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Local adiabatic quantum search with different paths

2003/09/28 by Recep Eryigit, Eryigit, Recep, Yigit Gunduc +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0309201

8 pages, 3 figures

arxiv created 2004/08/16 · arxiv updated 2009/12/01

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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