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The ability to detect single photons has become increasingly essential due tothe rise of photon-based quantum computing. In this theoretical work, wepropose a system consisting of a quantum dot (QD) side-coupled to asuperconducting nanowire. The coupling opens a gap in both the QD mode and theMajorana zero mode (MZM) at the nanowire edge, enabling photon absorption inthe system. We show that the absorbed photoelectron decays via rapid(sub-nanosecond to nanosecond) nonradiative heat transfer to the nanowirephonon modes rather than by spontaneous emission. Furthermore, we calculate thetemperature increase and associated resistance increase induced by theabsorption of a photon for a given appropriate set of material andenvironmental parameters, yielding a temperature increase in the millikelvinrange and a resistance increase in the kiloohm range, vastly exceeding thephoton-absorption-induced temperature and resistance increases for competing2D-3D hybrid systems by 5 and 9 orders of magnitude, respectively. Lastly, wedetermine the detector efficiency and discuss the system density required fordeterministic photon number measurement, demonstrating that a photon absorptionprobability of over 99.9 percent can be achieved for an integrated systemconsisting of an array of nanowire-QD complexes on-chip inside a cavity. Ourresults thus provide a basis for a deterministic microwave photon numberdetector with an unprecedented photon-number-detection resolution.

Ultra-High-Precision Detection of Single Microwave Photons based on a Hybrid System between Majorana Zero Mode and a Quantum Dot