Quantum projection filtering

Zheng Tian Wu, Qing Gao, Guofeng Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


All right reserved. A quantum filter extracts the optimal estimate of quantum system states from the past history of weak continuous measurements on a quantum system by using the quantum Bayesian theory. However, the online computation burden of a quantum filter increases quadratically along with the increase of the quantum system dimension. We propose a quantum projection filtering method, aiming to reduce the online computation burden of the quantum filter. By using a differential geometric approach, the trajectory of the resulting quantum filter is constrained to be evolving within a finite-dimensional differentiable submanifold. In other words, the quantum state can be calculated through online calculation of the coordinate system of this submanifold. Simulation results from a two-level quantum system demonstrate the effectiveness of the proposed method.
Original languageEnglish
Pages (from-to)1494-1499
Number of pages6
JournalKongzhi Lilun Yu Yingyong/Control Theory and Applications
Issue number11
Publication statusPublished - 1 Nov 2017


  • Differentiable manifold
  • Exponential quantum projection filter
  • Open quantum systems
  • Quantum filter
  • State estimation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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