27 citations · 150 across the 17 of their papers we have counts for
17 papers
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…