X-states from a finite geometric perspective

Autor: Colm Kelleher, Frédéric Holweck, Péter Lévay, Metod Saniga
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Results in Physics, Vol 22, Iss , Pp 103859- (2021)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2021.103859
Popis: It is found that 15 different types of two-qubit X-states split naturally into two sets (of cardinality 9 and 6) once their entanglement properties are taken into account. We characterize both the validity and entangled nature of the X-states with maximally-mixed subsystems in terms of certain parameters and show that their properties are related to a special class of geometric hyperplanes of the symplectic polar space of order two and rank two. Finally, we introduce the concept of hyperplane-states and briefly address their non-local properties.
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