Open Access
Symmetry, volume 12, issue 4, pages 534
Taxonomy of Three-Qubit Mermin Pentagrams
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.
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TY - JOUR
DO - 10.3390/sym12040534
UR - https://doi.org/10.3390/sym12040534
TI - Taxonomy of Three-Qubit Mermin Pentagrams
T2 - Symmetry
AU - Saniga, M.
AU - Holweck, Frédéric
AU - Jaffali, Hamza
PY - 2020
DA - 2020/04/03
PB - MDPI
SP - 534
IS - 4
VL - 12
SN - 2073-8994
ER -
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@article{2020_Saniga,
author = {M. Saniga and Frédéric Holweck and Hamza Jaffali},
title = {Taxonomy of Three-Qubit Mermin Pentagrams},
journal = {Symmetry},
year = {2020},
volume = {12},
publisher = {MDPI},
month = {apr},
url = {https://doi.org/10.3390/sym12040534},
number = {4},
pages = {534},
doi = {10.3390/sym12040534}
}
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Saniga, M., et al. “Taxonomy of Three-Qubit Mermin Pentagrams.” Symmetry, vol. 12, no. 4, Apr. 2020, p. 534. https://doi.org/10.3390/sym12040534.