dorsal/arxiv
View SchemaProbabilistic cloning with supplementary information
| Authors | Koji Azuma, Junichi Shimamura, Masato Koashi, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505207 |
| URL | https://arxiv.org/abs/quant-ph/0505207 |
| DOI | 10.1103/PhysRevA.72.032335 |
| Journal | Phys. Rev. A 72, 032335 (2005) |
Abstract
We consider probabilistic cloning of a state chosen from a mutually nonorthogonal set of pure states, with the help of a party holding supplementary information in the form of pure states. When the number of states is 2, we show that the best efficiency of producing m copies is always achieved by a two-step protocol in which the helping party first attempts to produce m-1 copies from the supplementary state, and if it fails, then the original state is used to produce m copies. On the other hand, when the number of states exceeds two, the best efficiency is not always achieved by such a protocol. We give examples in which the best efficiency is not achieved even if we allow any amount of one-way classical communication from the helping party.
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"abstract": "We consider probabilistic cloning of a state chosen from a mutually\nnonorthogonal set of pure states, with the help of a party holding\nsupplementary information in the form of pure states. When the number of states\nis 2, we show that the best efficiency of producing m copies is always achieved\nby a two-step protocol in which the helping party first attempts to produce m-1\ncopies from the supplementary state, and if it fails, then the original state\nis used to produce m copies. On the other hand, when the number of states\nexceeds two, the best efficiency is not always achieved by such a protocol. We\ngive examples in which the best efficiency is not achieved even if we allow any\namount of one-way classical communication from the helping party.",
"arxiv_id": "quant-ph/0505207",
"authors": [
"Koji Azuma",
"Junichi Shimamura",
"Masato Koashi",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.032335",
"journal_ref": "Phys. Rev. A 72, 032335 (2005)",
"title": "Probabilistic cloning with supplementary information",
"url": "https://arxiv.org/abs/quant-ph/0505207"
},
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