Conditioning of Quantum Open Systems

Research output: Chapter in Book/Report/Conference proceedingChapter


The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The time-order in which physical observables are measured will be important if they are incompatible (non-commuting). In particular, the notion of conditioning needs to be handled with care and may not even exist in some cases. Here we layout the quantum probabilistic formulation in terms of von Neumann algebras and outline conditions (non-demolition properties) under which filtering may occur.
Original languageEnglish
Title of host publication Encyclopedia of Systems and Control
EditorsJohn Baillieul, Tariq Samad
PublisherSpringer Nature
Publication statusPublished - 2020


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