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arXiv · 1909.13524

An Improved Quantum Projection Filter

Qing Gao·Guofeng Zhang·Ian R. Petersen
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Abstract

This work extends the previous quantum projection filtering scheme in [Gao Q., Zhang G., & Petersen I. R. (2019). An exponential quantum projection filter for open quantum systems. \emph{Automatica}, 99, 59-68.], by adding an optimality analysis result. A reformulation of the quantum projection filter is derived by minimizing the truncated Stratonovich stochastic Taylor expansion of the difference between the true quantum trajectory and its approximation on a lower-dimensional submanifold through quantum information geometric techniques. Simulation results for a qubit example demonstrate better approximation performance for the new quantum projection filter.

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Qing Gao, Guofeng Zhang, Ian R. Petersen. 2019-09-30. An Improved Quantum Projection Filter. https://arxiv.org/abs/1909.13524

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