72 citations · 610 across the 64 of their papers we have counts for
3 papers · 2 filters
One-dimensional quantum cellular automata over finite, unbounded configurations
Pablo Arrighi, Vincent Nesme, Reinhard Werner
One-dimensional quantum cellular automata (QCA) consist in a line of identical, finite dimensional quantum systems. These evolve in discrete time steps according to a local, shift-…
Unitarity plus causality implies localizability
Pablo Arrighi, Vincent Nesme, Reinhard Werner
We consider a graph with a single quantum system at each node. The entire compound system evolves in discrete time steps by iterating a global evolution . We require that this g…
Intrinsically universal one-dimensional quantum cellular automata in two flavours
Pablo Arrighi, Renan Fargetton, Zizhu Wang
We give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one…