25 citations · 53 across the 16 of their papers we have counts for
17 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…
Quantum Monte Carlo Simulations for predicting electron-positron pair production via the linear Breit-Wheeler process
Lucas I. Iñigo Gamiz, Óscar Amaro, Efstratios Koukoutsis +1
Quantum computing (QC) has the potential to revolutionise the future of scientific simulations. To harness the capabilities that QC offers, we can integrate it into hybrid quantum-…
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…
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…
Space Time Algebra Formulation of Cold Magnetized Plasmas
Kyriakos Hizanidis, Efstratios Koukoutsis, Panagiotis Papagiannis +2
The propagation and scattering of electromagnetic waves in magnetized plasmas in a state where a global mode has been established or is in turbulence, are of theoretical and experi…
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 Lattice Representation of Nonlinear Classical Physics
Min Soe, George Vahala, Linda Vahala +3
Using the Madelung transformation on a generalized scalar Gross-Pitaevski equation, a nonlinear continuum fluid equations are derived for a classical fluid. A unitary quantum latti…
Quantum Computing Perspective for Electromagnetic Wave Propagation in Cold Magnetized Plasmas
Efstratios Koukoutsis, Kyriakos Hizanidis, George Vahala +3
Electromagnetic waves are an inherent part of all plasmas -- laboratory fusion plasmas or astrophysical plasmas. The conventional methods for studying properties of electromagnetic…
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…
Qubit Lattice Algorithm Simulations of Maxwell's Equations for Scattering from Anisotropic Dielectric Objects
George Vahala, Min Soe, Linda Vahala +3
A Dyson map explicitly determines the appropriate basis of electromagnetic fields which yields a unitary representation of the Maxwell equations in an inhomogeneous medium. A qubit…
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…
Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media
Efstratios Koukoutsis, Kyriakos Hizanidis, Abhay K. Ram +1
A reformulation of Maxwell equations for an inhomogeneous, anisotropic, passive and non-dispersive medium results in a quantum-like Dirac equation that admits unitary time evolutio…