Local adiabatic quantum search with different paths

Details Local adiabatic quantum search with different paths Local adiabatic quantum search with different paths

2003-09-28

arxiv.org/abs/quant-ph/0309201v4

Physics

Quantum Physics

8 pages, 3 figures

Scientific paper

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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