Performance Bounds for Quantum Feedback Control

F Holtorf, F Schäfer, J Arnold… - … on Automatic Control, 2024 - ieeexplore.ieee.org
The limits of quantum feedback control have immediate consequences for quantum
information science at large, yet remain largely unexplored. Here, we combine quantum …

Performance Bounds for Quantum Control

F Holtorf, F Schäfer, J Arnold, C Rackauckas… - arXiv preprint arXiv …, 2023 - arxiv.org
Quantum feedback controllers often lack performance targets and optimality certificates. We
combine quantum filtering theory and moment-sum-of-squares techniques to construct a …

On moment relaxations for linear state feedback controller synthesis with non-convex quadratic costs and constraints

D Gramlich, S Gao, H Zhang, CW Scherer… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a simple and effective way to account for non-convex costs and constraints~ in~
state feedback synthesis, and an interpretation for the variables in which state feedback …

Sum-of-Squares Bounds for Quantum Optimal Control

F Holtorf, F Schäfer, J Arnold… - 2023 IEEE …, 2023 - ieeexplore.ieee.org
The precise control of devices on the quantum scale is crucial for all quantum computing
applications. The limitations of quantum control are therefore of great interest to those …

Bounds and Low-Rank Approximation for Controlled Markov Processes

F Holtorf - 2024 - dspace.mit.edu
Stochastic processes have captivated scientific interest by balancing conceptual simplicity
with the ability to model complex, poorly understood, or even entirely unknown phenomena …