Dyson maps and unitary evolution for Maxwell equations in tensor dielectric media

The propagation and scattering of electromagnetic waves in dielectric media is theoretical experimental interest a wide variety fields. An understanding observational results generally requires numerical solution Maxwell equations---usually implemented on conventional computers using sophisticated algorithms. In recent years, advances quantum information science the development have piqued curiosity about taking advantage these resources for an alternate approach to equations. This reformulation classical equations into form suitable which, unlike computers, are limited unitary operations. this paper, framework developed spatially inhomogeneous, passive, nondispersive, anisotropic medium. For such medium, generally, evolution operator combined Faraday-Ampere not unitary. There two steps needed convert equation equation. first step, weighted Hilbert space formulated which generator dynamics pseudo-Hermitian operator. second Dyson map constructed maps weighted-physical-Hilbert original space. resulting wave fields Utilizing steps, derived uniaxial computing.