An application of Bell's inequalities to a quantum state extension problem |
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| Authors: | Reinhard F. Werner |
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| Affiliation: | (1) Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland;(2) Present address: FB Physik, University of Osnabrück, Postf. 4469, D-4500 Osnabrück, West Germany |
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| Abstract: | Using techniques from the study of quantum violations of Bell's inequalities, we give examples of three C*-algebras A, B, C, and states  12 on A  B, and 23 on B C, which agree on B, but do not have a common extension to A B C. This situation cannot occur in classical probability, i.e. for commutative algebras. |
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| Keywords: | 46L60 81C99 |
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