dorsal/arxiv
View SchemaOptimal unambiguous discrimination between subsets of non-orthogonal quantum states
| Authors | Yuqing Sun, Janos A. Bergou, Mark Hillery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112051 |
| URL | https://arxiv.org/abs/quant-ph/0112051 |
| DOI | 10.1103/PhysRevA.66.032315 |
Abstract
It is known that unambiguous discrimination among non-orthogonal but linearly independent quantum states is possible with a certain probability of success. Here, we consider a variant of that problem. Instead of discriminating among all of the different states, we shall only discriminate between two subsets of them. In particular, for the case of three non-orthogonal states, we show that the optimal strategy to distinguish between a set containing one of the states from the set containing the other two has a higher success rate than if we wish to discriminate among all three states. Somewhat surprisingly, for unambiguous discrimination the subsets need not be linearly independent. A fully analytical solution is presented, and we also show how to construct generalized interferometers (multiports) that provide an optical implementation of the optimal strategy.
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"abstract": "It is known that unambiguous discrimination among non-orthogonal but linearly\nindependent quantum states is possible with a certain probability of success.\nHere, we consider a variant of that problem. Instead of discriminating among\nall of the different states, we shall only discriminate between two subsets of\nthem. In particular, for the case of three non-orthogonal states, we show that\nthe optimal strategy to distinguish between a set containing one of the states\nfrom the set containing the other two has a higher success rate than if we wish\nto discriminate among all three states. Somewhat surprisingly, for unambiguous\ndiscrimination the subsets need not be linearly independent. A fully analytical\nsolution is presented, and we also show how to construct generalized\ninterferometers (multiports) that provide an optical implementation of the\noptimal strategy.",
"arxiv_id": "quant-ph/0112051",
"authors": [
"Yuqing Sun",
"Janos A. Bergou",
"Mark Hillery"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.032315",
"title": "Optimal unambiguous discrimination between subsets of non-orthogonal quantum states",
"url": "https://arxiv.org/abs/quant-ph/0112051"
},
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