Structured Adiabatic Quantum Search
  We examine the use of adiabatic quantum algorithms to solve structured, or nested, search problems. We construct suitable time dependent Hamiltonians and derive the computation times for a general class of nested searches involving n qubits. As expected, we find that as additional structure is included, the Hamiltonians become more local and the computation times decrease. 
Daria Ahrensmeier, Saurya Das, Randy Kobes, Gabor Kunstatter and   Haitham Zaraket