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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, 14:30-16:00Room: 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
- Continuous Optimization
- Programming, Semidefinite
- Interior Point Methods
Status: accepted
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