Induced dipole-dipole forbidden transitions in rare-earth elements and their prospects for quantum information processing

In this paper we discuss the prospects of quantum information processing involving forbidden transitions in the inner shell of the rare-earth elements. We shall derive the selection rule for such transitions and investigate the prospects for rare-earth based quantum information procession that employ dipole-dipole forbidden transitions. The long decoherence time, degree of entanglement, lossless interconnectivity of these transitions will be model and their impact on quantum information processing will be examined.