Single-photon-added coherent state-based measurement transition and its advantages in precision measurement
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
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.