A geometric formulation to measure global and genuine entanglement in three-qubit systems
- URL: http://arxiv.org/abs/2405.09466v2
- Date: Tue, 24 Sep 2024 18:57:00 GMT
- Title: A geometric formulation to measure global and genuine entanglement in three-qubit systems
- Authors: Salvio Luna-Hernandez, Marco Enriquez, Oscar Rosas-Ortiz,
- Abstract summary: We consider 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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