QCA uses tunneled q-bits to synthesize binary logic bits, this is a method for transistor, currentless and transient binary logic synthesis that provides a very high computational speed. This molecular binary logic synthesis technology works very fast with very low power, can operate at a maximum frequency of 15 MHz

I would say that there definitely is! You can find lots of good content on the wikipedia page:

https://en.wikipedia.org/wiki/Quantum_cellular_automaton

where there are plenty of references to the research literature on this topic (some papers by notable figures in quantum information have been written on this topic).

Although I do not think quantum cellular automata is an interesting topic, I wish to bring your attention to this paper:

Preprint Fermionic and bosonic quantum field theories from quantum ce...