An improved quantum projection filter

Qing Gao; Guofeng Zhang; Ian R. Petersen

doi:10.1016/j.automatica.2019.108716

An improved quantum projection filter

Qing Gao, Guofeng Zhang, Ian R. Petersen

Research output: Journal article publication › Journal article › Academic research › peer-review

17 Citations (Scopus)

Abstract

This work extends the previous quantum projection filtering scheme in Gao et al. (2019), 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.

Original language	English
Article number	108716
Pages (from-to)	1-9
Number of pages	9
Journal	Automatica
Volume	112
DOIs	https://doi.org/10.1016/j.automatica.2019.108716
Publication status	Published - Feb 2020

Keywords

Quantum filters
Quantum information geometry
Quantum projection filters
Stratonovich stochastic Taylor expansions

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

More information

10.1016/j.automatica.2019.108716

http://hdl.handle.net/10397/93308

Cite this

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AB - This work extends the previous quantum projection filtering scheme in Gao et al. (2019), 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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KW - Quantum information geometry

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KW - Stratonovich stochastic Taylor expansions

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An improved quantum projection filter

Abstract

Keywords

ASJC Scopus subject areas

More information

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