The hybrid system of low-dimensional electronic and superconducting materials has been an attractive structure for studying mesoscopic transport and low-dimensional superconducting properties. Low-dimensional structures with strong spin-orbit coupling exhibit rich quantum phenomena combined with superconducting macroscopic quantum states, becoming an important platform for exploring novel physical properties and developing new topological quantum devices. The construction of hybrid superconducting devices based on high-quality one-dimensional electronic materials, and the exploration of quantum transport phenomena at the interface emerge as research frontier. It is crucial to understand the characteristic scattering mechanism and quantum transport process in these hybrid systems at the nanoscale. The study of the coupling mechanism between the charge state and the topological localized state, and the experimental probe of the intrinsic transport properties of the topological states are the key issues, which enable the development of the new principles and methods for novel superconducting nanoelectronic devices and topological quantum devices. Due to the competition of multiple energy scales and complicated bound states in these hybrid structures, the device physics and measurement schemes present unprecedented challenges. This paper reviews recent advances in hybrid superconducting devices based on one-dimensional electronic systems, focusing on the material systems based on semiconducting nanowires and carbon nanotubes. Semiconducting nanowires with strong spin-orbit coupling and large Landau $g$-factor are expected to support Majorana bound states and require further improvements in the material quality, interface between superconductors and nanowires, understanding of the transport mechanism, and detection scheme. The construction strategies of extending topological phase space, including broken symmetry, helical modes, semiconducting characteristics, and attenuation of the external magnetic field, are proposed and discussed in hybrid superconducting devices based on carbon nanotubes. We briefly introduce the main phenomena and experimental challenges, ranging from material and device physics. Finally, this paper summarizes and gives an outlook on the development and transport studies of topological quantum devices based on one-dimensional systems.
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