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dc.contributor.author
Dietrich, Heiko  
dc.contributor.author
de Graaf, Willem A.  
dc.contributor.author
Marrani, Alessio  
dc.contributor.author
Origlia, Marcos Miguel  
dc.date.available
2023-07-11T15:16:07Z  
dc.date.issued
2022-09  
dc.identifier.citation
Dietrich, Heiko; de Graaf, Willem A.; Marrani, Alessio; Origlia, Marcos Miguel; Classification of four-rebit states; Elsevier Science; Journal Of Geometry And Physics; 179; 104610; 9-2022; 1-31  
dc.identifier.issn
0393-0440  
dc.identifier.uri
http://hdl.handle.net/11336/203266  
dc.description.abstract
We classify states of four rebits, that is, we classify the orbits of the group Gˆ(R)=SL(2,R)4 in the space (R2)⊗4. This is the real analogon of the well-known SLOCC operations in quantum information theory. By constructing the Gˆ(R)-module (R2)⊗4 via a Z/2Z-grading of the simple split real Lie algebra of type D4, the orbits are divided into three groups: semisimple, nilpotent and mixed. The nilpotent orbits have been classified in Dietrich et al. (2017) [26], yielding applications in theoretical physics (extremal black holes in the STU model of N=2,D=4 supergravity, see Ruggeri and Trigiante (2017) [51]). Here we focus on the semisimple and mixed orbits which we classify with recently developed methods based on Galois cohomology, see Borovoi et al. (2021) [8,9]. These orbits are relevant to the classification of non-extremal (or extremal over-rotating) and two-center extremal black hole solutions in the STU model.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
GALOIS COHOMOLOGY  
dc.subject
GRADED LIE ALGEBRAS  
dc.subject
ORBITS OF REAL LIE GROUPS  
dc.subject
REBITS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Classification of four-rebit states  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-07-05T15:10:41Z  
dc.journal.volume
179  
dc.journal.number
104610  
dc.journal.pagination
1-31  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Dietrich, Heiko. Monash University; Australia  
dc.description.fil
Fil: de Graaf, Willem A.. Universita degli Studi di Trento; Italia  
dc.description.fil
Fil: Marrani, Alessio. Universidad de Murcia; España  
dc.description.fil
Fil: Origlia, Marcos Miguel. Monash University; Australia. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.journal.title
Journal Of Geometry And Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.geomphys.2022.104610  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044022001607