Open Access
Symmetry, volume 12, issue 4, pages 534
Taxonomy of Three-Qubit Mermin Pentagrams
M. Saniga
1
,
Frédéric Holweck
2
,
Hamza Jaffali
3
1
Astronomical Institute of the Slovak Academy of Sciences, SK-05960 Tatranská Lomnica, Slovakia
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Publication type: Journal Article
Publication date: 2020-04-03
Chemistry (miscellaneous)
Physics and Astronomy (miscellaneous)
General Mathematics
Computer Science (miscellaneous)
Abstract
Given the fact that the three-qubit symplectic polar space features three different kinds of observables and each of its labeled Fano planes acquires a definite sign, we found that there are 45 distinct types of Mermin pentagrams in this space. A key element of our classification is the fact that any context of such pentagram is associated with a unique (positive or negative) Fano plane. Several intriguing relations between the character of pentagrams’ three-qubit observables and ‘valuedness’ of associated Fano planes are pointed out. In particular, we find two distinct kinds of negative contexts and as many as four positive ones.
Found
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