Path-entangling evolution and quantum gravitational interaction

@article{Matsumura2022PathentanglingEA,
  title={Path-entangling evolution and quantum gravitational interaction},
  author={Akira Matsumura},
  journal={Physical Review A},
  year={2022}
}
We explore a general feature of the interaction mediated by the gravitational fields of spatially superposed masses. For this purpose, based on quantum information theory, we characterize the evolution of two particles each in a superposition state of paths. The evolution is assumed to be given by a completely positive trace-preserving (CPTP) map. We further assume that the probability of particle being on each path is unchanged during the evolution. This property is called population-preserving… 
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