Quantum nonlocality in two three-level systems

By Antonio Acín, T. Durt, Nicolas Gisin, José I. Latorre. 2001

244 citations recorded by the source corpus.

Recently a new Bell inequality has been introduced (CGLMP,KKCZO) that is strongly resistant to noise for maximally entangled states of two d-dimensional quantum systems. We prove that a larger violation, or equivalently a stronger resistance to noise, is found for a non-maximally entangled state. It is shown that the resistance to noise is not a good measure of non-locality and we introduce some other possible measures. The non-maximally entangled state turns out to be more robust also for these alternative measures. From these results it follows that two Von Neumann measurements per party may be not optimal for detecting non-locality. For d=3,4, we point out some connections between this inequality and distillability. Indeed, we demonstrate that any state violating it, with the optimal Von Neumann settings, is distillable.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/c781c672820053929e9422ce8ed33cbdb408544c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Marius Junge
2. Carlos Palazuelos
3. Gilles Pisier

In Atomic and Molecular Physics, and Optics

1. Marius Junge
2. Carlos Palazuelos
3. Gilles Pisier

Citations in the corpus

• Large Violation of Bell Inequalities with Low Entanglement (2010, background): “We can find some of these anomalies ([53]) in the study of Bell inequalities ([2]), detection loophole ([26]), extractable secrete key ([68]), K-L distance ([3]), etc.”