dorsal/arxiv
View SchemaAntilinearity in Bipartite Quantum Systems and Imperfect Quantum Teleportation
| Authors | Armin Uhlmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407244 |
| URL | https://arxiv.org/abs/quant-ph/0407244 |
| Journal | Quantum Probability and White Noise Analysis, Volume 15, 255-268, World Scientific 2003 (W. Freudenberg, ed.) |
Abstract
Antilinearity is quite natural in bipartite quantum systems. There is a one-to-one correspondence between vectors and certain antilinear maps, here called EPR-maps. Some of their properties and uses, including the factorization of quantum teleportation maps, is explained. There is an elementary link to twisted Kronecker products and to the modular objects of Tomita and Takesaki.
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"abstract": "Antilinearity is quite natural in bipartite quantum systems. There is a\none-to-one correspondence between vectors and certain antilinear maps, here\ncalled EPR-maps. Some of their properties and uses, including the factorization\nof quantum teleportation maps, is explained. There is an elementary link to\ntwisted Kronecker products and to the modular objects of Tomita and Takesaki.",
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"journal_ref": "Quantum Probability and White Noise Analysis, Volume 15, 255-268,\n World Scientific 2003 (W. Freudenberg, ed.)",
"title": "Antilinearity in Bipartite Quantum Systems and Imperfect Quantum Teleportation",
"url": "https://arxiv.org/abs/quant-ph/0407244"
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