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Quantum Information Processing
Published in: Quantum Information Processing 1/2020

01-01-2020

Optimal estimation of parameters for scalar field in an expanding spacetime exhibiting Lorentz invariance violation

Authors: Xiaobao Liu, Jiliang Jing, Jieci Wang, Zehua Tian

Published in: Quantum Information Processing | Issue 1/2020

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Abstract

We address the optimal estimation of quantum parameters, in the framework of local quantum estimation theory, for a massive scalar quantum field in the expanding Robertson–Walker universe exhibiting Lorentz invariance violation (LIV). We find that, in the estimation of cosmological parameters, the ultimate bounds to the precision of the Lorentz-invariant massive scalar field can be improved due to the effects of LIV under some appropriate conditions. We also show that, in the Lorentz-invariant massive scalar field and massless scalar field due to LIV backgrounds, the optimal precision can be achieved by choosing the particles with some suitable LIV, cosmological and field parameters. Moreover, in the estimation of LIV parameter during the spacetime expansion, we prove that the appropriate momentum mode of field particles and larger cosmological parameters can provide us a better precision.
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Metadata
Title
Optimal estimation of parameters for scalar field in an expanding spacetime exhibiting Lorentz invariance violation
Authors
Xiaobao Liu
Jiliang Jing
Jieci Wang
Zehua Tian
Publication date
01-01-2020
Publisher
Springer US
Published in
Quantum Information Processing / Issue 1/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2524-y

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