92 citations · 213 across the 20 of their papers we have counts for
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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…
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…
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,…