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arXiv · 2104.13485

On stability of quantum trajectories and their Cesaro mean

Nina H. Amini·Maël Bompais·Clément Pellegrini
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Abstract

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 this limit equals to one meaning that quantum filters are stable. In the general case, under an identifiability and a spectral assumption we show that the limit of the Cesaro mean of the estimated trajectory is the same as the true one.

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Nina H. Amini, Maël Bompais, Clément Pellegrini. 2021-04-27. On stability of quantum trajectories and their Cesaro mean. https://doi.org/10.1088/1751-8121%2Fac1909

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