  Adiabatic quantum transistors allow quantum logic gates to be performed by
applying a large field to a quantum many-body system prepared in its ground
state, without the need for local control. The basic operation of such a device
can be viewed as driving a spin chain from a symmetry protected phase to a
trivial phase, and this perspective offers an avenue to generalise the
adiabatic quantum transistor and to design several improvements. The
performance of quantum logic gates is shown to depend only on universal
symmetry properties of a symmetry-protected phase rather than fine tuned parent
Hamiltonians, and it is possible to implement a universal set of logic gates in
this way by combining several different types of symmetry protected matter.
Such symmetry-protected adiabatic quantum transistors are argued to be robust
to a range of relevant noise processes.
