Hadley, C; Bose, S; (2008) Multilevel multiparty singlets as ground states and their role in entanglement distribution. PHYS REV A , 77 (5) , Article 050308. 10.1103/PhysRevA.77.050308.

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Abstract

We show that a singlet of many multilevel quantum systems arises naturally as the ground state of a physically motivated Hamiltonian. The Hamiltonian simply exchanges the states of nearest neighbors in some network of qudits (d-level systems); the results are independent of the strength of the couplings or the network's topology. We show that local measurements on some of these qudits project the unmeasured qudits onto a smaller singlet, regardless of the choice of measurement basis at each measurement. It follows that the entanglement is highly persistent, and that through local measurements, a large amount of entanglement may be established between spatially separated parties for subsequent use in distributed quantum computation.

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