Quantum Structures Without Group-Valued Measures

  • Mirko NavaraEmail author
  • Václav Voráček


Quantum structures with small dimensions of state spaces are not only mathematical curiosities. They enriched the mathematical theory by new tools. We have significantly optimized some of these constructions. Related questions have been studied also in graph theory.


Orthomodular lattice Orthomodular poset Orthoalgebra Effect algebra State Probability measure Group-valued measure Girth 



The authors thank to Mladen Pavičić and Foat F. Sultanbekov for their valuable remarks. The work was supported from European Regional Development Fund-Project “Center for Advanced Applied Science” (No. CZ.02.1.01/0.0/0.0/16_/0000778).


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Authors and Affiliations

  1. 1.Center for Machine Perception, Department of Cybernetics, Faculty of Electrical EngineeringCzech Technical University in PraguePrahaCzech Republic

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