Explicit form of correlation-function three-setting tight Bell inequalities for three qubits

Two-Setting Bell Inequalities for Many Qubits

We present a family of Bell inequalities involving only two measurement settings of each party for N > 2 qubits. Our inequalities include all the standard ones with fewer than N qubits and thus gives a natural generalization. It is shown that all the Greenberger-Horne-Zeilinger states violate the inequalities maximally, with an amount that grows exponentially as 2. The inequalities are also vio...

Two-setting Bell Inequalities for Graph States

Géza Tóth, 2, ∗ Otfried Gühne, † and Hans J. Briegel 4, ‡ Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, D-85748 Garching, Germany, Research Institute of Solid State Physics and Optics, Hungarian Academy of Sciences, H-1525 Budapest P.O. Box 49, Hungary Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, A-6020 Innsbruck, Austria, Inst...

Bell Inequalities Classifying Bi-separable Three-qubit States

Bao-Zhi Sun and Shao-Ming Fei a Department of Mathematics, QuFu Normal University, Shandong 273165 b Department of Mathematics, Capital Normal University, Beijing 100037 c Institut für Angewandte Mathematik, Universität Bonn, D-53115 Abstract We present a set of Bell inequalities that gives rise to a finer classification of the entanglement for tripartite systems. These inequalities distinguish...

On Tight Multiparty Bell Inequalities for Many Settings

Gisin's theorem for three qubits.

We present a theorem that all generalized Greenberger-Horne-Zeilinger states of a three-qubit system violate a Bell inequality in terms of probabilities. All pure entangled states of a three-qubit system are shown to violate a Bell inequality for probabilities; thus, one has Gisin's theorem for three qubits.