Local Hamiltonians for Maximally Multipartite Entangled States
P. Facchi, G. Florio, S. Pascazio, F. Pepe

TL;DR
This paper explores how to design short-range interacting Hamiltonians that have maximally multipartite entangled states as their unique eigenstates, focusing on small qubit systems.
Contribution
It identifies specific Hamiltonians for small qubit systems that have MMES as non-degenerate eigenstates, advancing understanding of entanglement in quantum many-body systems.
Findings
Examples of Hamiltonians with MMES as eigenstates for 3 to 5 qubits
Conditions for obtaining non-degenerate eigenstates with maximal multipartite entanglement
Insights into short-range interaction Hamiltonians for entanglement engineering
Abstract
We study the conditions for obtaining maximally multipartite entangled states (MMES) as non-degenerate eigenstates of Hamiltonians that involve only short-range interactions. We investigate small-size systems (with a number of qubits ranging from 3 to 5) and show some example Hamiltonians with MMES as eigenstates.
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