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    Quantum filtering formulation of the Diósi-Penrose model

    John E. Gough* and Dylon Rees†

    • *Contact author: jug@aber.ac.uk
    • †Contact author: dyr6@aber.ac.uk

    Phys. Rev. A 113, 042225 – Published 28 April, 2026

    DOI: https://doi.org/10.1103/945v-yvvk

    Abstract

    We consider the Diósi-Penrose problem but rather than postulating background gravitational fluctuations, we consider the quantum filter that arises from space-time homodyning the continuum of output quadrature described in the open quantum stochastic model presented here. This is described by a quantum Kushner-Stratonovich equation, typical of the form appearing in continuous-time collapse of the wave-function models in quantum decoherence theory.

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