Structured Adiabatic Quantum Search

Physics – Quantum Physics

Scientific paper

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12 pages, no figures

Scientific paper

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.

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