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Greenberger-Horne-Zeilinger States and Few-Body Hamiltonians
The generation of Greenberger-Horne-Zeilinger (GHZ) states is a crucial problem in quantum information. We derive general conditions for obtaining GHZ states as eigenstates of a Hamiltonian. We find that a necessary condition for an $n$-qubit GHZ state to be a nondegenerate eigenstate of a Hamiltonian is the presence of $m$-qubit …