Every step of the three-dimensional Dirac quantum lattice Boltzmann scheme is implemented as an exact quantum circuit that reproduces a classical solver to floating point precision.
Lattice Boltzmann method for quantum field theory.Journal of Physics A: Mathematical and Theoretical, 40(26):F559–F567, 2007
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Exact quantum circuits for lattice Boltzmann realization of the Dirac equation
Every step of the three-dimensional Dirac quantum lattice Boltzmann scheme is implemented as an exact quantum circuit that reproduces a classical solver to floating point precision.