  Experimental systems with power-law interactions have recently garnered
interest as promising platforms for quantum information processing. Such
systems are capable of spreading entanglement superballistically and achieving
an asymptotic speed-up over locally interacting systems. Recently, protocols
developed by Eldredge et al. [Phys. Rev. Lett. 119, 170503 (2017)] and Tran et
al. [Phys. Rev. X 11, 031016 (2021)] for the task of transferring a quantum
state between distant particles quickly were shown to be optimal and saturate
theoretical bounds. However, the implementation of these protocols in physical
systems with long-range interactions remains to be fully realized. In this
work, we provide an experimental roadmap towards realizing fast state-transfer
protocols in three classes of atomic and molecular systems with dipolar
interactions: polar molecules composed of alkali-metal dimers, neutral atoms in
excited Rydberg states, and atoms with strong magnetic moments (e.g.
dysprosium). As a guide to near-term experimental implementation, we
numerically evaluate the tradeoffs between the two protocols for small system
sizes and develop methods to address potential crosstalk errors that may arise
during the execution of the protocols.
