Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories

التفاصيل البيبلوغرافية
العنوان: Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories
المؤلفون: Amini, Nina H., Bompais, Maël, Pellegrini, Clément
سنة النشر: 2023
المجموعة: Mathematics
Mathematical Physics
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Mathematical Physics, Mathematics - Optimization and Control
الوصف: We show that quantum trajectories become exponentially fast supported by one of their minimal invariant subspaces. Exponential convergence is shown in expectation using Lyapunov techniques. The proof is based on an in-depth study of the identifiability of the probability distributions generated in the different subspaces. We furthermore introduce a feedback control strategy that allows for the targeted convergence towards a desired subspace. This convergence is also achieved at exponential speed.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2310.04599
رقم الأكسشن: edsarx.2310.04599
قاعدة البيانات: arXiv