paper

Persistent entanglement in arrays of interacting particles

arXiv:quant-ph/0004051 · doi:10.1103/PhysRevLett.86.910

Abstract

We study the entanglement properties of a class of qubit quantum states that are generated in arrays of qubits with an Ising-type interaction. These states contain a large amount of entanglement as given by their Schmidt measure. They have also a high {\em persistency of entanglement} which means that qubits have to be measured to disentangle the state. These states can be regarded as an entanglement resource since one can generate a family of other multi-particle entangled states such as the generalized GHZ states of qubits by simple measurements and classical communication (LOCC).

4 pages, 1 figure. Revised version puts more emphasis on the presentation of the cluster states as a novel class of N-qubit entangled states, and on the discussion of their entanglement properties in terms of the notions of persistency, maximal connectedness, and the Schmidt measure. Introduction has been completely rewritten. More space is now devoted to motivating the notions of persistency and maximal connectedness, see the paragraph after Eq.(3) and (4). Discussion of the Schmidt measure of the cluster states has been added. More technical discussions of the 2D and 3D generalisations of the cluster states have been shortened

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