The role of topology in quantum tomography

@article{Kech2015TheRO,
  title={The role of topology in quantum tomography},
  author={Michael Kech and P{\'e}ter Vrana and Michael M. Wolf},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2015},
  volume={48}
}
We investigate quantum tomography in scenarios where prior information restricts the state space to a smooth manifold of lower dimensionality. By considering stability we provide a general framework that relates the topology of the manifold to the minimal number of binary measurement settings that is necessary to discriminate any two states on the manifold. We apply these findings to cases where the subset of states under consideration is given by states with bounded rank, fixed spectrum, given… 

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