4.3k citations · 13.4k across the 43 of their papers we have counts for
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quant-ph2013★ 214 cited
Exponential improvement in precision for simulating sparse Hamiltonians
Dominic W. Berry, Andrew M. Childs, Richard Cleve +2
We provide a quantum algorithm for simulating the dynamics of sparse Hamiltonians with complexity sublogarithmic in the inverse error, an exponential improvement over previous meth…
quant-ph2013★ 9 cited
Exponential improvement in precision for Hamiltonian-evolution simulation
Dominic W. Berry, Richard Cleve, Rolando D. Somma
We provide a quantum method for simulating Hamiltonian evolution with complexity polynomial in the logarithm of the inverse error. This is an exponential improvement over existing…