English

Quantum Covariance and Filtering

Mathematical Physics 2022-05-25 v1 math.MP Quantum Physics

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.

Keywords

Cite

@article{arxiv.2205.10797,
  title  = {Quantum Covariance and Filtering},
  author = {John E. Gough},
  journal= {arXiv preprint arXiv:2205.10797},
  year   = {2022}
}

Comments

43 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1804.09086

R2 v1 2026-06-24T11:24:41.506Z