Optimal Binary Codes and Measurements for Classical Communication over Qubit Channels

Nicola Dalla Pozza; Nicola Laurenti; Francesco Ticozzi

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arXiv · 1307.0014

Optimal Binary Codes and Measurements for Classical Communication over Qubit Channels

Nicola Dalla Pozza·Nicola Laurenti·Francesco Ticozzi

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Abstract

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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Nicola Dalla Pozza, Nicola Laurenti, Francesco Ticozzi. 2014-01-08. Optimal Binary Codes and Measurements for Classical Communication over Qubit Channels. https://arxiv.org/abs/1307.0014

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