  We review the present state of the art in using the endohedral fullerenes
N@C60 and P@C60 as qubits in a spin quantum computer. After a brief
introduction to spin quantum computing, we first discuss the rich spin
structure of these endohedral fullerenes and specific theoretical proposals for
architectures and operation models leading to a scalable quantum computer. We
then briefly discuss those aspects of materials science that are needed to
realize the proposed architectures. The central part of this chapter is a
review of quantum operations and entanglement realized with endohedral
fullerenes. Finally, we review efforts to realize single spin detection of
endohedral fullerenes and conclude with a brief outlook on outstanding problems
to be solved for obtaining a scalable quantum register.
