non-equilibrium steady state (NESS) allows one to infer the total entropy production rate by observing any current in the system. This kind of inference…

Statistical Mechanics · Physics 2021-09-23 Timur Koyuk , Udo Seifert

Entropic uncertainty relations play a fundamental role in quantum information theory. However, determining optimal (tight) entropic uncertainty relations for general observables remains a formidable challenge and has so far been achieved…

Quantum Physics · Physics 2026-02-03 Ma-Cheng Yang , Cong-Feng Qiao
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