Quantum search by partial adiabatic evolution

Abstract

A quantum search algorithm based on the partial adiabatic evolutionTulsi2009 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(N/M), of the local adiabatic search algorithmRoland2002, to O(N/M).

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