Multipartite nonlocality and random measurements

Rosier, Anna de; Gruca, Jacek; Parisio, Fernando; Vértesi, Tamás; Laskowski, Wiesław

doi:10.1103/physreva.96.012101

Cited by 34 publications

(72 citation statements)

References 47 publications

(45 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Note that these results are consistent with the numerical findings of [22]. We leave open the problem of proving theorem 2 for an odd number of parties.…”

Section: Nonlocal Volume In the Multipartite Scenariosupporting

confidence: 89%

“…Note that the numerical evidence suggesting property 3 of the nonlocal volume had been found in [22,32]. Finally, let us comment on the generalization of properties 2 and 3 to bipartite mixed entangled states that are nonlocal, i.e.…”

Section: Properties Of the Measurementioning

confidence: 80%

“…So far, analytical results exist only in the simplest bipartite case and for the CHSH inequality [21,22]. Nonetheless, the numerical results of [19,22] strongly suggest that the above measure may be able to remove the anomaly between nonlocality and entanglement. Indeed, extensive numerical computations show that the maximally entangled state is the one achieving the highest probability of obtaining nonlocal correlations with random measurements in all the explored cases.…”

Section: The Nonlocal Volumementioning

confidence: 99%

See 2 more Smart Citations

Towards an equivalence between maximal entanglement and maximal quantum nonlocality

et al. 2018

View full text Add to dashboard Cite

While all bipartite pure entangled states are known to generate correlations violating a Bell inequality, and are therefore nonlocal, the quantitative relation between pure state entanglement and nonlocality is poorly understood. In fact, some Bell inequalities are maximally violated by non-maximally entangled states and this phenomenon is also observed for other operational measures of nonlocality.In this work, we study a recently proposed measure of nonlocality defined as the probability that a pure state displays nonlocal correlations when subjected to random measurements. We first prove that this measure satisfies some natural properties for an operational measure of nonlocality. Then, we show that for pure states of two qubits the measure is monotonic with entanglement for all correlation two-outcome Bell inequalities: for all these inequalities, the more the state is entangled, the larger the probability to violate them when random measurements are performed. Finally, we extend our results to the multipartite setting.

show abstract

“…Note that these results are consistent with the numerical findings of [22]. We leave open the problem of proving theorem 2 for an odd number of parties.…”

Section: Nonlocal Volume In the Multipartite Scenariosupporting

confidence: 89%

Section: Properties Of the Measurementioning

confidence: 80%

Section: The Nonlocal Volumementioning

confidence: 99%

See 1 more Smart Citation

Towards an equivalence between maximal entanglement and maximal quantum nonlocality

et al. 2018

View full text Add to dashboard Cite

show abstract

“…The probability of violation of local realism under random measurements, proposed in [1], has gained considerable attention as an operational measure of nonclassicality of quantum states [2]. It has been demonstrated both numerically [3][4][5] and analytically [2,6] that this quantity is a good candidate for a nonlocality measure. What is more, in [6] it was proved that this quantifier satisfies some natural properties and expectations for an operational measure of nonclassicality.…”

Section: Introductionmentioning

confidence: 99%

Strength and typicality of nonlocality in multisetting and multipartite Bell scenarios

et al. 2020

Self Cite

View full text Add to dashboard Cite

In this work we investigate the probability of violation of local realism under random measurements in parallel with the strength of these violations as described by resistance to white noise admixture. We address multisetting Bell scenarios involving up to 7 qubits. As a result, in the first part of this manuscript we report statistical distributions of a quantity reciprocal to the critical visibility for various multipartite quantum states subjected to random measurements. The statistical relevance of different classes of multipartite tight Bell inequalities violated with random measurements is investigated. We also introduce the concept of typicality of quantum correlations for pure states as the probability to generate a nonlocal behaviour with both random state and measurement. Although this typicality is slightly above 5.3% for the CHSH scenario, for a modest increase in the number of involved qubits it quickly surpasses 99.99%.

show abstract

“…While on the Bell nonlocality side, a significant literature exists concerning multipartite settings [30][31][32][33][34][35], it is still not clear whether it is possible to extend the notion of realismbased nonlocality even to tripartite scenarios. This work aims at starting this research program.…”

mentioning

confidence: 99%

Tripartite realism-based quantum nonlocality

Fucci

Angelo

2019

Phys. Rev. A

View full text Add to dashboard Cite

From an operational criterion of physical reality, a quantifier of realism-based nonlocality was recently introduced for two-part quantum states. This measure has shown to capture aspects that are rather different from Bell nonlocality. Here we take a step further and introduce a tripartite realism-based nonlocality quantifier. We show that this measure reduces to genuine tripartite entanglement for a certain class of pure tripartite states and manifests itself in correlated mixed states even in the absence of quantum correlations. A case study for noisy GHZ and W states points out the existence of scenarios where the realism-based nonlocality is monogamous.

show abstract

Multipartite nonlocality and random measurements

Cited by 34 publications

References 47 publications

Towards an equivalence between maximal entanglement and maximal quantum nonlocality

Towards an equivalence between maximal entanglement and maximal quantum nonlocality

Strength and typicality of nonlocality in multisetting and multipartite Bell scenarios

Tripartite realism-based quantum nonlocality

Contact Info

Product

Resources

About