To be able to reveal ground state, we need to start with a simple Hamiltonian, then we need to evolve it to related complex Hamiltonian whose ground state keeps the solution.
If this evolution is slow enough, the system remains in the ground state. This slow evolution is named as "Quantum Adiabatic Evolution". Properties of AQC shows that Boolean satisfiability problem can be a suitable problem to be solved by AQC.
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