On the Stratifications of 2-Qubits X-State Space

On the Stratifications of 2-Qubits X-State Space

The 7-dimensional family ℬX of the so-called mixed X-states of 2-qubits is considered. Two versions of stratifications of ℬX , 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 uni...

Full description

Bibliographic Details
Main Authors: Khvedelidze Arsen, Torosyan Astghik
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817302011
id doaj-1f2dd761cdcb4de6a8a4f6e33c4b403a
record_format Article
spelling doaj-1f2dd761cdcb4de6a8a4f6e33c4b403a2021-08-02T07:10:38ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011730201110.1051/epjconf/201817302011epjconf_mmcp2018_02011On the Stratifications of 2-Qubits X-State SpaceKhvedelidze ArsenTorosyan AstghikThe 7-dimensional family ℬX of the so-called mixed X-states of 2-qubits is considered. Two versions of stratifications of ℬX , 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 GX ⊂ S U(4), while the second one corresponds to the action of the local unitary group LGX ⊂ GX . The equations and in-equalities in the invariants of the corresponding groups, determining each stratification component, are given.https://doi.org/10.1051/epjconf/201817302011
collection DOAJ
language English
format Article
sources DOAJ
author Khvedelidze Arsen
Torosyan Astghik
spellingShingle Khvedelidze Arsen
Torosyan Astghik
On the Stratifications of 2-Qubits X-State Space
EPJ Web of Conferences
author_facet Khvedelidze Arsen
Torosyan Astghik
author_sort Khvedelidze Arsen
title On the Stratifications of 2-Qubits X-State Space
title_short On the Stratifications of 2-Qubits X-State Space
title_full On the Stratifications of 2-Qubits X-State Space
title_fullStr On the Stratifications of 2-Qubits X-State Space
title_full_unstemmed On the Stratifications of 2-Qubits X-State Space
title_sort on the stratifications of 2-qubits x-state space
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description The 7-dimensional family ℬX of the so-called mixed X-states of 2-qubits is considered. Two versions of stratifications of ℬX , 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 GX ⊂ S U(4), while the second one corresponds to the action of the local unitary group LGX ⊂ GX . The equations and in-equalities in the invariants of the corresponding groups, determining each stratification component, are given.
url https://doi.org/10.1051/epjconf/201817302011
work_keys_str_mv AT khvedelidzearsen onthestratificationsof2qubitsxstatespace
AT torosyanastghik onthestratificationsof2qubitsxstatespace
_version_ 1721239527951958016

Similar Items