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Classification of real and complex three-qutrit states

In this paper, we classify the orbits of the group SL(3,F)3 on the space F3 ⊗ F3 ⊗ F3 for F=C and F=R. This is known as the classification of complex and real three-qutrit states. We also give an overview of physical theories where these classifications are relevant.

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Bibliographic Details
Published in:Journal of mathematical physics 2023-09, Vol.64 (9)
Main Authors: Di Trani, Sabino, de Graaf, Willem A., Marrani, Alessio
Format: Article
Language:English
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Summary:In this paper, we classify the orbits of the group SL(3,F)3 on the space F3 ⊗ F3 ⊗ F3 for F=C and F=R. This is known as the classification of complex and real three-qutrit states. We also give an overview of physical theories where these classifications are relevant.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0156805