Local adiabatic quantum search with different paths

Local adiabatic quantum search with different paths

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 si...

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Bibliographic Details
Main Authors: Eryigit, Recep, Gunduc, Yigit, Eryigit, Resul
Format: Journal Article
Language:English
Published: 28-09-2003
Subjects:
Physics - Quantum Physics
Online Access:Get full text
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Summary: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.
DOI:10.48550/arxiv.quant-ph/0309201