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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 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
Journal	Automatica
Volume	112
DOIs	https://doi.org/10.1016/j.automatica.2019.108716
Publication status	Published - Feb 2020

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10.1016/j.automatica.2019.108716

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title = "An improved quantum projection filter",

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.",

keywords = "Quantum filters, Quantum information geometry, Quantum projection filters, Stratonovich stochastic Taylor expansions",

author = "Qing Gao and Guofeng Zhang and Petersen, {Ian R.}",

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year = "2020",

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doi = "10.1016/j.automatica.2019.108716",

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AU - Zhang, Guofeng

AU - Petersen, Ian R.

PY - 2020/2

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N2 - 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.

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.

KW - Quantum filters

KW - Quantum information geometry

KW - Quantum projection filters

KW - Stratonovich stochastic Taylor expansions

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M3 - Article

SN - 0005-1098

VL - 112

JO - Automatica

JF - Automatica

M1 - 108716

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An improved quantum projection filter

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