General Greenberger-Horne-Zeilinger theorem of cluster states

dc.creatorTang, Li
dc.creatorChen, Zeqian
dc.creatorChen, Zeng-Bing
dc.date2008-12-29
dc.date.accessioned2026-07-07T12:23:01Z
dc.date.available2026-07-07T12:23:01Z
dc.descriptionIn this paper, we show that there are eight distinct forms of the Greenberger-Horne-Zeilinger (GHZ) argument for the four-qubit cluster state $|ϕ_4>$ and forty eight distinct forms for the five-qubit cluster state $|ϕ_5>$ in the case of the one-dimensional lattice. The proof is obtained by regarding the pair qubits as a single object and constructing the new Pauli-like operators. The method can be easily extended to the case of the N-qubit system and the associated Bell inequalities are also discussed. Consequently, we present a complete construction of the GHZ theorem for the cluster states of N-qubit in the case of the one-dimensional lattice.
dc.description7 pages, 2 figures, We believe the paper may be of particular interest to the readers of your journal because the study it reports stated a complete construction of the GHZ theorem for the cluster states of N-qubit in the case of the one-dimensional lattice
dc.identifierhttps://arxiv.org/abs/0812.4915
dc.identifierhttp://arxiv.org/abs/0812.4915
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213850
dc.subjectQuantum Physics
dc.titleGeneral Greenberger-Horne-Zeilinger theorem of cluster states
dc.typetext

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