A geometric formulation to measure global and genuine entanglement in three-qubit systems

We introduce a purely geometric formulation for two different measures addressed to quantify the entanglement between different parts of a tripartite qubit system. Our approach considers the entanglement–polytope defined by the smallest eigenvalues of the reduced density matrices of the qubit-compon...

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Bibliographic Details
Published in:Scientific reports 2024-10, Vol.14 (1), p.25684-16, Article 25684
Main Authors: Luna-Hernández, Salvio, Enríquez, Marco, Rosas-Ortiz, Oscar
Format: Article
Language:English
Subjects:
639/766/483/1139
639/766/483/2802
639/766/483/481
Eigenvalues
Humanities and Social Sciences
Inverse problems
multidisciplinary
Polytopes
Science
Science (multidisciplinary)
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Summary:We introduce a purely geometric formulation for two different measures addressed to quantify the entanglement between different parts of a tripartite qubit system. Our approach considers the entanglement–polytope defined by the smallest eigenvalues of the reduced density matrices of the qubit-components. The measures identify global and genuine entanglement, and are respectively associated with the projection and rejection of a given point of the polytope on the corresponding biseparable segments. Solving the so called ‘inverse problem’, we also discuss a way to force the system to behave in a particular form, which opens the possibility of controlling and manipulating entanglement for practical purposes.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-024-76566-9