Cost analysis of weak versus strong continuous measurements in quantum systems
The central aim of this work is to quantify fundamental energy costs of a quantum measurement. To do so, we analyze a minimal model of quantum measurement involving the steps of relevance for the thermodynamic and energetic properties. We describe measurements where partial or complete information is extracted from the system of interest, spanning from weak to strong measurements, and varying in detection efficiency from fully efficient to highly inefficient. Our model involves the measured quantum system, S, and an ancilla, A,which is used to extract information about the primary system