TY - JOUR T1 - Quantum Algorithm for Simulating the Wave Equation JF - Phys. Rev. A Y1 - 2019 A1 - Pedro C.S. Costa A1 - Stephen P. Jordan A1 - Aaron Ostrander AB -

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's equations.

VL - 99 UR - https://arxiv.org/abs/1711.05394 CP - 012323 U5 - https://doi.org/10.1103/PhysRevA.99.012323 ER -