  Presented are several example quantum computing representations of quantum
systems with a relativistic energy relation. Basic unitary representations of
free Dirac particles and BCS superconductivity are given. Then, these are
combined into a novel unitary representation of a Fermi condensate superfluid.
The modeling approach employs an operator splitting method that is an
analytically closed-form product decomposition of the unitary evolution
operator, applied in the high-energy limit. This allows the relativistic wave
equations to be cast as unitary finite-difference equations. The split
evolution operators (comprising separate kinetic and interaction energy
evolution terms) serve as quantum lattice gas models useful for efficient
quantum simulation.
