An overview of Quantum Cellular Automata

Understand

Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G.

• Moreover the global evolution G is required to be causal (it propagates information at a bounded speed) and translation-invariant (it acts everywhere the same).
• Quantum cellular automata provide a model/architecture for distributed quantum computation.
• More generally, they encompass most of discrete-space discrete-time quantum theory.