On the Stratifications of 2-Qubits X -State Space

The 7-dimensional family ℬ X of the so-called mixed X -states of 2-qubits is considered. Two versions of stratifications of ℬ X , i.e., its decomposition into strata according to orbit types of the adjoint actions of two groups, are described. The first stratification is due to the action of global...

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Hauptverfasser: Khvedelidze, Arsen, Torosyan, Astghik
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:The 7-dimensional family ℬ X of the so-called mixed X -states of 2-qubits is considered. Two versions of stratifications of ℬ X , i.e., its decomposition into strata according to orbit types of the adjoint actions of two groups, are described. The first stratification is due to the action of global unitary group G X ⊂ S U (4), while the second one corresponds to the action of the local unitary group LG X ⊂ G X . The equations and in-equalities in the invariants of the corresponding groups, determining each stratification component, are given.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201817302011