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We explore nonlocality of three-qubit pure symmetric states shared between Alice, Bob and Charlie using the Clauser-Horne-Shimony-Holt (CHSH) inequality. We make use of the elegant parametrization in the canonical form of these states,…

We investigate the nonlocality distributions among multiqubit systems based on the maximal violations of the Clauser-Horne-Shimony-Holt (CHSH) inequality of reduced pairwise qubit systems. We present a trade-off relation satisfied by these…

量子物理 · 物理学 2015-12-31 Hui-Hui Qin , Shao-Ming Fei , Xianqing Li-Jost

Incompatibility and nonlocality are not only of foundational interest but also act as important resources for quantum information theory. In the Clauser-Horne-Shimony-Holt (CHSH) scenario, the incompatibility of a pair of observables is…

量子物理 · 物理学 2023-02-21 Swati Kumari , Javid Naikoo , Sibasish Ghosh , A. K. Pan

We evaluate the maximal Clauser-Horne-Shimony-Holt (CHSH) violation for a generic (typically mixed) qubit-qudit state, obtaining easily computable expressions in arbitrary qudit dimension. This represents the optimal (2-2-2) Bell…

量子物理 · 物理学 2025-10-22 Alexander Bernal , J. Alberto Casas , Jesus M. Moreno

Entangled states of multiple qubits can violate Bell-type inequalities indicating nonlocal behavior of multiqubit quantum correlations. We analyze the relation between multipartite entanglement and genuine multipartite nonlocality,…

量子物理 · 物理学 2025-12-11 Sanchit Srivastava , Shohini Ghose

Maximally entangled states should maximally violate the Bell inequality. In this paper, it is proved that all two-qubit states that maximally violate the Bell-Clauser-Horne-Shimony-Holt inequality are exactly Bell states and the states…

量子物理 · 物理学 2009-11-10 Zeqian Chen

For a multipartite quantum state, the maximal violation of all Bell inequalities constitutes a measure of its nonlocality [Loubenets, J. Math. Phys. 53, 022201 (2012)]. In the present article, for the maximal violation of Bell inequalities…

量子物理 · 物理学 2022-07-06 Elena R. Loubenets , Min Namkung

Bell-Clauser-Horne-Shimony-Holt inequality (in terms of correlation functions) of two qutrits is studied in detail by employing tritter measurements. A uniform formula for the maximum value of this inequality for tritter measurements is…

量子物理 · 物理学 2007-05-23 Li-Bin Fu , Jing-Ling Chen , Xian-Geng Zhao

The Clauser-Horne-Shimony-Holt inequality was originally proposed as a Bell inequality to detect nonlocality in bipartite systems. However, it can also be used to certify the nonlocality of multipartite quantum states. We apply this to…

量子物理 · 物理学 2014-06-02 Rafael Chaves , Antonio Acín , Leandro Aolita , Daniel Cavalcanti

We study a recently proposed Einstein-Podolsky-Rosen steering inequality [arXiv- 1412.8178 (2014)]. Analogous to Clauser-Horne-Shimony-Holt (CHSH) inequality for Bell nonlocality, in the simplest scenario, i.e., 2 parties, 2 measurements…

量子物理 · 物理学 2015-10-02 Arup Roy , Some Sankar Bhattacharya , Amit Mukherjee , Manik Banik

We analyze the relationship between tripartite entanglement and genuine tripartite nonlocality for 3-qubit pure states in the GHZ class. We consider a family of states known as the generalized GHZ states and derive an analytical expression…

量子物理 · 物理学 2009-07-02 S. Ghose , N. Sinclair , S. Debnath , P. Rungta , R. Stock

Nonlocality and entanglement are not only the fundamental characteristics of quantum mechanics but also important resources for quantum information and computation applications. Exploiting the quantitative relationship between the two…

量子物理 · 物理学 2020-04-20 Zhaofeng Su , Haisheng Tan , Xiangyang Li

Nonlocality, evidenced by the violation of Bell inequalities, not only signifies entanglement but also highlights measurement incompatibility in quantum systems. Utilizing the generalized Clauser-Horne-Shimony-Holt (CHSH) Bell inequality,…

It is well known that the violation of Bell's inequality in the form given by Clauser, Horne, Shimony, and Holt (CHSH) in two-qubit systems requires entanglement, but not vice versa, i.e., there are entangled states which do not violate the…

量子物理 · 物理学 2013-11-20 Karol Bartkiewicz , Bohdan Horst , Karel Lemr , Adam Miranowicz

We study the relation between the maximal violation of Svetlichny's inequality and the mixedness of quantum states and obtain the optimal state (i.e., maximally nonlocal mixed states, or MNMS, for each value of linear entropy) to beat the…

Based on Clauser-Horner-Shimony-Holt inequality, we show a fruitful method to exploit Bell inequalities for multipartite qubit systems. These Bell inequalities are designed with a simpler architecture tailored to experimental demonstration.…

量子物理 · 物理学 2017-06-02 Ying-Qiu He , Dong Ding , Feng-Li Yan , Ting Gao

Cirel'son inequality states that the absolute value of the combination of quantum correlations appearing in the Clauser-Horne-Shimony-Holt (CHSH) inequality is bound by $2 \sqrt 2$. It is shown that the correlations of two qubits belonging…

量子物理 · 物理学 2009-07-28 Adan Cabello

We consider the Clauser-Horn (CH) inequality for a qubit-qutrit system. We derive the necessary and sufficient conditions for the violation of the inequality as well as some sufficient conditions. Remarkably, we demonstrate the importance…

量子物理 · 物理学 2026-05-12 Pawel Caban , Pawel Horodecki

We construct a Bell inequality from the Clauser-Horne-Shimony-Holt inequality for two qubits that provides a stronger bound on the correlations of entangled states than allowed by the CHSH inequality. The argument involved here can be…

量子物理 · 物理学 2007-11-07 Zeqian Chen

The violation of the Svetlichny's inequality (SI) [Phys. Rev. D, 35, 3066 (1987)] is sufficient but not necessary for genuine tripartite nonlocal correlations. Here we quantify the relationship between tripartite entanglement and the…

量子物理 · 物理学 2010-11-16 Ashok Ajoy , Pranaw Rungta
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