CaDS Seminar 2022 - Sep. 27

Dennis Willsch (Quantum Information Processing Group)

PIEP - The Parametrized Inverse Eigenvalue Problem: A journey aboutsolving an important problem in quantum physics

Abstract:
One of the most important problems in science is the inverse problem:the task to find a mathematical model that describes experimentalobservations. In quantum physics, a common inverse problem is to find aHamiltonian matrix, whose eigenvalues fit to frequencies observed inspectroscopy experiments. Mathematically, this inverse problem is aninstance of the so-called PIEP, the parameterized inverse eigenvalueproblem. In this talk, I report on my journey from solving the inverseproblem the hard way (using standard numerical optimization methodsfrom SciPy and TensorFlow) to solving it the optimal way using theknowledge gained from 70 years of research on the PIEP.