Quantum Lattice Representation for the Curl Equations of Maxwell Equations

Abstract

A quantum lattice representation (QLA) is devised for the initial value problem of one-dimensional (1D) propagation of an electromagnetic disturbance in a scalar dielectric medium satisfying directly only the two curl equations of Maxwell. It si found that only 4 qubits/node are required. The collision, streaming, and potential operators are determined so as to recover the two curl equations to second order. Both polarizations are considered.

11 pages, 10 figures

References in corpus (2)

• Reflection and transmission of electromagnetic pulses at a planar dielectric interface -- theory and quantum lattice simulations
• An efficient and accurate quantum algorithm for the Dirac equation

Cited by in corpus (5)

• Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media
• Quantum Computing Perspective for Electromagnetic Wave Propagation in Cold Magnetized Plasmas
• A quantum algorithm for the linear Vlasov equation with collisions
• A new matrix representation of the Maxwell equations based on the Riemann-Silberstein-Weber vector for a linear inhomogeneous medium
• The effect of the width of the incident pulse to the dielectric transition layer in the scattering of an electromagnetic pulse -- a quantum lattice algorithm simulation