NON-EQUILIBRIUM STATISTICAL DISTRIBUTION, PROJECT GREEN FUNCTIONS AND STABILIZING QUANTUM COMPUTING FOR OPEN SYSTEM
Bi Qiao, XIAOJING YAO, Bin Gu, Harry E. Ruda · International Journal of Modern Physics B · 2004
Using the kinetic equation of subdynamics and the suitable time ordering rule we present a type of irreversible Liouville equation and nonlinear Liouville equation for open quantum systems. We also found a spectral relation for obtaining the non-equilibrium statistical distribution based on the boundary conditions which consistent with H theorem. Furthermore, a formalism of non-equilibrium project Green functions is given, and a non-perturbative method to solve the irreversible Liouville equation is studied. Finally, we give a model of spin-based quantum computing to show that the decoherence free states can be constructed using the non-perturbative approach.