Excited State Search Using Quantum Annealing

Quantum annealing (QA) is one of the ways finding ground states problem Hamiltonians. We initially apply transverse fields corresponding to a driver Hamiltonian and adiabatically change obtain target state. However, for some purposes such as quantum chemistry, both excited are needed understand properties molecules. Here, we describe scheme based on QA search arbitrary By splitting degeneracy with inhomogeneous fields, can prepare nondegenerate state initial state, an adiabatic provides long condition holds. also show that our enables us find desired by designing suitably even in presence weak decoherence. These results important chemistry post-quantum cryptography.