Novel Approaches to Pervasive Applications Nested Local Adiabatic Evolution for Quantum-Neuron-Based Adaptive Support Vector Regression and Its Application

Instead of traditionally (globally) adiabatic evolution algorithm for unstructured search, we focus on the structured adiabatic quantum search by nesting a partial search over a reduced set of variables into a global search for solving an optimization problem on adaptive support vector regression (ASVR) yielding an average complexity of order radicn^alpha, with alpha<1, compared with a quadratic speedup of order radicN over a naive Grover 's search.