If neutral atoms can be trapped in ultra-high vacuum and moved around dynamically with lasers to interact with any other atom, why do we bother with static, hard-wired superconducting circuits? Why hasn't this "perfect" all-to-all connectivity already won the quantum race?
The answer lies in the harsh realities of atomic physics: Moving atoms in a vacuum is inherently lossy, and forcing them to interact is painfully slow.
Neutral atoms do not inherently interact with each other at large distances because they have no net electrical charge. To perform computation, we must temporarily inflate their electron clouds to macroscopic sizes, creating giant "Rydberg atoms" that feel each other's presence.