An improved quantum projection filter

Qing Gao, Guofeng Zhang, Ian R. Petersen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (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 languageEnglish
Article number108716
Pages (from-to)1-9
Number of pages9
JournalAutomatica
Volume112
DOIs
Publication statusPublished - 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

Cite this