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It is a challenging task to detect genuine multipartite nolocality (GMNL). In this paper, the problem is considered via computing the maximal quantum value of Svetlichny operators for three-qubit systems and a tight upper bound is obtained.…

Quantum Physics · Physics 2017-10-17 Ming Li , Shuqian Shen , Naihuan Jing , Shao-Ming Fei , Xianqing Li-Jost

Identifying the nonlocality of a multiparty quantum state is an important task in quantum mechanics. Seevinck and Svetlichny [Phys. Rev. Lett. 89, 060401 (2002)], and independently, Collins and co-workers [Phys. Rev. Lett. 88, 170405…

Quantum Physics · Physics 2023-10-20 Sk Sahadat Hossain , Biswajit Paul , Indrani Chattopadhyay , Debasis Sarkar

Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science. The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality. We provide tight upper bounds…

Quantum Physics · Physics 2021-01-26 Lingyun Sun , Li Xu , Jing Wang , Ming Li , Shuqian Shen , Lei Li , Shaoming Fei

We study the trade-off relations satisfied by the genuine tripartite nonlocality in multipartite quantum systems. From the reduced three-qubit density matrices of the four-qubit generalized Greenberger-Horne-Zeilinger (GHZ) states and W…

Quantum Physics · Physics 2019-11-19 Li-Jun Zhao , Lin Chen , Yu-Min Guo , Kai Wang , Yi Shen , Shao-Ming Fei

The violation of the Mermin inequality (MI) for multipartite quantum states guarantees the existence of nonlocality between either few or all parties. The detection of optimal MI violation is fundamentally important, but current methods…

Quantum Physics · Physics 2019-03-26 Mohd Asad Siddiqui , Sk Sazim

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…

Quantum Physics · Physics 2010-11-16 Ashok Ajoy , Pranaw Rungta

The paper titled "Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states", (Physical Review Letters 102, 250404 (2009)), does very important work on studying the nature of Svetlichny Inequalities (which are…

Quantum Physics · Physics 2014-08-14 Vibhu Gupta

It is known that the violation of Svetlichny inequality by any three-qubit state described by the density operator $\rho_{ABC}$ witness the genuine non-locality of $\rho_{ABC}$. But it is not an easy task as the problem of showing the…

Quantum Physics · Physics 2023-08-09 Anuma Garg , Satyabrata Adhikari

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,…

Quantum Physics · Physics 2025-12-11 Sanchit Srivastava , Shohini Ghose

Multipartite quantum states may exhibit different types of quantum entanglement in that they cannot be converted into each other by local quantum operations only, and fully understanding mathematical structures of different types of…

Quantum Physics · Physics 2020-06-24 Lijinzhi Lin , Zhaohui Wei

It is well known that entangled quantum states can be nonlocal: the correlations between local measurements carried out on these states cannot always be reproduced by local hidden variable models. Svetlichny, followed by others, showed that…

Quantum Physics · Physics 2009-11-10 Nick S. Jones , Noah Linden , Serge Massar

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…

Quantum Physics · Physics 2009-07-02 S. Ghose , N. Sinclair , S. Debnath , P. Rungta , R. Stock

The upper bound of the fine-grained uncertainty relation is different for classical physics, quantum physics and no-signaling theories with maximal nonlocality (supper quantum correlation), as was shown in the case of bipartite systems [J.…

Quantum Physics · Physics 2013-05-30 T. Pramanik , A. S. Majumdar

The notion of genuine three-particle non-locality introduced by Svetlichny \cite{Svetlichny} is discussed. Svetlichny's inequality which can distinguish between genuine three-particle non-locality and two-particle non-locality is analyzed…

Quantum Physics · Physics 2013-05-29 Peter Mitchell , Sandu Popescu , David Roberts

Quantification of coherence lies at the heart of quantum information processing and fundamental physics. Exact evaluation of coherence measures generally needs a full reconstruction of the density matrix, which becomes intractable for…

Quantum Physics · Physics 2021-06-28 Qi-Ming Ding , Xiao-Xu Fang , Xiao Yuan , Ting Zhang , He Lu

We investigate the genuine multipartite nonlocality of three-mode Gaussian states of continuous variable systems. For pure states, we present a simplified procedure to obtain the maximum violation of the Svetlichny inequality based on…

Quantum Physics · Physics 2014-01-08 Gerardo Adesso , Samanta Piano

Despite their importance, there is an on-going challenge characterizing multipartite quantum correlations. The Svetlichny and Mermin-Klyshko (MK) inequalities present constraints on correlations in multipartite systems, a violation of which…

Quantum Physics · Physics 2024-10-10 Rain Lenny , Dana Ben Porath , Eliahu Cohen

The existence of correlations between the parts of a quantum system on the one hand, and entanglement between them on the other, are different properties. Yet, one intuitively would identify strong $N$-party correlations with $N$-party…

Quantum Physics · Physics 2020-02-12 Christopher Eltschka , Jens Siewert

The nonlocal correlations of multipartite entangled states can be reproduced by a classical model if sufficiently many parties join together or if sufficiently many parties broadcast their measurement inputs. The maximal number m of groups…

Quantum Physics · Physics 2009-08-27 Jean-Daniel Bancal , Cyril Branciard , Nicolas Gisin , Stefano Pironio

The study of quantum nonlocality sharing has garnered significant attention, particularly for two-qubit and three-qubit entangled systems. In this paper, we extend the investigation to $n$-qubit Greenberger-Horne-Zeilinger (GHZ) systems,…

Quantum Physics · Physics 2025-08-12 Sk Sahadat Hossain , Indrani Chattopadhyay
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