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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 identifiabili
Externí odkaz:
http://arxiv.org/abs/2310.04599
Autor:
Bompais, Maël, Amini, Nina H.
We consider the question of asymptotic stability of quantum trajectories undergoing quantum non-demolition imperfect measurement, that is to say the convergence of the estimated trajectory towards the true trajectory whose parameters and initial stat
Externí odkaz:
http://arxiv.org/abs/2304.02462
A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an experimental
Externí odkaz:
http://arxiv.org/abs/2204.00343
We address the question of stability of quantum trajectories, also referred as quantum filters}. We determine the limit of the quantum fidelity between the true quantum trajectory and the {estimated one}. Under a purification assumption we show that
Externí odkaz:
http://arxiv.org/abs/2104.13485
Autor:
AMINI, NINA H.1 nina.amini@centralesupelec.fr, BOMPAIS, MAËL1 mael.bompais@centralesupelec.fr, PELLEGRINI, CLÉMENT2 clement.pellegrini@math.univ-toulouse.fr
Publikováno v:
SIAM Journal on Control & Optimization. 2024, Vol. 62 Issue 5, p2834-2857. 24p.
