  Quantum computers hold promise to improve the efficiency of quantum
simulations of materials and to enable the investigation of systems and
properties more complex than tractable at present on classical architectures.
Here, we discuss computational frameworks to carry out electronic structure
calculations of solids on noisy intermediate scale quantum computers using
embedding theories, and we give examples for a specific class of materials,
i.e., spin defects in solids. These are promising systems to build future
quantum technologies, e.g., computers, sensors and devices for quantum
communications. Although quantum simulations on quantum architectures are in
their infancy, promising results for realistic systems appear to be within
reach.
