'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F12%3A00384315" target="_blank" >RIV/61388955:_____/12:00384315 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3842/SIGMA.2012.083" target="_blank" >http://dx.doi.org/10.3842/SIGMA.2012.083</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3842/SIGMA.2012.083" target="_blank" >10.3842/SIGMA.2012.083</a>
Alternative languages
Result language
angličtina
Original language name
'Magic' Configurations of Three-Qubit Observables and Geometric Hyperplanes of the Smallest Split Cayley Hexagon
Original language description
Recently Waegell and Aravind [J. Phys. A: Math. Theor. 45 (2012), 405301, 13 pages] have given a number of distinct sets of three-qubit observables, each furnishing a proof of the Kochen-Specker theorem. Here it is demonstrated that two of these sets/configurations, namely the 182123 and 241424364 ones, can uniquely be extended into geometric hyperplanes of the split Cayley hexagon of order two, namely into those of types V22(37;0,12,15,10) and V4(49;0,0,21,28) in the classification of Frohardt and Johnson [Comm. Algebra 22 (1994), 773-797]. Moreover, employing an automorphism of order seven of the hexagon, six more replicas of either of the two configurations are obtained.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
—
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry, Integrability and Geometry: Methods and Applications
ISSN
1815-0659
e-ISSN
—
Volume of the periodical
8
Issue of the periodical within the volume
2012
Country of publishing house
UA - UKRAINE
Number of pages
9
Pages from-to
—
UT code for WoS article
000312377700001
EID of the result in the Scopus database
—