dorsal/arxiv
View SchemaCondition and capability of quantum state separation
| Authors | Yuan Feng, Runyao Duan, Zhengfeng Ji |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506021 |
| URL | https://arxiv.org/abs/quant-ph/0506021 |
| DOI | 10.1103/PhysRevA.72.012313 |
| Journal | Phys. Rev. A 72, 012313 (2005) |
Abstract
The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a lower bound on the average failure probability of any quantum state separation.
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"abstract": "The linearity of quantum operations puts many fundamental constraints on the\ninformation processing tasks we can achieve on a quantum system whose state is\nnot exactly known, just as we observe in quantum cloning and quantum\ndiscrimination. In this paper we show that in probabilistic manner, linearity\nis in fact the only one that restricts the physically realizable tasks. To be\nspecific, if a system is prepared in a state secretly chosen from a linearly\nindependent pure state set, then any quantum state separation can be physically\nrealized with a positive probability. Furthermore, we derive a lower bound on\nthe average failure probability of any quantum state separation.",
"arxiv_id": "quant-ph/0506021",
"authors": [
"Yuan Feng",
"Runyao Duan",
"Zhengfeng Ji"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.012313",
"journal_ref": "Phys. Rev. A 72, 012313 (2005)",
"title": "Condition and capability of quantum state separation",
"url": "https://arxiv.org/abs/quant-ph/0506021"
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