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A qubit lattice algorithm (QLA) is developed for Maxwell equations in atwo-dimensional Cartesian geometry. In particular, the initial value problem ofelectromagnetic pulse scattering off a localized 2D dielectric object isconsidered. A matrix formulation of the Maxwell equations, using theRiemann-Silberstein-Weber vectors, forms a basis for the QLA and a possibleunitary representation. The electromagnetic fields are discretized using a16-qubit representation at each grid point. The discretized QLA equationsreproduce Maxwell equations to second order in an appropriate expansionparameter $\epsilon$. The properties of scattered waves depend on the scalelength of the transition layer separating the vacuum from the core of thedielectric. The time evolution of the fields gives interesting physical insightinto scattering when propagating fields are excited within the dielectricmedium. Furthermore, simulations show that the QLA recovers Maxwell equationseven when $\epsilon \sim 1$.

Two Dimensional Electromagnetic Scattering form Dielectric Objects using Qubit Lattice Algorithm