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

TL;DR

This paper explores the computational advantages of a long-step path-following algorithm for solving complex optimization problems in quantum information theory, demonstrating significant speed improvements in quantum key distribution applications.

Contribution

It introduces and applies a long-step path-following algorithm to quantum information problems, showing enhanced efficiency over existing methods.

Findings

Faster solution times for quantum key distribution optimization problems

Broad applicability to complex quantum information optimization tasks

Demonstrated computational efficiency improvements

Abstract

We consider some important computational aspects of the long-step path-following algorithm developed in our previous work and show that a broad class of complicated optimization problems arising in quantum information theory can be solved using this approach. In particular, we consider one difficult and important optimization problem in quantum key distribution and show that our method can solve problems of this type much faster in comparison with (very few) available options.