  We develop a mapping of quantum steady-state nonequilibrium to an effective
equilibrium and solve the problem using a quantum simulation technique. A
systematic implementation of the nonequilibrium boundary condition in
steady-state is made in the electronic transport on quantum dot structures.
This formulation of quantum manybody problem in nonequilibrium enables the use
of existing numerical quantum manybody techniques. The algorithm coherently
demonstrates various transport behaviors from phonon-dephasing to I-V staircase
and phonon-assisted tunneling.
