EURO 2024 Copenhagen
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1999. Quantum relative entropy optimization

Invited abstract in session TD-38: Semidefinite Programming and implementations, Quantum Information Theory and other applications, stream Conic Optimization: Theory, Algorithms, and Applications.

Tuesday, 14:30-16:00
Room: 34 (building: 306)

Authors (first author is the speaker)

1. Hamza Fawzi
Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

Many problems in quantum information are formulated as convex optimization problems involving the quantum relative entropy function. These problems cannot be directly expressed as semidefinite programs. In this talk I will discuss various tools to deal with such optimization problems. In particular, I will present a self-concordant barrier with optimal parameter for the quantum relative entropy cone. This barrier function can be used with interior-point schemes to solve convex optimization problems with the quantum relative entropy function. Based on joint work with James Saunderson (arXiv:2205.04581).

Keywords

Status: accepted


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