An application of Bell's inequalities to a quantum state extension problem
β Scribed by Reinhard F. Werner
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 242 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0377-9017
No coin nor oath required. For personal study only.
β¦ Synopsis
Using techniques from the study of quantum violations of Bell's inequalities, we give examples of three C*-algebras d , ~, qr and states o912 on sg | ~11, and co23 on ~ | cg, which agree on al, but do not have a common extension to ~r | ~l | qr This situation cannot occur in classical probability, i.e. for commutative algebras.
π SIMILAR VOLUMES
A variety of convolution inequalities have been obtained since Anderson's theorem. In this paper, we extend a convolution theorem for G-monotone functions by weakening the symmetry condition of G-monotone functions. Our inequalities are described in terms of several orderings obtained from a cone. I