  While adiabatic quantum computing (AQC) has some robustness to noise and
decoherence it is widely believed that encoding, error suppression and error
correction will be required to scale AQC to large problem sizes. Previous works
have established at least two different techniques for error suppression in
AQC. In this paper we derive a model for describing the dynamics of encoded AQC
and show that previous constructions for error suppression can be unified with
this dynamical model. In addition the model clarifies the mechanisms of error
suppression and allow identification of its weaknesses. In the second half of
the paper we utilize our description of non-equilibrium dynamics in encoded AQC
to construct methods for error correction in AQC by cooling local degrees of
freedom (qubits). While this is shown to be possible in principle, we also
identify the key challenge to this approach: the requirement of high-weight
Hamiltonians. Finally, we use our dynamical model to perform a simplified
thermal stability analysis of concatenated-stabilizer-code encoded many-body
systems for AQC or quantum memories.
  This work is a companion paper to "\textit{Error suppression and error
correction in adiabatic quantum computation I: techniques and challenges}"
(Phys. Rev. X, 3, 041013 (2013)), which provides a quantum information
perspective on the techniques and limitations of error suppression and
correction in AQC. In this paper we couch the same results within a dynamical
framework, which allows for detailed analysis of the non-equilibrium dynamics
of error suppression and correction in encoded AQC.
