dorsal/arxiv
View SchemaOptimal phase estimation and square root measurement
| Authors | M. Sasaki, A. Carlini, A. Chefles |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011057 |
| URL | https://arxiv.org/abs/quant-ph/0011057 |
| DOI | 10.1088/0305-4470/34/35/327 |
Abstract
We present an optimal strategy having finite outcomes for estimating a single parameter of the displacement operator on an arbitrary finite dimensional system using a finite number of identical samples. Assuming the uniform {\it a priori} distribution for the displacement parameter, an optimal strategy can be constructed by making the {\it square root measurement} based on uniformly distributed sample points. This type of measurement automatically ensures the global maximality of the figure of merit, that is, the so called average score or fidelity. Quantum circuit implementations for the optimal strategies are provided in the case of a two dimensional system.
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"abstract": "We present an optimal strategy having finite outcomes for estimating a single\nparameter of the displacement operator on an arbitrary finite dimensional\nsystem using a finite number of identical samples. Assuming the uniform {\\it a\npriori} distribution for the displacement parameter, an optimal strategy can be\nconstructed by making the {\\it square root measurement} based on uniformly\ndistributed sample points. This type of measurement automatically ensures the\nglobal maximality of the figure of merit, that is, the so called average score\nor fidelity. Quantum circuit implementations for the optimal strategies are\nprovided in the case of a two dimensional system.",
"arxiv_id": "quant-ph/0011057",
"authors": [
"M. Sasaki",
"A. Carlini",
"A. Chefles"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/35/327",
"title": "Optimal phase estimation and square root measurement",
"url": "https://arxiv.org/abs/quant-ph/0011057"
},
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