Linear orthogonality spaces as a new approach to quantum logic

D 2021

Linear orthogonality spaces as a new approach to quantum logic

EMIR, Kadir, David KRUML, Jan PASEKA a Thomas VETTERLEIN

Základní údaje

Originální název

Linear orthogonality spaces as a new approach to quantum logic

Autoři

EMIR, Kadir (792 Turecko, garant, domácí), David KRUML (203 Česká republika, domácí), Jan PASEKA (203 Česká republika, domácí) a Thomas VETTERLEIN

Vydání

Los Alamitos, 2021 IEEE International Symposium on Multiple-Valued Logic (ISMVL 2021), od s. 33-38, 6 s. 2021

Nakladatel

IEEE Computer Society

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

tištěná verze "print"

Odkazy

URL

Kód RIV

RIV/00216224:14310/21:00119226

Organizační jednotka

Přírodovědecká fakulta

ISBN

978-1-7281-9225-3

ISSN

DOI

http://dx.doi.org/10.1109/ISMVL51352.2021.00015

UT WoS

000693398200006

Klíčová slova anglicky

Orthogonality spaces; undirected graphs; linear orthogonality spaces; finite rank

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 23. 9. 2021 12:26, Mgr. Marie Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GA18-06915S, projekt VaV

Název: Nové přístupy k agregačním operátorům v analýze a zpracování dat

Investor: Grantová agentura ČR, Nové přístupy k agregačním operátorům v analýze a zpracování dat

GF20-09869L, projekt VaV

Název: Ortomodularita z různých pohledů

Investor: Grantová agentura ČR, Ortomodularita z různých pohledů, Partnerská agentura (Rakousko)

MUNI/G/1211/2017, interní kód MU

Název: Grupové techniky a kvantová informace (Akronym: GRUPIK)

Investor: Masarykova univerzita, Grupové techniky a kvantová informace, INTERDISCIPLINARY - Mezioborové výzkumné projekty

Citovat

EMIR, Kadir, David KRUML, Jan PASEKA a Thomas VETTERLEIN. Linear orthogonality spaces as a new approach to quantum logic. In 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.

@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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