Qubit lattice approximation of some quantum and classical physics problems

It is expected that quantum computers can provide exponential speedup over classical supercomputers for the solution of certain physics problems. We have been investigating the Qubit Lattice Approximation (QLA) for classical soliton collisions, for 2D and 3D quantum turbulence, and more recently for electromagnetic wave propagation in dielectric media. The QLA consists of a sequence of interleaved collision-streaming operators acting on a qubit set distributed on a lattice. The collision operators locally entangle the qubits at that particular lattice site, while the streaming operators move this entanglement throughout the lattice.