# Operator Theory and Polynomial Optimization in Quantum Information Theory

#### 828. WE-Heraeus-Seminar

11 Mar - 14 Mar 2025

Where:

Physikzentrum Bad Honnef

Scientific organizers:

Prof. Dr. Marc-Olivier Renou, Inria Paris-Saclay & CPHT • Prof. Dr. Mariami Gachechiladze, TU Darmstadt • Prof. Dr. Igor Klep, U Ljubljana

Quantum Information Theory is a rapidly growing field with far stemming foundational results (e.g., the Bell theorem) and applications (e.g. quantum cryptography and computing). While the complexity of technologically feasible protocols increases, the theoretical understanding of quantum devices capabilities is lagging behind.

Quantum correlations are central for the foundations of Quantum Information Theory, and for many of its applications. However, their characterisation is challenging. Existing mathematical and algorithmic approaches, based on operator theory and non-commutative polynomial optimization, are not adapted to some recent theoretical, experimental and technological developments in quantum physics, specifically for quantum network correlations. In recent years, this challenge has attracted researchers from quantum theory, operator theory, polynomial optimization and mathematical physics. While some progress has been made in each of these fields, a compartmented approach of each community cannot work.

The goal of our Operator Theory and Polynomial Optimization in Quantum Information Theory seminar is to bring together world leading experts and promising early-career researchers to unlock these mathematical barriers. The seminar will make the mathematical approaches from the operator theory and advanced tools from polynomial optimization available to quantum information researchers.

The conference language will be English. The Wilhelm and Else Heraeus-Foundation bears the cost of full-board accommodation for all participants.