While it can be useful in some cases to abstract away all but 2 levels of the atoms used for quantum computing, it should not be forgotten that these qubit hosts often have many levels capable of participating in processing tasks. These include long-lived states within hyperfine, Zeeman, and electronic-state structure in atoms, but extend to rotational, vibrational, and more exotic level landscapes if one considers molecules instead of just atoms. Given the effectively atom-limited regime in which many (possibly all) atomic processors currently operate, I will pose the question of how can more-flexible encodings that utilize beyond-qubit levels improve the computational power of these devices.
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