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We provide a quantum algorithm for simulating the dynamics of sparse Hamiltonians with complexity sublogarithmic in the inverse error, an exponential improvement over previous methods.
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Edward Farhi, Jeffrey Goldstone, and Sam Gutmann, A quantum algorithm for the Hamiltonian NAND tree , Theory of Computing 4
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Andrew M. Childs, Richard Cleve, Stephen P. Jordan, and David Yonge-Mallo, Discrete-query quantum algorithm for NAND trees , Theory of Computing 5
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