Quantum Computation of Fluid Dynamics
Abstract
Presented is a quantum lattice gas for Navier-Stokes fluid dynamics simulation. The quantum lattice-gas transport equation at the microscopic scale is presented as a generalization of the classical lattice-gas transport equation. A special type of quantum computer network is pro posed that is suitable for implementing the quantum lattice gas. The quantum computer network undergoes a partial collapse of the wavefunction- at every time step of the dynamical evolution. Each quantum computer in the network comprises only a few qubits, which are entangled for only a short time period. A Chapman-Enskogg type analysis of the quantum computer network indicates that the total system of qubits behaves exactly like a viscous lattice-gas fluid at the macroscopic scale. Because of the quantum mechanical nature of the scattering process, superposition of outgoing collisional possibilities occurs. The quantum lattice gas obeys detail balance in its collisions and is therefore an unconditionally stable algorithm for fluid dynamics simulation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 16, 1998
- Accession Number
- ADA437298
Entities
People
- Jeffrey Yepez
Organizations
- Air Force Research Laboratory