Alexander Leong
I'm a software engineer based in Brisbane, Australia. My interests are in mathematical optimization and numerical methods for engineering and science. I code only in Julia in my spare time.
Session
This talk explores algebraic methods for quantum control polynomial optimization problems. We show how degeneracy, numerical stability and scalability are central issues in quantum control and how ConicSolve.jl has been extended to use face reduction and symmetry reduction (via the Wedderburn decomposition).
We close with open questions and further work so such tools may become a practical reality. We hope that this work acts as a foundation for further research, new tools and methods for realizing quantum control systems where certification and high precision are paramount.