Conditioning of Quantum Open Systems

John Gough

doi:10.1007/978-1-4471-5102-9

Conditioning of Quantum Open Systems

John Gough

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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 language	English
Title of host publication	Encyclopedia of Systems and Control
Editors	John Baillieul, Tariq Samad
Publisher	Springer Nature
DOIs	https://doi.org/10.1007/978-1-4471-5102-9
Publication status	Published - 2020

Keywords

active power control
automatic generation control
frequency regulation
grid balancing
grid integration
primary frequency control
wind energy

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10.1007/978-1-4471-5102-9

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KW - grid balancing

KW - grid integration

KW - primary frequency control

KW - wind energy

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Conditioning of Quantum Open Systems

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