05306507

j

1146.81017 Leifer, M.S. Poulin, D. Quantum graphical models and belief propagation. Ann. Phys. 323, No. 8, 1899-1946 (2008). 2008 Academic Press (Elsevier Science), San Diego, CA EN 81P68 81P15 60D05 quantum theory quantum propagation

doi:10.1016/j.aop.2007.10.001

The present paper describes a generalization of some classical probability distribution, and uses all of these in order to apply in quantum theory. Starting from their studies, the authors present a quantum belief propagation algorithm which represents the main point of the paper. The entire work is well-described and the mathematical background proves that the paper has a good and clear exposure of the main subject. The work represents a complete treatment of the assumed subject and can be used like a basement for a exhaustive study of Quantum Graphical Models. Nicolae Constantinescu (Craiova)