Model robustness for feedback stabilization of open quantum systems

• URL: http://arxiv.org/abs/2205.01961v2
• Date: Thu, 28 Jul 2022 17:20:35 GMT
• Title: Model robustness for feedback stabilization of open quantum systems
• Authors: Weichao Liang, Nina H. Amini
• Abstract summary: This paper generalizes results in [30] concerning feedback stabilization of target states for N-level quantum angular momentum systems. We show that this analysis provides necessary tools to ensure feedback stabilization based on a simplified filter whose state is a N-dimensional vector.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper generalizes the results in [30] concerning feedback stabilization of target states for N-level quantum angular momentum systems undergoing quantum non-demolition measurements (QND) in absence of the knowledge about initial states and parameters. Here we consider multiple measurement operators and study the stabilization toward a chosen target subspace which is a common eigenspace of measurement operators. Under the QND conditions, we show that this analysis provides necessary tools to ensure feedback stabilization based on a simplified filter whose state is a N-dimensional vector. A numerical analysis has been proposed in [18]. This paper provides a complete proof for the use of a simplified filter in feedback stabilization. This has important practical use as the dimension of quantum systems is usually high. This paper opens the way toward a complete proof concerning the robustness of a stabilizing feedback with respect to approximate filters, which is lacking.

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