A Finite-Geometric Classification of Three-Qubit Mermin Pentagrams
| Autor: | Saniga, Metod, Holweck, Frederic, Jaffali, Hamza |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Symmetry 12 (2020) 534 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3390/sym12040534 |
| Popis: | Given the facts 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. Comment: 6 pages, 2 figures |
| Databáze: | arXiv |
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