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We consider some important computational aspects of the long-steppath-following algorithm developed in our previous work and show that a broadclass of complicated optimization problems arising in quantum informationtheory can be solved using this approach. In particular, we consider onedifficult and important optimization problem in quantum key distribution andshow that our method can solve problems of this type much faster in comparisonwith (very few) available options.

Long-Step Path-Following Algorithm for Quantum Information Theory: Some Numerical Aspects and Applications