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According to the quantum adiabatic theorem, we can in principle obtain a truevacuum of a quantum system starting from a trivial vacuum of a simpleHamiltonian. In actual adiabatic digital quantum simulation with finite timelength and non-infinitesimal time steps, we can only obtain an approximatevacuum that is supposed to be a superposition of a true vacuum and excitedstates. We propose a procedure to improve the approximate vacuum.

Improving approximate vacuum prepared by the adiabatic quantum computation