Greenberger-Horne-Zeilinger states and few-body Hamiltonians
arXiv:1105.0587 · doi:10.1103/PhysRevLett.107.260502
Abstract
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.
4 pages
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- Exploring Many-body Interactions Through Quantum Fisher Information
- Surface Entanglement in Quantum Spin Networks
- Lattice-enabled detection of spin-dependent three-body interactions
- Quantifying High-Order Interdependencies in Entangled Quantum States
- Multipartite entanglement and few-body Hamiltonians
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