  A typical imaging scenario requires three basic ingredients: 1. a light
source that emits light, which in turn interacts and scatters off the object of
interest; 2. detection of the light being scattered from the object and 3. a
detector with spatial resolution. These indispensable ingredients in typical
imaging scenarios may limit their applicability in the imaging of biological or
other sensitive specimens due to unavailable photon-starved detection
capabilities and inevitable damage induced by interaction. Here, we propose and
experimentally realize a quantum imaging protocol that alleviates all three
requirements. By embedding a single-photon Michelson interferometer into a
nonlinear interferometer based on induced coherence and harnessing single-pixel
imaging technique, we demonstrate interaction-free, single-pixel quantum
imaging of a structured object with undetected photons. Thereby, we push the
capability of quantum imaging to the extreme point in which no interaction is
required between object and photons and the detection requirement is greatly
reduced. Our work paves the path for applications in characterizing delicate
samples with single-pixel imaging at silicon-detectable wavelengths.
