Polynomial Optimization for Quantum Control

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Abstract
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Quantum optimal control is fundamental for implementing high-fidelity gates, preparing quantum states, and understanding the limits of quantum technologies. Conventional methods are based on local optimization that can struggle to find global solutions, especially when including constraints or working with many-body systems. To address these limitations, we have developed a polynomial optimization perspective on quantum optimal control, a framework that aims at finding global solutions of complicated optimization landscapes, and obtaining rigorous bounds on what can be physically implemented with controlled quantum systems. I will start with an overview of how polynomial optimization works, where it has been mainly used in quantum physics, and how we are using it for quantum control, focusing on optimal control and reachability certificates.

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About the Speaker
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I completed by bachelor and master studies in Mathematics and Physics at the University of Manchester and the National University of Singapore. Currently I am a PhD student part of the TENORS network working on quantum optimal control using tools like polynomial optimization and tensor networks. I started my PhD in Prague, working with Jakub Mareček mainly on quantum optimal control, using different techniques (POP and TNs). In my second year of PhD I have been in Toulouse, working with Didier Henrion and Milan Korda and focusing on polynomial optimization and exploiting tensor network structures.