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Ion trap long-range XY model for quantum state transfer and optimal spatial search

Ion trap long-range XY model for quantum state transfer and optimal spatial search

Linear ion trap chains are a promising platform for quantum computation and simulation. The XY model with long-range interactions can be implemented with a single side-band Molmer-Sorensen scheme, giving interactions that decay as $1/r^\alpha$, where $\alpha$ parameterises the interaction range. Lower $\alpha$ leads to longer range interactions, allowing faster long-range …