  We propose the use of phonon$\unicode{x2013}$mediated interactions as an
entanglement resource to engineer
Einstein$\unicode{x2013}$Podolsky$\unicode{x2013}$Rosen (EPR) correlations and
to perform teleportation of collective spin states in
two$\unicode{x2013}$dimensional ion crystals. We emulate continuous variable
quantum teleportation protocols between subsystems corresponding to different
nuclear spin degrees of freedom. In each of them, a quantum state is encoded in
an electronic spin degree of freedom that couples to the vibrational modes of
the crystal. We show that high fidelity teleportation of spin-coherent states
and their phase-displaced variant, entangled spin-squeezed states, and Dicke
states, is possible for realistic experimental conditions in arrays from a few
tens to a few hundred ions.
