Quantum mechanics and data assimilation.

  title={Quantum mechanics and data assimilation.},
  author={Dimitrios Giannakis},
  journal={Physical review. E},
  volume={100 3-1},
A framework for data assimilation combining aspects of operator-theoretic ergodic theory and quantum mechanics is developed. This framework adapts the Dirac-von Neumann formalism of quantum dynamics and measurement to perform sequential data assimilation (filtering) of a partially observed, measure-preserving dynamical system, using the Koopman operator on the L^{2} space associated with the invariant measure as an analog of the Heisenberg evolution operator in quantum mechanics. In addition… 

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