arXiv 1007.15282010-07-09cs.DSquant-ph

Quantum search by partial adiabatic evolution

Ying-Yu Zhang, Song-Feng Lu

DOI：: 10.1103/PhysRevA.82.034304

英文摘要：

A quantum search algorithm based on the partial adiabatic evolution\cite{Tulsi2009} is provided. We calculate its time complexity by studying the Hamiltonian in a two-dimensional Hilbert space. It is found that the algorithm improves the time complexity, which is $O(\sqrt{N/M})$, of the local adiabatic search algorithm\cite{Roland2002}, to $O(\sqrt{N}/M)$.

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