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arXiv · 1404.6176

Multipartite entanglement and few-body Hamiltonians

Francesco V. Pepe
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Abstract

We investigate the possibility to obtain higly multipartite-entangled states as nondegenerate eigenstates of Hamiltonians that involve only short-range and few-body interactions. We study small-size systems (with a number of qubits ranging from three to five) and search for Hamiltonians with a Maximally Multipartite Entangled State (MMES) as a nondegenerate eigenstate. We then find conditions, including bounds on the number of coupled qubits, to build a Hamiltonian with a Greenberger-Horne-Zeilinger (GHZ) state as a nondegenerate eigenstate. We finally comment on possible applications.

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Francesco V. Pepe. 2014-04-24. Multipartite entanglement and few-body Hamiltonians. https://doi.org/10.1142/s0219749914610036

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