Quantum information science and engineering (QISE) which entails generation, control and manipulation of individual quantum mechanical states together with nanotechnology have dominated condensed matter physics and materials science research in the 21st century. Solid state devices for QISE have, to this point, predominantly been designed with bulk material as their constituents. In this review, we consider how nanomaterials or low-dimensional materials i.e. materials with intrinsic quantum confinement -may offer inherent advantages over conventional materials for QISE. We identify the materials challenges for specific types of qubits, and we identify how emerging nanomaterials may overcome these challenges. Challenges for and progress towards nanomaterials-based quantum devices are identified. We aim to help close the gap between the nanotechnology and quantum information communities and inspire research that will lead to next-generation quantum devices for scalable and practical quantum applications.