  A universal quantum computing scheme, with a universal set of logical gates,
is proposed based on networks of 1D quantum systems. The encoding of
information is in terms of universal features of gapped phases, for which
effective field theories such as sine-Gordon field theory can be employed to
describe a qubit. Primary logical gates are from twist, pump, glue, and shuffle
operations that can be realized in principle by tuning parameters of the
systems. Our scheme demonstrates the power of 1D quantum systems for robust
quantum computing.
