ISSN:
1573-0530
Keywords:
46L60
;
81C99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
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 ω12 on A ⊗ B, and ω23 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00399761
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