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State-Constrained Optimal Control for Coherence Preservation in Multi-Level Open Quantum Systems
Nahid Binandeh Dehaghani, A. Pedro Aguiar, Rafal Wisniewski
This paper addresses the optimal control of quantum coherence in multi-level systems, modeled by the Lindblad master equation, which captures both unitary evolution and environment…
Feedback-Based Quantum Algorithm for Constrained Optimization Problems
Salahuddin Abdul Rahman, Özkan Karabacak, Rafal Wisniewski
The feedback-based algorithm for quantum optimization (FALQON) has recently been proposed to solve quadratic unconstrained binary optimization problems. This paper efficiently gene…
State Estimation and Control for Stochastic Quantum Dynamics with Homodyne Measurement: Stabilizing Qubits under Uncertainty
Nahid Binandeh Dehaghani, A. Pedro Aguiar, Rafal Wisniewski
This paper introduces a Lyapunov-based control approach with homodyne measurement. We study two filtering approaches: (i) the traditional quantum filtering and (ii) a modified vers…
Lyapunov Densities For Markov Processes: An Application To Quantum Systems With Non-Demolition Measurements
Özkan Karabacak, Horia Cornean, Rafael Wisniewski
Stochastic convergence of discrete time Markov processes has been analysed based on a dual Lyapunov approach. Using some existing results on ergodic theory of Markov processes, it…