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We describe a method to simulate Hamiltonian evolution on a quantum computer by repeatedly using a superposition of steps of a quantum walk, then applying a correction to the weightings for the numbers of steps of the quantum walk.
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D. W. Berry, A. M. Childs, R. Cleve, R. Kothari, and R. D. Somma, in Proceedings of the 46th ACM Symposium on Theory of Computing, pp. 283-292 (2014)
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