The discrete/continuous analog would cellular automata and PDEs respectively. Essentially, even if interaction is taking place, the hope is that such a regula

The discrete/continuous analog would cellular automata and PDEs respectively. Essentially, even if interaction is taking place, the hope is that such a regular and patterned formation could keep the qbits you care about, in perfect shape. There may be other interacting factors that oscillate but they are not used for storage, just for nonvolatility.