25 citations · 53 across the 16 of their papers we have counts for
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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…
Quantum implementation of non-unitary operations with biorthogonal representations
Efstratios Koukoutsis, Panagiotis Papagiannis, Kyriakos Hizanidis +5
Motivated by the contemporary advances in quantum implementation of non-unitary operations, we propose a new dilation method based on the biorthogonal representation of the non-uni…
Quantum simulation of dissipation for Maxwell equations in dispersive media
Efstratios Koukoutsis, Kyriakos Hizanidis, Abhay K. Ram +1
In dispersive media, dissipation appears in the Schrödinger representation of classical Maxwell equations as a sparse diagonal operator occupying an -dimensional subspace. A fir…
Qubit Lattice Algorithms based on the Schrodinger-Dirac representation of Maxwell Equations and their Extensions
George Vahala, Min Soe, Efstratios Koukoutsis +3
It is well known that Maxwell equations can be expressed in a unitary Schrodinger-Dirac representation for homogeneous media. However, difficulties arise when considering inhomogen…
Some Comments on Unitary Qubit Lattice Algorithms for Classical Problems
Paul Anderson, Lillian Finegold-Sachs, George Vahala +5
: A qubit lattice algorithm (QLA), which consists of a set of interleaved unitary collision-streaming operators, is developed for electromagnetic wave propagation in…