Reducing the adiabatic error via boundary cancellation method

The adiabatic theorem for open systems is at the core of realistic implementations of adiabatic quantum computing. I will show that the adiabatic error can be reduced by engineering the system's Hamiltonian alone irrespective of the bath. Surprisingly there is an asymmetry with the analogous result for unitary evolution. The origin of such asymmetry must be traced back, ultimately, to the arrow of time which is inherent in a Lindbladian description of a system.