  We investigate the quantum dynamics of a spin chain that implements a quantum
analog of Conway's game of life. We solve the time-dependent Schr\"odinger
equation starting with initial separable states and analyse the evolution of
quantum correlations across the lattice. We report examples of evolutions
leading to all-entangled chains and/or to time oscillating entangling
structures and characterize them by means of entanglement and network measures.
The quantum patterns result to be quite different from the classical ones, even
in the dynamics of local observables. A peculiar instance is a structure
behaving as the quantum analog of a blinker, but that has no classical
counterpart.
