  Ultrastrongly coupled quantum hardware may increase the speed of quantum
state processing in distributed architectures, allowing to approach
fault-tolerant threshold. We show that circuit QED architectures in the
ultrastrong coupling regime, which has been recently demonstrated with
superconductors, may show substantial speedup for a class of adiabatic
protocols resilient to the main source of errors, namely the interplay of
dynamical Casimir effect and cavity losses.
