Conditioning of Quantum Open Systems

John E. Gough

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arXiv · 1907.11948

Conditioning of Quantum Open Systems

John E. Gough

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Abstract

The underlying probabilistic theory for quantum mechanics is non-Kolmogorovian. The order in which physical observables 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.

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John E. Gough. 2019-07-27. Conditioning of Quantum Open Systems. https://arxiv.org/abs/1907.11948

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