Bell’s Nonlocality Can be Detected by the Violation of Einstein-Podolsky-Rosen Steering Inequality

Chen, Jing-Ling; Ren, Changliang; Chen, Changbo; Ye, Xiang-Jun; Pati, Arun Kumar

doi:10.1038/srep39063

Cited by 36 publications

(38 citation statements)

References 55 publications

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“…It should be noted that the entanglement is not only one kind of quantum correlations. At this point, we can mention quantum discord [33][34][35] , quantum steering [36][37][38][39] , and Bell non-locality [40,41] .…”

Section: Introductionmentioning

confidence: 99%

Interaction of a three-level atom and a field with a time-varying frequency in the context of triangular well potentials: An exact treatment

Raffah

Berrada

Abdel‐Khalek

et al. 2020

Chaos, Solitons & Fractals

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We introduce a model of interaction between a three-level atom (3LA) and a one-mode field whose frequency evolves with the time in the context of triangular potentials. We consider a new class of cat states described as a superposition of the coherent states that are associated with these kinds of potentials. Mathematical and physical consequences of the obtained results are analyzed and discussed in detail by using the exact analytical treatment of the quantum system-state at subsequent times. We investigate the nonlocal and nonclassical properties of different system states in terms of the main parameters of the model. Interestingly, we present the dynamical behavior of the entanglement, second order correlation function, quantum Fisher information, and geometric phase of the considered bipartite quantum system. We show that the physical quantities for the proposed scheme are very sensitive through the choice of the time-varying frequency of the fields, at either coherent states or their superposition, and we compare the results to the case of fields that are associated to harmonic well potentials. Finally, we explore the relationship and dependence of the physical quantifiers on the main parameters of the model.

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Section: Introductionmentioning

confidence: 99%

Interaction of a three-level atom and a field with a time-varying frequency in the context of triangular well potentials: An exact treatment

Raffah

Berrada

Abdel‐Khalek

et al. 2020

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

show abstract

“…Although they are not equivalent [ 1 , 2 , 3 , 4 ], they are closely inter-related. On the one hand, there is a hierarchal structure of three types of nonclassical correlation/nonlocality represented by these three aspects [ 2 , 5 ]. Bell nonlocality refers to the strongest type of quantum correlation that cannot be reproduced by using any local hidden variable (LHV) model.…”

Section: Introductionmentioning

confidence: 99%

Exploring Multipartite Steering Effect Using Bell Operators

Hsu

Kawamoto

2019

Entropy

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While Bell operators are exploited in detecting Bell nonlocality and entanglement classification, we demonstrate their usefulness in exploring Einstein–Podolsky–Rosen (EPR) steering, which represents the quantum correlation intermediate between entanglement and Bell nonlocality. We propose a task function that detects steerability of multi-qubit states in bipartite scenarios. A novel necessary and sufficient steering criterion is based on the superposition of the recursive Bell operators which are often employed for detecting Bell nonlocality. Utilizing the task function we can (i) reveal the one-to-one mapping relation between joint measurability and unsteerability, (ii) geometrically depict and compare the entanglement classification and the steering criteria and propose a geometrical measure, and (iii) compare the EPR steering with Bell nonlocality using an alternative task function. We extend the result to detect EPR steering for multi-qutrit cases and some numerical results are illustrated as examples. Finally, the steering criteria in a star-shaped quantum network is studied to see how the result is applied to a genuine multipartite steering case.

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“…Based on the data-processing inequality for an extended Rényi relative entropy, Zhu et al [ 41 ] introduced a family of steering inequalities, which detect steering much more efficiently than those inequalities known before. Chen et al [ 42 ] showed that Bell nonlocal states can be constructed from some steerable states. Furthermore, a nine-setting steering inequality had also been presented for developing more efficient one-way steering and detecting some Bell nonlocal states.…”

Section: Introductionmentioning

confidence: 99%

Einstein-Podolsky-Rosen Steering Inequalities and Applications

Yang

Cao

2018

Entropy

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Einstein-Podolsky-Rosen (EPR) steering is very important quantum correlation of a composite quantum system. It is an intermediate type of nonlocal correlation between entanglement and Bell nonlocality. In this paper, based on introducing definitions and characterizations of EPR steering, some EPR steering inequalities are derived. With these inequalities, the steerability of the maximally entangled state is checked and some conditions for the steerability of the X-states are obtained. IntroductionGenerally, quantum correlations means the correlations between subsystems of a composite quantum system, including Bell nonlocality, steerability, entanglement and quantum discord.Einstein-Podolsky-Rosen (EPR) steering was first observed by Schrodinger [1] in the context of famous Einstein-Podolsky-Rosen (EPR) paradox [2][3][4][5]. It was realized that EPR steering, as a form of bipartite quantum correlation, is an intermediate between entanglement and Bell nonlocality. Wiseman et al. [6] shown the inequivalence between entanglement, steering, and nonlocality when considering the projective measurements. Then, Quintino et al. [7] further considered the general measurements and proved that these three quantum relations are inequivalent. Interestingly, steering can be characterized by a simple quantum information processing task, namely, entanglement verification with an untrusted party [6][7][8][9][10]. In addition, steering has been found useful in several applications, such as one-sided device-independent quantum key distribution [11]; subchannel discrimination [12]; temporal steering and security of quantum key distribution with mutually unbiased bases against individual attacks [13]; temporal steering in four dimensions with applications to coupled qubits and magnetoreception [14]; no-cloning of quantum steering [15]; and spatio-temporal steering for testing nonclassical correlations in quantum networks [16]. Recently, detection and characterization of steering have attracted increasing attention [3,6,8,[17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Many of the standard Bell inequalities (e.g., CHSH ) are not effective for detection of quantum correlations which allow for steering, because for a wide range of such correlations they are not violated. Various steering inequalities have been derived, such as linear steering inequalities [33][34][35]; inequalities based on multiplicative variances [3,17,33]; entropy uncertainty relations [36,37]; fine-grained uncertainty relations [38], temporal steering inequality [39]. Besides, Zukowski et al. [40] presented some Bell-like inequalities which have lower bounds for non-steering correlations than for local causal models. These inequalities involve all possible measurement settings at each side. Based on the data-processing inequality for an extended Rényi relative entropy, Zhu et al. [41] introduced a family of steering inequalities, which detect steering much more efficiently than those inequalities known before. Chen et al. [42] showed that Bell nonlo...

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Bell’s Nonlocality Can be Detected by the Violation of Einstein-Podolsky-Rosen Steering Inequality

Cited by 36 publications

References 55 publications

Interaction of a three-level atom and a field with a time-varying frequency in the context of triangular well potentials: An exact treatment

Interaction of a three-level atom and a field with a time-varying frequency in the context of triangular well potentials: An exact treatment

Exploring Multipartite Steering Effect Using Bell Operators

Einstein-Podolsky-Rosen Steering Inequalities and Applications

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