We propose the use of phonon-mediated interactions as an entanglement resource to engineer Einstein-Podolsky-Rosen 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 - Physical Review Research DA - 2025-04 DO - 10.1103/PhysRevResearch.7.L022019 IS - 2 N2 -We propose the use of phonon-mediated interactions as an entanglement resource to engineer Einstein-Podolsky-Rosen 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 - 2025 EP - L022019 T2 - Physical Review Research TI - Generating Einstein--Podolsky--Rosen correlations for teleporting collective spin states in a two dimensional trapped ion crystal UR - https://link.aps.org/doi/10.1103/PhysRevResearch.7.L022019 VL - 7 ER -