Efficient Approximation of Quantum Channel Capacities

@article{Sutter2014EfficientAO,
  title={Efficient Approximation of Quantum Channel Capacities},
  author={David Sutter and Tobias Sutter and Peyman Mohajerin Esfahani and Renato Renner},
  journal={IEEE Transactions on Information Theory},
  year={2014},
  volume={62},
  pages={578-598}
}
We propose an iterative method for approximating the capacity of classical-quantum channels with a discrete input alphabet and a finite-dimensional output under additional constraints on the input distribution. Based on duality of convex programming, we derive explicit upper and lower bounds for the capacity. To provide an additive ε-close estimate to the capacity, the presented algorithm requires O((N ν M)M3 log(N)1/2ε-1) steps, where N denotes the input alphabet size and M denotes the output… 

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