Greenberger-Horne-Zeilinger states and few-body Hamiltonians

Details Greenberger-Horne-Zeilinger states and few-body Hamiltonians Greenberger-Horne-Zeilinger states and few-body Hamiltonians

2011-05-03

arxiv.org/abs/1105.0587v1

Physical Review Letters 107 (2011) 260502

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.107.260502

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. In general, degeneracy cannot be avoided if the Hamiltonian contains m-body interaction terms with m<=2 and a number of qubits strictly larger than 4. As an application, we explicitly construct a two-body 4-qubit Hamiltonian and a three-body 5-qubit Hamiltonian that exhibit a GHZ as a nondegenerate eigenstate.

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