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Quantum Nonlocality of Arbitrary Dimensional Bipartite States.

Li M, Zhang T, Hua B, Fei SM, Li-Jost X - Sci Rep (2015)

Bottom Line: 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 states.The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states.

View Article: PubMed Central - PubMed

Affiliation: College of the Science, China University of Petroleum, Qingdao 266580, P. R. China.

ABSTRACT
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 states. This bound gives the necessary condition that a two-qubit state admits no local hidden variable models. The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states. The results are generalized to the case of high dimensional quantum states, and a sufficient condition for detecting the non-locality has been presented.

No MeSH data available.


Related in: MedlinePlus

The same cross-sectional view of Fig. 2 for all p1‚ÄČ=‚ÄČ0.9, p2‚ÄČ=‚ÄČ0.9 and p3‚ÄČ=‚ÄČ0.9.
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getmorefigures.php?uid=PMC4548185&req=5

f3: The same cross-sectional view of Fig. 2 for all p1‚ÄČ=‚ÄČ0.9, p2‚ÄČ=‚ÄČ0.9 and p3‚ÄČ=‚ÄČ0.9.

Mentions: By setting p1‚ÄČ=‚ÄČ0.9, p2‚ÄČ=‚ÄČ0.9 and p3‚ÄČ=‚ÄČ0.9, one has the the cross-sectional view, see Fig. 3.


Quantum Nonlocality of Arbitrary Dimensional Bipartite States.

Li M, Zhang T, Hua B, Fei SM, Li-Jost X - Sci Rep (2015)

The same cross-sectional view of Fig. 2 for all p1‚ÄČ=‚ÄČ0.9, p2‚ÄČ=‚ÄČ0.9 and p3‚ÄČ=‚ÄČ0.9.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4548185&req=5

f3: The same cross-sectional view of Fig. 2 for all p1‚ÄČ=‚ÄČ0.9, p2‚ÄČ=‚ÄČ0.9 and p3‚ÄČ=‚ÄČ0.9.
Mentions: By setting p1‚ÄČ=‚ÄČ0.9, p2‚ÄČ=‚ÄČ0.9 and p3‚ÄČ=‚ÄČ0.9, one has the the cross-sectional view, see Fig. 3.

Bottom Line: 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 states.The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states.

View Article: PubMed Central - PubMed

Affiliation: College of the Science, China University of Petroleum, Qingdao 266580, P. R. China.

ABSTRACT
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 states. This bound gives the necessary condition that a two-qubit state admits no local hidden variable models. The lower bound is shown to be better than that from the CHSH inequality in judging the nonlocality of some quantum states. The results are generalized to the case of high dimensional quantum states, and a sufficient condition for detecting the non-locality has been presented.

No MeSH data available.


Related in: MedlinePlus