  Two-dimensional (2D) materials for their versatile band structures and
strictly 2D nature have attracted considerable attention over the past decade.
Graphene is a robust material for spintronics owing to its weak spin-orbit and
hyperfine interactions, while monolayer 2H-transition metal dichalcogenides
(TMDs) possess a Zeeman effect-like band splitting in which the spin and valley
degrees of freedom are nondegenerate. Monolayer 1T'-TMDs are 2D topological
insulators and are expected to host Majorana zero modes when they are placed in
contact with S-wave superconductors. Single electron transport as well as the
superconductor proximity effect in these materials are viable for use in both
conventional quantum computing and fault-torrent topological quantum computing.
In this chapter, we review a selection of theoretical and experimental studies
addressing the issues mentioned above. We will focus on: (1) the confinement
and manipulation of charges in nanostructures fabricated from graphene and
2H-TMDs (2) 2D materials-based Josephson junctions for possible superconducting
qubits (3) the quantum spin Hall states in 1T'-TMDs and their topological
properties. We aim to outline the current challenges and suggest how future
work will be geared towards developing quantum computing devices in 2D
materials.
