We propose the use of phonon–mediated interactions as an entanglement resource to engineer Einstein–Podolsky–Rosen (EPR) correlations and to perform teleportation of collective spin states in two–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.

BT - Submitted N2 -We propose the use of phonon–mediated interactions as an entanglement resource to engineer Einstein–Podolsky–Rosen (EPR) correlations and to perform teleportation of collective spin states in two–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.

PY - 2024 T2 - Submitted TI - Generating Einstein--Podolsky--Rosen correlations for teleporting collective spin states in a two dimensional trapped ion crystal UR - https://arxiv.org/abs/2405.19536 ER -