Globally controlled universal quantum computation with arbitrary   subsystem dimension
  We introduce a scheme to perform universal quantum computation in quantum cellular automata (QCA) fashion in arbitrary subsystem dimension (not necessarily finite). The scheme is developed over a one spatial dimension $N$-element array, requiring only mirror symmetric logical encoding and global pulses. A mechanism using ancillary degrees of freedom for subsystem specific measurement is also presented. 
G. A. Paz-Silva, G.K. Brennen, J. Twamley