202 citations · 911 across the 7 of their papers we have counts for
Showing 2017 · quant-phShow all
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quant-ph2017★ 162 cited
Quantum Algorithm for Simulating the Wave Equation
Pedro C. S. Costa, Stephen Jordan, Aaron Ostrander
We present a quantum algorithm for simulating the wave equation under Dirichlet and Neumann boundary conditions. The algorithm uses Hamiltonian simulation and quantum linear system…
quant-ph2017★ 202 cited
Quantum algorithm for linear differential equations with exponentially improved dependence on precision
Dominic W. Berry, Andrew M. Childs, Aaron Ostrander +1
We present a quantum algorithm for systems of (possibly inhomogeneous) linear ordinary differential equations with constant coefficients. The algorithm produces a quantum state tha…