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Gaussian interferometric power in the localized two-mode Gaussian states

  • 01-08-2019
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Abstract

With localized two-mode Gaussian quantum states in a relativistic setting, we study how to use the Gaussian interferometric power, which is given by the minimum quantum Fisher information, to guarantee the precision of the estimation of the Unruh temperature. We note that the interferometric power will be reduced with increase in the Unruh temperature because the Unruh radiation acts as a thermal bath on the probe state and it will destroy available quantum resources. By comparing the interferometric power with the entanglement, we also find that the larger squeezing parameter, the more similar the variation of entanglement and interferometric power. The maximum value of entanglement and interferometric power appears in the same condition. That is, for the states with larger entanglement, we can get higher precision of estimation. Moreover, we find that the interferometric power remains nonzero even for high Unruh temperature. This reflects the robust behavior of the Gaussian interferometric power against thermal noises.

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Title
Gaussian interferometric power in the localized two-mode Gaussian states
Authors
Yue Fang
Xiaobao Liu
Jieci Wang
Zehua Tian
Jiliang Jing
Publication date
01-08-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2359-6
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