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A question whether there exists an interaction between the spins of theendohedral atom $A$@C$_{60}$ and the properties of the confining shell whichmight affect the alignment of, or manipulation by, the spins for building aregister for a quantum computer is discussed. It is argued that an effect,termed the `C$_{60}$ spin-charging' effect, can occur in endohedral atoms andwould affect the operation of a quantum register. The effect is exemplified bychoosing the $\rm 3d$ (Cr and Mn) and $\rm 4d$ (Mo and Tc) transition metalatoms as well as a rare-earth Eu atom as the case study. A class of high-spinatoms which are less suitable for building a quantum register is, thus,identified.

`C$_{60}$ spin-charging' with an eye on a quantum computer