dorsal/arxiv
View SchemaCharacterization of entanglement transformation via group representation theory
| Authors | Li-Xiang Cen, Xin-Qi Li, YiJing Yan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212152 |
| URL | https://arxiv.org/abs/quant-ph/0212152 |
| DOI | 10.1088/0305-4470/36/49/009 |
| Journal | J. Phys. A 36, 12267 (2003) |
Abstract
Entanglement transformation of composite quantum systems is investigated in the context of group representation theory. Representation of the direct product group $SL(2,C)\otimes SL(2,C)$, composed of local operators acting on the binary composite system, is realized in the four-dimensional complex space in terms of a set of novel bases that are pseudo orthonormalized. The two-to-one homomorphism is then established for the group $SL(2,C)\otimes SL(2,C)$ onto the $SO(4,C)$. It is shown that the resulting representation theory leads to the complete characterization for the entanglement transformation of the binary composite system.
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"abstract": "Entanglement transformation of composite quantum systems is investigated in\nthe context of group representation theory. Representation of the direct\nproduct group $SL(2,C)\\otimes SL(2,C)$, composed of local operators acting on\nthe binary composite system, is realized in the four-dimensional complex space\nin terms of a set of novel bases that are pseudo orthonormalized. The\ntwo-to-one homomorphism is then established for the group $SL(2,C)\\otimes\nSL(2,C)$ onto the $SO(4,C)$. It is shown that the resulting representation\ntheory leads to the complete characterization for the entanglement\ntransformation of the binary composite system.",
"arxiv_id": "quant-ph/0212152",
"authors": [
"Li-Xiang Cen",
"Xin-Qi Li",
"YiJing Yan"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/49/009",
"journal_ref": "J. Phys. A 36, 12267 (2003)",
"title": "Characterization of entanglement transformation via group representation theory",
"url": "https://arxiv.org/abs/quant-ph/0212152"
},
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