Exact quantum circuits for a lattice Boltzmann realization of the Dirac equation
This research shows how to exactly simulate a quantum lattice Boltzmann (QLB) scheme for a four-component Dirac spinor on a lattice using quantum gates. The scheme involves rotating, colliding, and streaming the field distribution. The authors provide complete gate-level constructions for all operations, proving the QLB method is exactly representable in a gate model without approximation.