Exploring adiabatic quantum trajectories via optimal control

摘要: Adiabatic quantum computation employs a slow change of time-dependent control function (or functions) to interpolate between an initial and final Hamiltonian, which helps keep the system in instantaneous ground state. When evolution time is finite, degree adiabaticity (quantified this work as average ground-state population during evolution) depends on particulars dynamic trajectory associated with given set functions. We use optimal theory composite objective functional numerically search for controls that achieve target state high fidelity while simultaneously maximizing adiabaticity. Exploring properties adiabatic trajectories model systems elucidates mechanisms suppress unwanted excitations from Specifically, we discover multiple functions makes it possible access rich trajectories, some attain significantly improved performance (in terms both adiabaticity) through increase energy gap most time.