Feedback stabilization via a quantum projection filter

• URL: http://arxiv.org/abs/2405.07379v1
• Date: Sun, 12 May 2024 21:32:26 GMT
• Title: Feedback stabilization via a quantum projection filter
• Authors: Nina H. Amini, Paolo Mason, Ibrahim Ramadan,
• Abstract summary: This paper considers a model of open quantum systems undergoing imperfect measurements obtained via a projection filter approach. We use this approximate filter in the feedback stabilization problem specifically in the case of Quantum Non-Demolition (QND) measurements.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This paper considers a simplified model of open quantum systems undergoing imperfect measurements obtained via a projection filter approach. We use this approximate filter in the feedback stabilization problem specifically in the case of Quantum Non-Demolition (QND) measurements. The feedback design relies on the structure of the exponential family utilized for the projection process. We demonstrate that the introduced feedback guarantees exponential convergence of the original filter equation toward a predefined target state, corresponding to an eigenstate of the measurement operator.

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