Quantum Filtering for Linear Dynamical Quantum Systems

  • Hendra I. NurdinEmail author
  • Naoki Yamamoto
Part of the Communications and Control Engineering book series (CCE)


This chapter introduces quantum filtering theory as a quantum analogue of stochastic filtering theory. When applied to linear quantum systems, this leads to a quantum version of the Kalman filter. Concepts from quantum probability theory that are relevant to quantum filtering theory are introduced, including a suitable notion of quantum conditional expectations. The chapter also briefly introduces robust observers for linear quantum systems to deal with modeling uncertainties for the purpose of estimation.


Kalman Filter Conditional State Quantum Version Robust Observer Classical Probability Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Electrical Engineering and TelecommunicationsUNSW AustraliaSydneyAustralia
  2. 2.Department of Applied Physics and Physico-InformaticsKeio UniversityYokohamaJapan

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