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Mermin's inequality is the generalization of the Bell-CHSH inequality for three qubit states. The violation of the Mermin inequality guarantees the fact that there exists quantum non-locality either between two or three qubits in a three…

量子物理 · 物理学 2016-02-09 Satyabrata Adhikari , A. S. Majumdar

Genuine multipartite non-locality is not only of fundamental interest but also serves as an important resource for quantum information theory. We consider the $N$-partite scenario and provide an analytical upper bound on the maximal…

量子物理 · 物理学 2024-09-16 Youwang Xiao , Zong Wang , Wen-Na Zhao , Ming Li

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.…

量子物理 · 物理学 2017-10-17 Ming Li , Shuqian Shen , Naihuan Jing , Shao-Ming Fei , Xianqing Li-Jost

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

In this paper, it is proved that the maximal violation of Mermin's inequalities of $n$ qubits occurs only for GHZ's states and the states obtained from them by local unitary transformations. The key point of our argument involved here is by…

量子物理 · 物理学 2007-05-23 Zeqian Chen

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…

量子物理 · 物理学 2021-01-26 Lingyun Sun , Li Xu , Jing Wang , Ming Li , Shuqian Shen , Lei Li , Shaoming Fei

The violation of Mermin's inequalities is analyzed by making use of two different Bell setups built with pseudospin operators. Employing entangled states defined by means of squeezed and coherent states, the expectation value of Mermin's…

量子物理 · 物理学 2023-09-20 Philipe De Fabritiis , Itzhak Roditi , Silvio P. Sorella

Quantum nonlocality is a kind of significant quantum correlation that is stronger than quantum entanglement and EPR steering. The standard tripartite nonlocality can be detected by the violation of the Mermin inequality. By using local…

量子物理 · 物理学 2022-05-24 Qiao-Qiao Lv , Jin-Min Liang , Zhi-Xi Wang , Shao-Ming Fei

Mermin inequalities are derived for systems of three-state particles (qutrits) employing three local measurement settings. These establish perfect correlations which violate local realistic bounds more strongly than those previously…

量子物理 · 物理学 2020-01-20 Jay Lawrence

We consider the unambiguous discrimination of multipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition to realize the…

量子物理 · 物理学 2023-01-10 Donghoon Ha , Jeong San Kim

The necessary and sufficient criteria for violating the Mermin and Svetlichny inequalities by arbitrary three-qubit states are presented. Several attempts have been made, earlier, to find such criteria, however, those extant criteria are…

量子物理 · 物理学 2022-11-15 Mohd Asad Siddiqui , Sk Sazim

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…

量子物理 · 物理学 2023-10-20 Sk Sahadat Hossain , Biswajit Paul , Indrani Chattopadhyay , Debasis Sarkar

The violation of a Bell inequality implies the existence of nonlocality, making device-independent randomness certification possible. This paper derives a tight upper bound for the maximal quantum violation of Gisin's elegant Bell…

量子物理 · 物理学 2025-02-14 Dan-Dan Hu , Meng-Yan Li , Fen-Zhuo Guo , Yu-Kun Wang , Hai-Feng Dong , Fei Gao

We consider the optimal discrimination of bipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition for a measurement to…

量子物理 · 物理学 2022-03-16 Donghoon Ha , Jeong San Kim

We provide an analytical tripartite-study from the generalized $R$-matrix. It provides the upper bound of the maximum violation of Mermin's inequality. For a generic 2-qubit pure state, the concurrence or $R$-matrix characterizes the…

量子物理 · 物理学 2023-01-11 Xingyu Guo , Chen-Te Ma

A recent paper [M. Seevinck and J. Uffink, Phys. Rev. A 65, 012107 (2002)] presented a bound for the three-qubit Mermin inequality such that the violation of this bound indicates genuine three-qubit entanglement. We show that this bound can…

量子物理 · 物理学 2007-05-23 Geza Toth , Otfried Guehne , Michael Seevinck , Jos Uffink

Violation of Mermin inequalities is tested on the 5-qubit IBM quantum computer. For 3, 4 and 5 parties, quantum states that violate the corresponding Mermin inequalities are constructed using quantum circuits on superconducting qubits.…

量子物理 · 物理学 2016-07-13 Daniel Alsina , José Ignacio Latorre

We study the nonlocality of arbitrary dimensional bipartite quantum states. By computing the maximal violation of a set of multi-setting Bell inequalities, an analytical and computable lower bound has been derived for general two-qubit…

量子物理 · 物理学 2015-09-04 Ming Li , Tinggui Zhang , Bobo Hua , Shao-Ming Fei , Xianqing Li-Jost

We explore the subtle relationships between partial separability and entanglement of subsystems in multiqubit quantum states and give experimentally accessible conditions that distinguish between various classes and levels of partial…

量子物理 · 物理学 2008-09-03 Michael Seevinck , Jos Uffink

In the case of bipartite two qubits systems, we derive the analytical expression of bound of Bell operator for any given pure state. Our result not only manifest some properties of Bell inequality, for example which may be violated by any…

量子物理 · 物理学 2011-02-02 Yang Xiang
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