A finite linear map admits an autonomous GKSL realization exactly when it is invertible and power bounded, demonstrated on a complete D2Q9 lattice Boltzmann timestep.
For an off-diagonal monomial δfiδfj, the coefficient includes the two symmetric bilinear contributions before being stored once
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Autonomous Lindblad Realizability of Nonunitary Linear Dynamics with a Carleman Lattice Boltzmann Application
A finite linear map admits an autonomous GKSL realization exactly when it is invertible and power bounded, demonstrated on a complete D2Q9 lattice Boltzmann timestep.