dorsal/arxiv
View SchemaOptimum unambiguous discrimination among linearly-independent non-orthogonal quantum states and its optical realization
| Authors | Yuqing Sun, Mark Hillery, Janos Bergou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0012131 |
| URL | https://arxiv.org/abs/quant-ph/0012131 |
| DOI | 10.1103/PhysRevA.64.022311 |
Abstract
The problem of unambiguously distinguishing among nonorthogonal but linearly independent quantum states can be solved by mapping the set of nonorthogonal quantum states onto a set of orthogonal ones, which can then be distinguished without error. Such nonunitary transformations can be performed conditionally on quantum systems; a unitary transformation is carried out on a larger system of which the system of interest is a subsytem, a measurement is performed, and if the proper result is obtained, the desired nonunitary transformation will have been performed on the subsystem. We show how to construct generalized interferometers (multiports), which when combined with measurements on some of the output ports, implement nonunitary transformations of this type. The input states are single-photon states in which the photon is divided among several modes. A number of explicit examples of distinguishing among three nonorthogonal states are discussed, and the networks that optimally distinguish among these states are presented.
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"abstract": "The problem of unambiguously distinguishing among nonorthogonal but linearly\nindependent quantum states can be solved by mapping the set of nonorthogonal\nquantum states onto a set of orthogonal ones, which can then be distinguished\nwithout error. Such nonunitary transformations can be performed conditionally\non quantum systems; a unitary transformation is carried out on a larger system\nof which the system of interest is a subsytem, a measurement is performed, and\nif the proper result is obtained, the desired nonunitary transformation will\nhave been performed on the subsystem. We show how to construct generalized\ninterferometers (multiports), which when combined with measurements on some of\nthe output ports, implement nonunitary transformations of this type. The input\nstates are single-photon states in which the photon is divided among several\nmodes. A number of explicit examples of distinguishing among three\nnonorthogonal states are discussed, and the networks that optimally distinguish\namong these states are presented.",
"arxiv_id": "quant-ph/0012131",
"authors": [
"Yuqing Sun",
"Mark Hillery",
"Janos Bergou"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.022311",
"title": "Optimum unambiguous discrimination among linearly-independent non-orthogonal quantum states and its optical realization",
"url": "https://arxiv.org/abs/quant-ph/0012131"
},
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