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

^*Corresponding author for this work

School of Physics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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/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.

Original language	English
Pages (from-to)	216-220
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	381
Issue number	4
DOIs	https://doi.org/10.1016/j.physleta.2016.10.050
Publication status	Published - 30 Jan 2017

Keywords

Non-Gaussian noise
Parameter estimation
Quantum Fisher information

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10.1016/j.physleta.2016.10.050

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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\}",

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year = "2017",

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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

M3 - Article

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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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Keywords

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