Maximal violation of tight Bell inequalities for maximal high-dimensional entanglement

Maximal violation of Bell inequalities under local filtering

We investigate the behavior of the maximal violations of the CHSH inequality and Vèrtesi's inequality under the local filtering operations. An analytical method has been presented for general two-qubit systems to compute the maximal violation of the CHSH inequality and the lower bound of the maximal violation of Vértesi's inequality over the local filtering operations. We show by examples that ...

Maximal Bell’s Inequality Violation for Non Maximal Entanglement

Bell’s inequality violation (BIQV) for correlations of polarization is studied for a product state of two two-mode squeezed vacuum (TMSV) states. The violation allowed is shown to attain its maximal limit for all values of the squeezing parameter, ζ. We show via an explicit example that a state whose entanglement is not maximal allow maximal BIQV. The Wigner function of the state is non negativ...

Bipartite Bell Inequality and Maximal Violation

Maximal Inequalities for Associated Random Variables

In a celebrated work by Shao [13] several inequalities for negatively associated random variables were proved. In this paper we obtain some maximal inequalities for associated random variables. Also we establish a maximal inequality for demimartingales which generalizes and improves the result of Christofides [4].

Large violation of Bell inequalities with low entanglement

In this work we show the existence of violations of general bipartite Bell inequalities of order √ n log n with n inputs, n outputs and n-dimensional Hilbert spaces. Analyzing the construction of the elements involved in this violation one finds that, even though entanglement is necessary to obtain violation of Bell inequalities, the entropy of entanglement of the underlying state is essentiall...