4 papers
Rank-Dependent Error Bounds and Near-Optimality in Quantum Control via Hierarchical Tucker Surrogates
Nahid Binandeh Dehaghani, Rafal Wisniewski, Julian Berberich +1
We develop a certified finite-horizon quantum optimal-control framework based on fixed-rank Hierarchical Tucker (HT) surrogates. Under a uniform rank-dependent HT truncation-accura…
Noise Resilience and Robust Convergence Guarantees for the Variational Quantum Eigensolver
Mirko Legnini, Julian Berberich
Variational Quantum Algorithms (VQAs) are a class of hybrid quantum-classical algorithms that leverage on classical optimization tools to find the optimal parameters for a paramete…
Model predictive quantum control: A modular approach for efficient and robust quantum optimal control
Eya Guizani, Julian Berberich
Model predictive control (MPC) is one of the most successful modern control methods. It relies on repeatedly solving a finite-horizon optimal control problem and applying the begin…
Robust feedback-based quantum optimization: analysis of coherent control errors
Mirko Legnini, Julian Berberich
The Feedback-based Algorithm for Quantum Optimization (FALQON) is a Lyapunov inspired quantum algorithm proposed to tackle combinatorial optimization problems. In this paper, we ex…