Photodetector figures of merit in terms of POVMs
نویسنده
چکیده
Aphotodetectormay be characterized by various figures ofmerit such as response time, bandwidth, dark count rate, efficiency, wavelength resolution, and photon-number resolution.On the other hand, quantum theory says that anymeasurement device is fully described by its positive-operatorvaluedmeasure (POVM)which generalizes the textbook notion of the eigenstates of the appropriate hermitian operator (the ‘observable’) asmeasurement outcomes.Herewe showhow to define a multitude of photodetector figures ofmerit in terms of a given POVM.Wedistinguish classical and quantumfigures ofmerit and issue a conjecture regarding trade-off relations between them.We discuss the relationship between POVMelements and photodetector clicks, and howmodels of photodetectorsmay be tested bymeasuring either POVMelements orfigures ofmerit. Finally, the POVM is advertised as a platform-independent way of comparing different types of photodetectors, since any such POVMrefers to theHilbert space of the incoming light, and not to anyHilbert space internal to the detector.
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