International Journal of Theoretical Physics

, Volume 33, Issue 4, pp 819–850

Difference posets, effects, and quantum measurements

Authors

  • Anatolij Dvurečenskij
    • Mathematical InstituteSlovak Academy of Sciences
  • Sylvia Pulmannová
    • Mathematical InstituteSlovak Academy of Sciences
Article

DOI: 10.1007/BF00672820

Cite this article as:
Dvurečenskij, A. & Pulmannová, S. Int J Theor Phys (1994) 33: 819. doi:10.1007/BF00672820
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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.

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© Plenum Publishing Corporation 1994