  We describe a many-body quantum system which can be made to quantum compute
by the adiabatic application of a large applied field to the system. Prior to
the application of the field quantum information is localized on one boundary
of the device, and after the application of the field this information has
propagated to the other side of the device with a quantum circuit applied to
the information. The applied circuit depends on the many-body Hamiltonian of
the material, and the computation takes place in a degenerate ground space with
symmetry-protected topological order. Such adiabatic quantum transistors are
universal adiabatic quantum computing devices which have the added benefit of
being modular. Here we describe this model, provide arguments for why it is an
efficient model of quantum computing, and examine these many-body systems in
the presence of a noisy environment.
