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To what extent is quantum ambiguity ambiguous?

  • M. Dalla Chiara
  • R. Giuntini
  • R. Greechie
Part of the Trends in Logic book series (TREN, volume 22)

Abstract

A natural question arises in the framework of the unsharp approach to QT: to what extent is “sharp/unsharp” an unsharp, ambiguous distinction? So far, we have generally called sharp any quantum effect (or property) that satisfies the noncontradiction principle. However, different definitions of “sharp effect” can be proposed. One can distinguish two basic kinds of characterizations (Cattaneo, Dalla Chiara and Giuntini, 1999): (i) purely algebraic definitions, that only refer to the algebraic structure of the quantum effects; and (ii) probabilistic definitions, that also refer to the relationships between effects and states.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • M. Dalla Chiara
    • 1
  • R. Giuntini
    • 2
  • R. Greechie
    • 3
  1. 1.University of FlorenceItaly
  2. 2.University of CagliariItaly
  3. 3.Louisiana Tech UniversityRustonUSA

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