Quantum covariance and filtering

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Abstract

We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing on the quantum probabilistic framework and developing the ideas from the classical theory. Quantum covariances and conditional expectations on von Neumann algebras play an essential part in the presentation.
Original languageEnglish
Pages (from-to)262-273
Number of pages12
JournalAnnual Reviews in Control
Volume54
DOIs
Publication statusPublished - 02 Nov 2022

Keywords

  • Quantum filtering
  • Quantum Markovian systems
  • Quantum probability

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