Linear orthogonality spaces as a new approach to quantum logic
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119226" target="_blank" >RIV/00216224:14310/21:00119226 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/9459669" target="_blank" >https://ieeexplore.ieee.org/document/9459669</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/ISMVL51352.2021.00015" target="_blank" >10.1109/ISMVL51352.2021.00015</a>
Alternative languages
Result language
angličtina
Original language name
Linear orthogonality spaces as a new approach to quantum logic
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2021 IEEE International Symposium on Multiple-Valued Logic (ISMVL 2021)
ISBN
9781728192253
ISSN
0195-623X
e-ISSN
2378-2226
Number of pages
6
Pages from-to
33-38
Publisher name
IEEE Computer Society
Place of publication
Los Alamitos
Event location
electr network
Event date
May 25, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000693398200006