The influence of non-Gaussian noise on the accuracy of parameter estimation

Xue Lian Li; Jun Gang Li; Yuan Mei Wang

doi:10.1016/j.physleta.2016.10.050

The influence of non-Gaussian noise on the accuracy of parameter estimation

Xue Lian Li, Jun Gang Li^*, Yuan Mei Wang

^*此作品的通讯作者

物理学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

We analyze the influence of non-Gaussian noise on the accuracy of the parameter estimation. Specially, we estimate the intensity of magnetic field by adopting a spin-1/2 system which is influenced by random telegraph noise and colored noise with 1/f^α spectrum. We find that, for the random telegraph noise case, both weak coupling and strong coupling conditions are suitable for the parameter estimation. For the colored noise case, the accuracy of the parameter estimation decreases with the parameter α firstly and then increases with it. We also give physical explanations for these phenomena.

源语言	英语
页（从-至）	216-220
页数	5
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	381
期	4
DOI	https://doi.org/10.1016/j.physleta.2016.10.050
出版状态	已出版 - 30 1月 2017

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title = "The influence of non-Gaussian noise on the accuracy of parameter estimation",

abstract = "We analyze the influence of non-Gaussian noise on the accuracy of the parameter estimation. Specially, we estimate the intensity of magnetic field by adopting a spin-1/2 system which is influenced by random telegraph noise and colored noise with 1/fα spectrum. We find that, for the random telegraph noise case, both weak coupling and strong coupling conditions are suitable for the parameter estimation. For the colored noise case, the accuracy of the parameter estimation decreases with the parameter α firstly and then increases with it. We also give physical explanations for these phenomena.",

keywords = "Non-Gaussian noise, Parameter estimation, Quantum Fisher information",

author = "Li, {Xue Lian} and Li, {Jun Gang} and Wang, {Yuan Mei}",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

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doi = "10.1016/j.physleta.2016.10.050",

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T1 - The influence of non-Gaussian noise on the accuracy of parameter estimation

AU - Li, Xue Lian

AU - Li, Jun Gang

AU - Wang, Yuan Mei

PY - 2017/1/30

Y1 - 2017/1/30

N2 - We analyze the influence of non-Gaussian noise on the accuracy of the parameter estimation. Specially, we estimate the intensity of magnetic field by adopting a spin-1/2 system which is influenced by random telegraph noise and colored noise with 1/fα spectrum. We find that, for the random telegraph noise case, both weak coupling and strong coupling conditions are suitable for the parameter estimation. For the colored noise case, the accuracy of the parameter estimation decreases with the parameter α firstly and then increases with it. We also give physical explanations for these phenomena.

AB - We analyze the influence of non-Gaussian noise on the accuracy of the parameter estimation. Specially, we estimate the intensity of magnetic field by adopting a spin-1/2 system which is influenced by random telegraph noise and colored noise with 1/fα spectrum. We find that, for the random telegraph noise case, both weak coupling and strong coupling conditions are suitable for the parameter estimation. For the colored noise case, the accuracy of the parameter estimation decreases with the parameter α firstly and then increases with it. We also give physical explanations for these phenomena.

KW - Non-Gaussian noise

KW - Parameter estimation

KW - Quantum Fisher information

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U2 - 10.1016/j.physleta.2016.10.050

DO - 10.1016/j.physleta.2016.10.050

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VL - 381

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

The influence of non-Gaussian noise on the accuracy of parameter estimation

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