dorsal/arxiv
View SchemaMinimax quantum state discrimination
| Authors | Giacomo Mauro D'Ariano, Massimiliano Federico Sacchi, Jonas Kahn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504048 |
| URL | https://arxiv.org/abs/quant-ph/0504048 |
| DOI | 10.1103/PhysRevA.72.032310 |
| Journal | Phys. Rev. A 72, 032310 (2005) |
Abstract
We derive the optimal measurement for quantum state discrimination without a priori probabilities, i.e. in a minimax strategy instead of the usually considered Bayesian one. We consider both minimal-error and unambiguous discrimination problems, and provide the relation between the optimal measurements according to the two schemes. We show that there are instances in which the minimum risk cannot be achieved by an orthogonal measurement, and this is a common feature of the minimax estimation strategy.
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"abstract": "We derive the optimal measurement for quantum state discrimination without a\npriori probabilities, i.e. in a minimax strategy instead of the usually\nconsidered Bayesian one. We consider both minimal-error and unambiguous\ndiscrimination problems, and provide the relation between the optimal\nmeasurements according to the two schemes. We show that there are instances in\nwhich the minimum risk cannot be achieved by an orthogonal measurement, and\nthis is a common feature of the minimax estimation strategy.",
"arxiv_id": "quant-ph/0504048",
"authors": [
"Giacomo Mauro D\u0027Ariano",
"Massimiliano Federico Sacchi",
"Jonas Kahn"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.032310",
"journal_ref": "Phys. Rev. A 72, 032310 (2005)",
"title": "Minimax quantum state discrimination",
"url": "https://arxiv.org/abs/quant-ph/0504048"
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