Hierarchy of genuine multipartite quantum correlations

Jia, Zhih-Ahn; Zhai, Rui; Yu, Shang; Wu, Yu-Chun; Guo, Guang‐Can

doi:10.1007/s11128-020-02922-z

Cited by 6 publications

(3 citation statements)

References 46 publications

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“…for i, j, k = (1, 2), where α 2 , β 2 and γ 2 are defined by (30). Define the sum of the three angles α 1 , β 1 and γ 1 :…”

Section: Three-qubit Ghz State Is Svetlichny Nonlocal For Two Orthogo...mentioning

confidence: 99%

“…As we can see, this means that randomly generated measurement angles will always produce genuinely tripartite nonlocal Svetlichny correlations, apart from a set of zero measure. Using (30), we obtain the following…”

Section: Quantum Maximum With Ghz Statementioning

confidence: 99%

“…Genuinely n-way nonlocal correlations represent the most fragile form of genuine multipartite quantum correlations (GMQCs) and are therefore at the top of the GMQC hierarchy. Namely, for any N-partite qubit state, there exists a hierarchy [30] such that genuine multipartite total correlations ⊋ genuine multipartite discord ⊋ genuine multipartite entanglement (GME) ⊋ genuine multipartite steering ⊋ GMNL. Furthermore, various forms of GMQC are, in general, inequivalent to each other.…”

Section: Introductionmentioning

confidence: 99%

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Optimal tests of genuine multipartite nonlocality

et al. 2022

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We propose an optimal and efficient numerical test for witnessing genuine multipartite nonlocality based on a geometric approach. In particular, we consider two non-equivalent models of local hidden variables, namely the Svetlichny and the no-signaling bilocal models. While our knowledge concerning these models is well established for Bell-type scenarios involving two measurement settings per party, the general case based on an arbitrary number of settings is a considerably more challenging task and very little work has been done in this field. In this paper, we applied such general tests to detect and characterize genuine $n$-way nonlocal correlations for various states of three qubits and qutrits. Apart from the fundamental problem of characterizing genuine multipartite nonlocal correlations, the extension of the number of measurements beyond two is also of practical importance. As a measure of nonlocality, we use the probability of violation of local realism under randomly sampled observables, and the strength of nonlocality, described by the resistance to white noise admixture. In particular, we analyze to what extent the Bell-type scenario involving two measurement settings can be used to certify genuine $n$-way nonlocal correlations generated for more general models. In addition, we propose a simple procedure to detect such nonlocal correlations for randomly chosen settings with an efficiency of up to 100\%. Due to its near-perfect efficiency, our method may open new possibilities in device-independent quantum cryptography applications where strong nonlocality between all partners is required.

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“…for i, j, k = (1, 2), where α 2 , β 2 and γ 2 are defined by (30). Define the sum of the three angles α 1 , β 1 and γ 1 :…”

Section: Three-qubit Ghz State Is Svetlichny Nonlocal For Two Orthogo...mentioning

confidence: 99%

Section: Quantum Maximum With Ghz Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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