We show that a local Hamiltonian of spin-3/2 particles with only two-body
nearest-neighbor Affleck-Kennedy-Lieb-Tasaki and exchange-type interactions has
an unique ground state, which can be used to implement universal quantum
computation merely with single-spin measurements. We prove that the Hamiltonian
is gapped, independent of the system size. Our result provides a further step
towards utilizing systems with condensed matter-type interactions for
measurement-based quantum computation.Comment: 5 pages, 3 figure