5 citations · 11 across the 11 of their papers we have counts for
7 papers · 1 filter
On the numerical limitations of dual Koopman von Neumann embeddings for solving conservative nonlinear ordinary differential equations on quantum computers
Thibault Fredon, Abhay K. Ram, Fabrice Debbasch +2
The simulation of nonlinear ordinary differential equations on quantum computers is inherently challenging, as quantum gates are linear operators on qubit states. In this paper, we…
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…
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…
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…
A Quantum Walk Inspired Qubit Lattice Algorithm for Simulating Electromagnetic Wave Propagation and Scattering in Conservative and Dissipative Magnetized Plasmas
Efstratios Koukoutsis, Kyriakos Hizanidis, George Vahala +4
Based on the Dirac representation of Maxwell equations we present an explicit, discrete space-time, quantum walk-inspired algorithm suitable for simulating the electromagnetic wave…