Abstract NbN-based detectors can detect light from the granular regime (single or few photons) up to weak continuous photon fluxes at wavelengths ranging from visible light up to mid-IR. The article reports our recent results on a novel linear detector, the waveguide-integrated hot electron bolometer (HEB) capable to measure photon fluxes of large coherent beams in a regime in which superconducting nanowire single photon detectors (SNSPDs) are not efficient due to their strong nonlinearity. SNSPDs, photon number resolving detectors and amplitude multiplexing readout schemes, all integrated on photonic circuits are also discussed in the paper. The compatibility of the integrated HEB detectors with the SNSPDs technology can allow the characterization of complex non classical states of light within the same chip.