10 papers
Mathematical Foundation for Quantum Computing of Electromagnetic Wave Propagation in Dielectric Media
Abhay K. Ram, Efstratios Koukoutsis, George Vahala +1
Can quantum computers effectively simulate the propagation and scattering of electromagnetic waves in a classical plasma? This chapter introduces some of the basic concepts in math…
Symplectic perspective to quantum computing for Hamiltonian systems
Efstratios Koukoutsis, Kyriakos Hizanidis, Lucas I Inigo Gamiz +4
This work develops a symplectic framework for quantum computing to be applied to classical Hamiltonian systems, exploiting the intrinsic geometric compatibility between unitary qua…
Quantum Computing Framework for Transient Scattering of Electromagnetic Waves by Dielectric Structures
Min Soe, Abhay K. Ram, Efstratios Koukoutsis +3
Quantum computers are ideally set up to solve linear systems which are of a form similar to the Schrodinger/Dirac equation of quantum mechanics. In the framework of linear response…
Transient fields in oblique scattering from an infinite planar dielectric interface -- a qubit lattice simulation
Min Soe, George Vahala, Linda Vahala +3
An initial value algorithm is utilized to examine the time dependent evolution of the electromagnetic fields arising from oblique scattering of bounded pulses from an infinite plan…
Qubit Lattice Algorithm Simulations of the Scattering of a Bounded Two Dimensional Electromagnetic Pulse from an Infinite Planar Dielectric Interface
Min Soe, George Vahala, Linda Vahala +3
Qubit lattice algorithm (QLA) simulations are performed for a two-dimensional (2D) spatially bounded pulse propagating onto a plane interface between two dielectric slabs. QLA is a…
A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics
Efstratios Koukoutsis, George Vahala, Min Soe +3
Simulating nonlinear classical dynamics on a quantum computer is an inherently challenging task due to the linear operator formulation of quantum mechanics. In this work, we provid…