A pedagogical review unifying photodetection, homodyne, and heterodyne monitoring of a decaying qubit via a single Kraus-operator framework that is equivalent to the stochastic master equation.
An Introduction to Quantum Filtering
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abstract
The following notes are based on lectures delivered at the research school Modeling and Control of Open Quantum Systems (Mod\'{e}lisation et contr\^{o}le des syst\`{e}mes quantiques ouverts) at CIRM, Marseille, 16-20 April, 2018, as part of the Trimester \textit{Measurement and Control of Quantum Systems: Theory and Experiments} organized at Institut Henri Poincar\'{e}, Paris, France. The aim is to introduce quantum filtering to an audience with a background in either quantum theory or classical filtering.
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Measuring Fluorescence to Track a Quantum Emitter's State: A Theory Review
A pedagogical review unifying photodetection, homodyne, and heterodyne monitoring of a decaying qubit via a single Kraus-operator framework that is equivalent to the stochastic master equation.