  Quantum simulation of materials is a promising application area of quantum
computers. In order to realize this promise, finding ways to reduce quantum
resources while maintaining the accuracy of results will be necessary. In
electronic structure calculations on classical computer the reduction of
resources has been achieved by using the projector augmented-wave method (PAW)
and plane wave basis sets. In this work, we present an implementation of the
PAW with plane waves for quantum computation of the energy. We first generalize
the approach to many-body wavefunctions and develop the unitary version of the
PAW which preserves the orthonormality of orbitals. Then, we provide a
linear-combination-of-unitaries decomposition which explicitly accounts for the
atomic two-body PAW correction and provide the corresponding block encodings of
the Hamiltonian used in qubitized quantum phase estimation. We then estimate
quantum resources for crystalline solids using down-sampling to estimate the
energy within chemical accuracy with respect to the full basis set limit, and
also consider a supercell approach which is more suitable for calculations of
defect states. We provide the quantum resources for energy estimation of a
nitrogen-vacancy defect centre in diamond which is a challenging system for
classical algorithms and a quintessential problem in the studies of quantum
point defects.
