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International Journal of Theoretical Physics

, Volume 59, Issue 1, pp 274–291 | Cite as

On Extension of Joint Distribution Functions on Quantum Logics

  • Ol’ga NánásiováEmail author
  • Jarosław Pykacz
  • L’ubica Valášková
  • Karla Čipková
Article

Abstract

The problem of extension of joint distribution functions (s-maps) on quantum logics is studied. Necessary and sufficient conditions for the extension of bivariate s-maps to trivariate s-maps are given. However, it is shown that these conditions are not sufficient for extending trivariate s-maps to 4-variate s-maps.

Keywords

Quantum logic Quantum probability Joint distribution S-map State 

Notes

Acknowledgments

O. N. and K. Č. thank for the support of the VEGA grant no. 1/0159/17, L’. V. thanks for the support of the VEGA grant no. 1/0420/15, and J. P. thanks Polish National Agency for Academic Exchange for the support which allowed him to visit Slovak Technical University in Bratislava, no. PPN/BIL/2018/1/87/SVK/UMOWA/1.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Ol’ga Nánásiová
    • 1
    Email author
  • Jarosław Pykacz
    • 2
  • L’ubica Valášková
    • 3
  • Karla Čipková
    • 1
  1. 1.Institute of Computer Science and Mathematics, Faculty of Electrical Engineering and Information TechnologySlovak University of Technology in BratislavaBratislavaSlovakia
  2. 2.Institute of MathematicsUniversity of GdańskGdańskPoland
  3. 3.Department of Mathematics and Descriptive Geometry, Faculty of Civil EngineeringSlovak University of Technology in BratislavaBratislavaSlovakia

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