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Local adiabatic quantum search with different paths

Recep Eryigit·Yigit Gunduc·Resul Eryigit
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Abstract

We report on a detailed analysis of generalization of the local adiabatic search algorithm. Instead of evolving directly from an initial ground state Hamiltonian to a solution Hamiltonian a different evolution path is introduced and is shown that the time required to find an item in a database of size $N$ can be made to be independent of the size of the database by modifying the Hamiltonian used to evolve the system.

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Recep Eryigit, Yigit Gunduc, Resul Eryigit. 2004-08-16. Local adiabatic quantum search with different paths. https://arxiv.org/abs/quant-ph/0309201

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