# Generalized nonlocality criteria under the correlation symmetry

@article{Son2018GeneralizedNC, title={Generalized nonlocality criteria under the correlation symmetry}, author={Wonmin Son and M. S. Kim}, journal={Physical Review A}, year={2018}, volume={98} }

The most general class of non-locality criteria for N-partite d-chotomic systems with k number of measurement settings is derived under the constraint of measurement symmetries. It is the complete characterisation of the multi-partite non-locality when the correlation is assumed to be symmetric under the choice of measurement settings. The generalized non-locality condition is obtained using the correlation functions, which are derived from Fourier analysis of probability spectrums. It is found… Expand

#### 4 Citations

Generalized nonlocality criteria under the correlation symmetry

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#### References

SHOWING 1-10 OF 57 REFERENCES

Detecting non-locality in multipartite quantum systems with two-body correlation functions

- Physics
- 2013

Bell inequalities define experimentally observable quantities to detect non-locality. In general, they involve correlation functions of all the parties. Unfortunately, these measurements are hard to… Expand

Maximally Non-Local and Monogamous Quantum Correlations

- Computer Science, Medicine
- Physical review letters
- 2006

We introduce a version of the chained Bell inequality for an arbitrary number of measurement outcomes and use it to give a simple proof that the maximally entangled state of two d-dimensional quantum… Expand

Detecting genuine multipartite quantum nonlocality: a simple approach and generalization to arbitrary dimensions.

- Computer Science, Medicine
- Physical review letters
- 2011

A simple and intuitive approach is presented to Svetlichny's original inequality, which provides a clear understanding of its structure and of its violation in quantum mechanics, and a family of Bell-type inequalities for detecting genuine multipartite nonlocality in scenarios involving an arbitrary number of parties and systems of arbitrary dimension is derived. Expand

All-multipartite Bell-correlation inequalities for two dichotomic observables per site

- Physics
- 2001

We construct a set of ${2}^{{2}^{n}}$ independent Bell-correlation inequalities for n-partite systems with two dichotomic observables each, which is complete in the sense that the inequalities are… Expand

Simple Explanation of the Quantum Limits of Genuine n-Body Nonlocality.

- Physics, Medicine
- Physical review letters
- 2015

It is shown that, for any n≥2, the exclusivity principle, as derived from axioms about sharp measurements, and a technical assumption give the exact bounds predicted by quantum theory. Expand

Optimal tests of quantum nonlocality

- Physics
- 2001

We present a general method for obtaining all Bell inequalities for a given experimental setup. Although the algorithm runs slowly, we apply it to two cases. First, the Greenberger-Horne-Zeilinger… Expand

Axiomatic approach for the functional bound of multipartite high dimensional correlation

- Mathematics
- 2016

Abstract We propose a formalism to derive the maximal bound of generalized Bell type correlation and shows that the formalism can be applied to various form of Bell functions. The Bell function is… Expand

Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations.

- Mathematics, Medicine
- Physical review letters
- 2002

N-particle Bell-type inequalities under the assumption of partial separability, i.e., that the N-particles system is composed of subsystems which may be correlated in any way but which are uncorrelated with respect to each other, are derived. Expand

Maximal violation of the Collins-Gisin-Linden-Massar-Popescu inequality for infinite dimensional states.

- Mathematics, Medicine
- Physical review letters
- 2008

For very large values of d the inequality seems to reach its minimal value given by the probability constraints, which gives numerical evidence for a tight quantum Bell inequality (or generalized Csirelson inequality) for the 2x2xinfinity scenario. Expand

Test of nonlocality for a continuous-variable state based on an arbitrary number of measurement outcomes.

- Physics, Medicine
- Physical review letters
- 2006

It is demonstrated that CV systems can give higher violations of these Bell's inequalities than of the ones developed for two-outcome observables. Expand