https://doi.org/10.1140/epjp/s13360-023-03659-1
Regular Article
Single-photon-added coherent state-based measurement transition and its advantages in precision measurement
1
School of Physics Science and Technology, Xinjiang University, 830046, Urumqi, Xinjiang, China
2
School of Physics and Electronic Engineering, Xinjiang Normal University, 830054, Urumqi, Xinjiang, China
Received:
20
July
2022
Accepted:
3
January
2023
Published online:
23
January
2023
In this work, the measurement transition as well as precision measurement advantages of single-photon-added coherent state after postselected von Neumann measurement are investigated. We noticed that the weak-to-strong measurement transition characterized by the shifts of pointer’s position and momentum variables occurred in continuously by controlling a dimensionless parameter associated with system–pointer coupling. We calculate the ratio between the signal-to-noise ratios of non-postselected and postselected measurements, and the latter is used to find the quantum Fisher information. We found that the single-photon-added coherent pointer state can improve the precision of the measurement processes such as signal-to-noise ratio and parameter estimation after postselected von Neumann measurement characterized by postselection and weak value. Furthermore, contrary to the results of several previous studies, we found that the anomalous large weak values cannot improve the precision measurement processes related to single-photon-added coherent state.
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