Theoretical framework for quantum networks

@article{Chiribella2009TheoreticalFF,
  title={Theoretical framework for quantum networks},
  author={Giulio Chiribella and Giacomo Mauro D’Ariano and Paolo Perinotti},
  journal={Physical Review A},
  year={2009},
  volume={80},
  pages={022339}
}
We present a framework to treat quantum networks and all possible transformations thereof, including as special cases all possible manipulations of quantum states, measurements, and channels, such as, e.g., cloning, discrimination, estimation, and tomography. Our framework is based on the concepts of quantum comb---which describes all transformations achievable by a given quantum network---and link product---the operation of connecting two quantum networks. Quantum networks are treated both… 

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