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Discrete adiabatic quantum computation with quadric variation

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3 Author(s)
Mohamed El-fiky ; Department of Biomedical Engineering and Information Science, Graduate School of Science and Engineering, Kagoshima University, Japan ; Satoshi Ono ; Shigeru Nakayama

Quantum adiabatic algorithm is a method of solving computational problems by evolving the ground state with a slowly varying Hamiltonian to reach the required output state. This paper proposes a new variation method for the phase functions, quadric variation method. The experiments are carried out solving random instances of 3-SAT problems with three variation methods: linear, cubic, and quadric. The experiment's result has revealed that the overall search costs with the quadric variation are less than those for other methods with higher probability of finding the solutions on average.

Published in:

Nature and Biologically Inspired Computing (NaBIC), 2010 Second World Congress on

Date of Conference:

15-17 Dec. 2010