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Quantum Structures Without Group-Valued Measures

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Abstract

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.

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Notes

  1. This example was already published in [13].

  2. An element a of an EA is sharp if a ∧ a′ = 0.

  3. The example from [37] is the same, but the numbers were corrected by M. Pavičić in [23].

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Acknowledgements

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. Center for Machine Perception, Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27, Praha, Czech Republic

    Mirko Navara & Václav Voráček

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  1. Mirko Navara
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  2. Václav Voráček
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Correspondence to Mirko Navara.

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Dedicated to the memory of P.G. Ovchinnikov

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Navara, M., Voráček, V. Quantum Structures Without Group-Valued Measures. Int J Theor Phys 60, 687–695 (2021). https://doi.org/10.1007/s10773-019-04058-y

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