paper

Structured Adiabatic Quantum Search

arXiv:quant-ph/0208065

Abstract

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.

12 pages, no figures

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