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An application of Bell's inequalities to a quantum state extension problem

✍ Scribed by Reinhard F. Werner


Publisher
Springer
Year
1989
Tongue
English
Weight
242 KB
Volume
17
Category
Article
ISSN
0377-9017

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✦ 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.


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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