What are the implications of quantum no-go theorems, such as the no-cloning theorem, for the design and functionality of quantum cellular automata?

Quantum no-go theorems, like the no-cloning theorem, impose fundamental constraints on the design and functionality of quantum cellular automata. The no-cloning theorem prohibits the creation of identical copies of arbitrary quantum states, which affects how information can be duplicated and propagated within QCA. Designers must ensure that QCA rules respect these constraints, often requiring sophisticated mechanisms to manage information flow and state transitions without violating quantum principles.