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  • 81D99  (1)
  • Springer  (1)
  • American Geophysical Union
  • GEOMAR Helmholtz-Zentrum für Ozeanforschung Kiel
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  • Springer  (1)
  • American Geophysical Union
  • GEOMAR Helmholtz-Zentrum für Ozeanforschung Kiel
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    Electronic Resource
    Electronic Resource
    Remarks on a quantum state extension problem (1990)
    Springer
    Letters in mathematical physics 19 (1990), S. 319-326 
    Details
    ISSN: 1573-0530
    Keywords: 46L30 ; 81D99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The problem is considered of finding, for a given pair of states on C *-algebras A 1 ⊗ A 2 and A 2 ⊗ A 3, a joint extension to A 1 ⊗ A 2 ⊗ A 3. The fact that, in contrast to classical probability, such an extension may fail to exist, is related to the fact that different convex decompositions of the same quantum state need not have a common refinement. Improved necessary criteria for extensibility in terms of Bell's inequalities are derived, and are compared to the necessary and sufficient criteria, as well as to entropic bounds in the simplest case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00429951
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