Postselected von Neumann measurement with superpositions of orbital angular momentum pointer states
Phys. Rev. A 111, 063707 – Published 23 June, 2025
DOI: https://doi.org/10.1103/tnvf-nrq4
Abstract
We investigated an orbital-angular-momentum (OAM) pointer within the framework of von Neumann measurement and discovered its significant impact on optimizing superpositions of Gaussian and Laguerre-Gaussian (LG) states. Calculations of quadrature squeezing, correlation functions, Wigner function, and the signal-to-noise ratio (SNR) support our findings. Specifically, by carefully selecting the anomalous weak value (WV) and the coupling strength between the measured system and the pointer, we demonstrated that the initial Gaussian state transforms into a non-Gaussian state after postselection measurement. We also noticed that in the weak coupling regime it is possible to get perfect quadrature squeezing of our output state with anomalous WVs. This transition highlights the potential of OAM pointer states to enhance the performance of quantum systems by tailoring state properties for specific applications.
