92 citations · 175 across the 17 of their papers we have counts for
18 papers
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…
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 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…
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…
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
G. Vahala, L. Vahala, A. K. Ram +1
The effect of the thickness of the dielectric boundary layer that connects a material of refractive index to another of index is considered for the propagation of an el…
Quantum Lattice Representation for the Curl Equations of Maxwell Equations
George Vahala, John Hawthorne, Linda Vahala +2
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…
Two Dimensional Electromagnetic Scattering form Dielectric Objects using Qubit Lattice Algorithm
G. Vahala, M. Soe, L. Vahala +1
A qubit lattice algorithm (QLA) is developed for Maxwell equations in a two-dimensional Cartesian geometry. In particular, the initial value problem of electromagnetic pulse scatte…
Reflection and transmission of electromagnetic pulses at a planar dielectric interface -- theory and quantum lattice simulations
Abhay K. Ram, George Vahala, Linda Vahala +1
There is considerable interest in the application of quantum information science to advance computations in plasma physics. Many of the topics in fusion plasma physics are classica…
The Effect of the Pauli Spin Matrices on the Quantum Lattice Algorithm for Maxwell Equations in Inhomogeneous Media
George Vahala, Linda Vahala, Min Soe +1
A quantum lattice algorithm (QLA) is developed for the solution of Maxwell equations in scalar dielectric media using the Riemann-Silberstein representation. For x-dependent and y-…
Unitary Quantum Lattice Simulations for Maxwell Equations in Vacuum and in Dielectric Media
George Vahala, Linda Vahala, Min Soe +1
Utilizing the similarity between the spinor representation of the Dirac equation and the Maxwell equations that has been recognized since the early days of relativistic quantum mec…
A unitary quantum lattice gas algorithm for two dimensional quantum turbulence
Bo Zhang, George Vahala, Linda Vahala +1
Quantum vortex structures and energy cascades are examined for two dimensional quantum turbulence (2D QT) at zero temperature. A special unitary evolution algorithm, the quantum la…
Poincare recurrence and intermittent loss of quantum Kelvin wave cascades in quantum turbulence
George Vahala, Jeffrey Yepez, Linda Vahala +3
The evolution of the ground state wave function of a zero-temperature Bose-Einstein condensate (BEC) is well described by the Hamiltonian Gross-Pitaevskii (GP) equation. Using a se…
Superfluid turbulence from quantum Kelvin wave to classical Kolmogorov cascades
Jeffrey Yepez
A novel unitary quantum lattice gas algorithm is used to simulate quantum turbulence of a BEC described by the Gross-Pitaevskii equation on grids up to 5760^3. For the first time,…