• Corpus ID: 203953167

No resource theory for non-Markovian channels?

@article{Jagadish2019NoRT,
  title={No resource theory for non-Markovian channels?},
  author={Vinayak Jagadish and R. Srikanth and Francesco Petruccione},
  journal={arXiv: Quantum Physics},
  year={2019}
}
Finite-time Markovian channels, unlike their infinitesimal counterparts, do not form a convex set, calling into question the possibility of a resource theory of non-Markovianity for channels. As a particular instance of this observation, we consider the problem of mixing the three Pauli channels, conservatively assumed to be quantum dynamical semigroups, and fully characterize the resulting "Pauli simplex". We show that neither the set of non-Markovian (CP-indivisble) nor Markovian channels is… 

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