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A quantum search algorithm based on partial adiabatic evolution
Authors:Zhang Ying-Yu  Hu He-Ping  Lu Song-Feng
Affiliation:School of Computer Science, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:This paper presents and implements a specified partial adiabatic search algorithm on a quantum circuit. It studies the minimum energy gap between the first excited state and the ground state of the system Hamiltonian and it finds that, in the case of M=1, the algorithm has the same performance as the local adiabatic algorithm. However, the algorithm evolves globally only within a small interval, which implies that it keeps the advantages of global adiabatic algorithms without losing the speedup of the local adiabatic search algorithm.
Keywords:quantum search  adiabatic evolution  quantum circuit
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