Experimental roadmap for optimal state transfer and entanglement generation in power-law systems

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, as shown in Eldredge et al. [Phys. Rev. Lett. 119, 1 (2017)] and Tran et al. [Phys. Rev. X 11, 031016 (2021)]. In this work, we provide an experimental roadmap towards realizing two protocols for transferring quantum states in subpolynomial time in three classes of atomic/molecular systems with dipolar interactions: polar molecules composed of alkali-metal dimers, neutral atoms in excited Rydberg states, and atoms with strong magnetic moments. As a guide to near-term experimental implementation, we numerically evaluate the tradeoffs between the two protocols for small system sizes and propose a method to address potential crosstalk errors that may arise during the execution of the protocols.