Abstract
Abstract : This document is the final report for AFOSR Grant FA9550-04-1-0176, Entropic Lattice Boltzmann Models and Quantum Computation. Under the terms of this grant, the Center for Quantum Algorithm Design in the Department of Mathematics at Tufts University conducted research on lattice Boltzmann models of hydrodynamics and on quantum lattice algorithms, with emphasis on understanding their interrelationship. We also investigated quantum random walks and the simplification of classical lattice models for hydrodynamics, with the intent of enabling their implementation on quantum computers. Finally, we investigated the applicability of these methods to the problem of turbulence using the dynamical zeta function formalism.
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