Wednesday, July 3, 2013

1307.0014 (Nicola Dalla Pozza et al.)

Optimal Binary Codes and Measurements for Classical Communication over
Qubit Channels

Nicola Dalla Pozza, Nicola Laurenti, Francesco Ticozzi
We propose constructive approaches for the optimization of binary classical communication over a general noisy qubit quantum channel, for both the error probability and the classical capacity functionals. After showing that the optimal measurements are always associated to orthogonal projections, we construct a parametrization of the achievable transition probabilities via the coherence vector representation. We are then able to rewrite the problem in a form that can be solved by standard, efficient numerical algorithms and provides insights on the form of the solutions.
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