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    Full-Counting Statistics and Quantum Information of Dispersive Readout with a Squeezed Environment

    Ming Li1,2, JunYan Luo3, Gloria Platero4, and Georg Engelhardt5,*

    • *Contact author: georg-engelhardt-research@outlook.com

    Phys. Rev. Lett. 136, 143601 – Published 6 April, 2026

    DOI: https://doi.org/10.1103/2s1m-y9bd

    Abstract

    Motivated by the importance of dispersive readout in quantum technology, we study a prototypical dispersive readout setup that is probed by a squeezed vacuum in a time-reversal-symmetric fashion. To this end, we develop a full-counting-statistics framework for dispersive readout and analyze its measurement information, accompanied by a generalized mean-field approach suitable to deal with nonunitary dynamics. Distinct from conventional input-output theory, our full-counting-statistics approach enables the direct calculation of arbitrary-order cumulants for the measured cumulative (i.e., time-integrated) photonic distribution while maintaining applicability to nonlinear systems. The corresponding Fisher information exhibits an exponential dependence on the squeezing parameter and a robustness against residual nonlinearity, which can even approach the quantum Fisher information, setting an upper limit. This Letter introduces a conceptually streamlined and computationally efficient framework for continuous quantum measurements, making it well suited for widespread adoption in quantum technologies.

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