A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866929261823131648 |
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| author | Uskov, Dmitry B. Alsing, Paul M. |
| author_facet | Uskov, Dmitry B. Alsing, Paul M. |
| contents | In this paper we are focusing on entanglement control problem in a three-qubit system. We demonstrate that vector representation of entanglement, associated with SO(6) representation of SU(4) two-qubit group, can be used to solve various control problems analytically including (i) the transformation between a W-type states and GHZ state, and (ii) manipulating bipartite concurrences and three-tangle under a restricted access to only two qubits, and (iii) designing USp(4)-type quaternionic operations and quantum states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04621 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All Uskov, Dmitry B. Alsing, Paul M. Quantum Physics Mathematical Physics In this paper we are focusing on entanglement control problem in a three-qubit system. We demonstrate that vector representation of entanglement, associated with SO(6) representation of SU(4) two-qubit group, can be used to solve various control problems analytically including (i) the transformation between a W-type states and GHZ state, and (ii) manipulating bipartite concurrences and three-tangle under a restricted access to only two qubits, and (iii) designing USp(4)-type quaternionic operations and quantum states. |
| title | A, B, C of Three-Qubit Entanglement: Three Vectors to Control It All |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2309.04621 |