A geometric formulation to measure global and genuine entanglement in three-qubit systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914992600645632 |
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| author | Luna-Hernandez, Salvio Enriquez, Marco Rosas-Ortiz, Oscar |
| author_facet | Luna-Hernandez, Salvio Enriquez, Marco Rosas-Ortiz, Oscar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09466 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A geometric formulation to measure global and genuine entanglement in three-qubit systems Luna-Hernandez, Salvio Enriquez, Marco Rosas-Ortiz, Oscar Quantum Physics Mathematical Physics 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. |
| title | A geometric formulation to measure global and genuine entanglement in three-qubit systems |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2405.09466 |