Ultimate precision of joint parameter estimation under noisy Gaussian
environment
- URL: http://arxiv.org/abs/2203.09847v1
- Date: Fri, 18 Mar 2022 10:36:15 GMT
- Title: Ultimate precision of joint parameter estimation under noisy Gaussian
environment
- Authors: Bakmou Lahcen and Daoud Mohammed
- Abstract summary: In some specifics quantum protocols without environmental noise, the ultimate sensitivity of a multiparameter quantum estimation can beat the standard quantum limit.
We focus on a general two-mode mixed squeezed displaced thermal state, after reducing it to various Gaussian probes states.
We find that when the entangled states, two-mode pure squeezed vacuum and two-mode mixed squeezed thermal, are employed as probes states, the upper and bottom bound of HCRB beats the standard quantum limit in the presence of a noisy environment.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The major problem of multiparameter quantum estimation theory is to find an
ultimate measurement scheme to go beyond the standard quantum limits that each
quasi-classical estimation measurement is limited by. Although, in some
specifics quantum protocols without environmental noise, the ultimate
sensitivity of a multiparameter quantum estimation can beat the standard
quantum limit. However, the presence of noise imposes limitations on the
enhancement of precision due to the inevitable existence of environmental
fluctuations. Here, we address the motivation behind the usage of Gaussian
quantum resources and their advantages in reaching the standard quantum limits
under realistic noise. In this context, our work aims to explore the ultimate
limits of precision for the simultaneous estimation of a pair of parameters
that characterize the displacement channel acting on Gaussian probes and
subjected to open dynamics. More precisely, we focus on a general two-mode
mixed squeezed displaced thermal state, after reducing it to various Gaussian
probes states, like; a two-mode pure squeezed vacuum, two-mode pure displaced
vacuum, two-mode mixed displaced thermal, two-mode mixed squeezed thermal. To
study the ultimate estimation precision, we evaluate the upper and bottom bound
of HCRB in various cases. We find that when the entangled states, two-mode pure
squeezed vacuum and two-mode mixed squeezed thermal, are employed as probes
states, the upper and bottom bound of HCRB beats the standard quantum limit in
the presence of a noisy environment.
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