论文信息 - Bell inequalities and entanglement

Bell inequalities and entanglement

We discuss general Bell inequalities for bipartite and multipartite systems, emphasizing the connection with convex geometry on the mathematical side, and the communication aspects on the physical side. Known results on families of generalized Bell inequalities are summarized. We investigate maximal violations of Bell inequalities as well as states not violating (certain) Bell inequalities. Finally, we discuss the relation between Bell inequality violations and entanglement properties currently discussed in quantum information theory.

Michael M. Wolf | Reinhard F. Werner

[1] M. Kafatos. Bell's theorem, quantum theory and conceptions of the universe , 1989 .

[2] Jörg M. Wills,et al. Handbook of Convex Geometry , 1993 .

[3] M. Horodecki,et al. Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments , 2002 .

[4] B. M. Fulk. MATH , 1992 .

[5] Chee-Keng Yap,et al. Fundamental problems of algorithmic algebra , 1999 .

[6] Michael J. Todd,et al. Mathematical programming , 2004, Handbook of Discrete and Computational Geometry, 2nd Ed..

[7] J. Neumann. Mathematische grundlagen der Quantenmechanik , 1935 .

[8] David Avis,et al. A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra , 1991, SCG '91.

[9] Edward Nelson. Dynamical Theories of Brownian Motion , 1967 .

[10] I. Pitowsky. Quantum Probability ― Quantum Logic , 1989 .

[11] R. Haag,et al. Local quantum physics , 1992 .

[12] Hans Jarchow,et al. Topological Vector Spaces , 1981 .

[13] S. Berman,et al. Nuovo Cimento , 1983 .