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@inproceedings{1793698,
author = {Emir, Kadir and Kruml, David and Paseka, Jan and Vetterlein, Thomas},
address = {Los Alamitos},
booktitle = {2021 IEEE International Symposium on Multiple-Valued Logic (ISMVL 2021)},
doi = {http://dx.doi.org/10.1109/ISMVL51352.2021.00015},
keywords = {Orthogonality spaces; undirected graphs; linear orthogonality spaces; finite rank},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Los Alamitos},
isbn = {978-1-7281-9225-3},
pages = {33-38},
publisher = {IEEE Computer Society},
title = {Linear orthogonality spaces as a new approach to quantum logic},
url = {https://ieeexplore.ieee.org/document/9459669},
year = {2021}
}
TY - JOUR
ID - 1793698
AU - Emir, Kadir - Kruml, David - Paseka, Jan - Vetterlein, Thomas
PY - 2021
TI - Linear orthogonality spaces as a new approach to quantum logic
PB - IEEE Computer Society
CY - Los Alamitos
SN - 9781728192253
KW - Orthogonality spaces
KW - undirected graphs
KW - linear orthogonality spaces
KW - finite rank
UR - https://ieeexplore.ieee.org/document/9459669
N2 - The notion of an orthogonality space was recently rediscovered as an effective means to characterise the essential properties of quantum logic. The approach can be considered as minimalistic; solely the aspect of mutual exclusiveness is taken into account. In fact, an orthogonality space is simply a set endowed with a symmetric and irreflexive binary relation. If the rank is at least 4 and if a certain combinatorial condition holds, these relational structures can be shown to give rise in a unique way to Hermitian spaces. In this paper, we focus on the finite case. In particular, we investigate orthogonality spaces of rank at most 3.
ER -
EMIR, Kadir, David KRUML, Jan PASEKA a Thomas VETTERLEIN. Linear orthogonality spaces as a new approach to quantum logic. In \textit{2021 IEEE International Symposium on Multiple-Valued Logic (ISMVL 2021)}. Los Alamitos: IEEE Computer Society, 2021, s.~33-38. ISBN~978-1-7281-9225-3. Dostupné z: https://dx.doi.org/10.1109/ISMVL51352.2021.00015.
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