dorsal/arxiv
View SchemaA New Strategy of Quantum-State Estimation for Achieving the Cramer-Rao Bound
| Authors | Koji Usami, Yoshihiro Nambu, Yoshiyuki Tsuda, Keiji Matsumoto, Kazuo Nakamura |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209074 |
| URL | https://arxiv.org/abs/quant-ph/0209074 |
| DOI | 10.1103/PhysRevA.68.022314 |
Abstract
We experimentally analyzed the statistical errors in quantum-state estimation and examined whether their lower bound, which is derived from the Cramer-Rao inequality, can be truly attained or not. In the experiments, polarization states of bi-photons produced via spontaneous parametric down-conversion were estimated employing tomographic measurements. Using a new estimation strategy based on Akaike's information criterion, we demonstrated that the errors actually approach the lower bound, while they fail to approach it using the conventional estimation strategy.
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"abstract": "We experimentally analyzed the statistical errors in quantum-state estimation\nand examined whether their lower bound, which is derived from the Cramer-Rao\ninequality, can be truly attained or not. In the experiments, polarization\nstates of bi-photons produced via spontaneous parametric down-conversion were\nestimated employing tomographic measurements. Using a new estimation strategy\nbased on Akaike\u0027s information criterion, we demonstrated that the errors\nactually approach the lower bound, while they fail to approach it using the\nconventional estimation strategy.",
"arxiv_id": "quant-ph/0209074",
"authors": [
"Koji Usami",
"Yoshihiro Nambu",
"Yoshiyuki Tsuda",
"Keiji Matsumoto",
"Kazuo Nakamura"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.022314",
"title": "A New Strategy of Quantum-State Estimation for Achieving the Cramer-Rao Bound",
"url": "https://arxiv.org/abs/quant-ph/0209074"
},
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