dorsal/arxiv
View SchemaCloning of spin-coherent states
| Authors | Rafal Demkowicz-Dobrzanski, Marek Kus, Krzysztof Wodkiewicz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307061 |
| URL | https://arxiv.org/abs/quant-ph/0307061 |
| DOI | 10.1103/PhysRevA.69.012301 |
| Journal | Phys. Rev. A 69, 012301 (2004) |
Abstract
We consider optimal cloning of the spin coherent states in Hilbert spaces of different dimensionality d. We give explicit form of optimal cloning transformation for spin coherent states in the three-dimensional space, analytical results for the fidelity of the optimal cloning in d=3 and d=4 as well as numerical results for higher dimensions. In the low-dimensional case we construct the corresponding completely positive maps and exhibit their structure with the help of Jamiolkowski isomorphism. This allows us to formulate some conjectures about the form of optimal coherent cloning CP maps in arbitrary dimension.
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"abstract": "We consider optimal cloning of the spin coherent states in Hilbert spaces of\ndifferent dimensionality d. We give explicit form of optimal cloning\ntransformation for spin coherent states in the three-dimensional space,\nanalytical results for the fidelity of the optimal cloning in d=3 and d=4 as\nwell as numerical results for higher dimensions. In the low-dimensional case we\nconstruct the corresponding completely positive maps and exhibit their\nstructure with the help of Jamiolkowski isomorphism. This allows us to\nformulate some conjectures about the form of optimal coherent cloning CP maps\nin arbitrary dimension.",
"arxiv_id": "quant-ph/0307061",
"authors": [
"Rafal Demkowicz-Dobrzanski",
"Marek Kus",
"Krzysztof Wodkiewicz"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.012301",
"journal_ref": "Phys. Rev. A 69, 012301 (2004)",
"title": "Cloning of spin-coherent states",
"url": "https://arxiv.org/abs/quant-ph/0307061"
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