Conserved and Relaxing Modes Enable Polynomial-Success Coherent Carleman Lattice Boltzmann Evolution

The paper targets quantum simulation of nonlinear lattice Boltzmann collision dynamics in the fluid domain. It proposes a quantum Carleman lattice Boltzmann scheme based on a multi-relaxation-time collision operator expressed in a weighted Hermite moment basis. The approach is designed to improve the likelihood of coherent multi-step evolution relative to existing population-space encodings with low postselection probabilities.