



01091nas a2200145   4500008004100000245005500041210005500096260001500151490000800166520066600174100002300840700002400863700002100887856003700908       2019                        eng d00aQuantum Algorithm for Simulating the Wave Equation0 aQuantum Algorithm for Simulating the Wave Equation  c03/24/20190 v99 3 a<p><span style="font-family: &quot;Lucida Grande&quot;, helvetica, arial, verdana, sans-serif; font-size: 14.4px;">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 algorithms as subroutines. It relies on factorizations of discretized Laplacian operators to allow for improved scaling in truncation errors and improved scaling for state preparation relative to general purpose linear differential equation algorithms. We also consider using Hamiltonian simulation for Klein-Gordon equations and Maxwell&#39;s equations.</span></p>1 aCosta, Pedro, C.S.1 aJordan, Stephen, P.1 aOstrander, Aaron  uhttps://arxiv.org/abs/1711.05394