International Journal of Theoretical Physics

, Volume 33, Issue 4, pp 819–850

Difference posets, effects, and quantum measurements

  • Anatolij Dvurečenskij
  • Sylvia Pulmannová
Article

DOI: 10.1007/BF00672820

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

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.

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Anatolij Dvurečenskij
    • 1
  • Sylvia Pulmannová
    • 1
  1. 1.Mathematical InstituteSlovak Academy of SciencesBratislavaSlovakia