Abstract: Josephson traveling-wave parametric amplifiers (J-TWPA) are a promising platform for new quantum optics experiments in the microwave domain. Recent experiments showed that a J-TWPA could generate broadband two-mode squeezing when excited by a strong classical pump. This indicates that it is possible to create non-classical states of light in these devices, but only when the non-linearity is enhanced by pumping with a large number of photons. The possibilities offered by superconducting circuits to engineer dispersion and non-linear interactions of such devices are interesting, as they could lead to single-photon non-linear interactions in traveling-wave devices. In this discussion, we will explore recent quantum optics experiments that aim to understand the generation of non-classical states of light in a J-TWPA. We will also highlight how these results offer exciting possibilities for the continuous generation of non-classical states of light in traveling-wave devices.