dorsal/arxiv
View SchemaProgrammable unknown quantum-state discriminators with multiple copies of program and data: A Jordan basis approach
| Authors | Bing He, János A. Bergou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610226 |
| URL | https://arxiv.org/abs/quant-ph/0610226 |
| DOI | 10.1103/PhysRevA.75.032316 |
| Journal | Phys. Rev. A 75, 032316, 2007 |
Abstract
The discrimination of any pair of unknown quantum states is performed by devices processing three parts of inputs: copies of the pair of unknown states we want to discriminate are respectively stored in two program systems and copies of data, which is guaranteed to be one of the unknown states, in a third system. We study the efficiency of such programmable devices with the inputs prepared with $n$ and $m$ copies of unknown qubits used as programs and data, respectively. By finding a symmetry in the average inputs, we apply the Jordan basis method to derive their optimal unambiguous discrimination and the minimum-error discrimination schemes. The dependence of the optimal solutions on the a prior probabilities of the mean input states is also demonstrated.
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"abstract": "The discrimination of any pair of unknown quantum states is performed by\ndevices processing three parts of inputs: copies of the pair of unknown states\nwe want to discriminate are respectively stored in two program systems and\ncopies of data, which is guaranteed to be one of the unknown states, in a third\nsystem. We study the efficiency of such programmable devices with the inputs\nprepared with $n$ and $m$ copies of unknown qubits used as programs and data,\nrespectively. By finding a symmetry in the average inputs, we apply the Jordan\nbasis method to derive their optimal unambiguous discrimination and the\nminimum-error discrimination schemes. The dependence of the optimal solutions\non the a prior probabilities of the mean input states is also demonstrated.",
"arxiv_id": "quant-ph/0610226",
"authors": [
"Bing He",
"J\u00e1nos A. Bergou"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.032316",
"journal_ref": "Phys. Rev. A 75, 032316, 2007",
"title": "Programmable unknown quantum-state discriminators with multiple copies of program and data: A Jordan basis approach",
"url": "https://arxiv.org/abs/quant-ph/0610226"
},
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