Difference posets, effects, and quantum measurements View Full Text


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Article Info

DATE

1994-04

AUTHORS

Anatolij Dvurečenskij, Sylvia Pulmannová

ABSTRACT

Difference posets as generalizations of quantum logics, orthoalgebras, and effects are studied. Observables and measures generalizing normalized POV-measures and generalized measures on sets of effects are introduced. Characterization of orthomodularity of subsets of a difference poset in terms of triangle closedness and regularity of these subsets enables us to characterize observables with a Boolean range. Boolean powers of difference posets are investigated; they have similar properties to that of tensor products, and their connection with quantum measurements is studied. More... »

PAGES

819-850

References to SciGraph publications

  • 1983. Foundations of Quantum Mechanics I in NONE
  • 1933. Grundbegriffe der Wahrscheinlichkeitsrechnung in NONE
  • 1992-05. Filters and supports in orthoalgebras in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1993-09. Tensor products of orthoalgebras in ORDER
  • 1991. The Quantum Theory of Measurement in NONE
  • 1970-09. An operational approach to quantum probability in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1993. Gleason’s Theorem and Its Applications in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00672820

    DOI

    http://dx.doi.org/10.1007/bf00672820

    DIMENSIONS

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