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Trapped Ion Quantum Computing

Optimal Binary Codes and Measurements for Classical Communication over Qubit Channels

arXiv
Authors: Nicola Dalla Pozza, Nicola Laurenti, Francesco Ticozzi

Year

2013

Paper ID

8313

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

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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  • 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...

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