Entanglement Detection in the Stabilizer Formalism

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dc.creatorToth, Geza
dc.creatorGuehne, Otfried
dc.date2005-01-05
dc.date2005-07-12
dc.date.accessioned2026-07-07T06:11:54Z
dc.date.available2026-07-07T06:11:54Z
dc.descriptionWe investigate how stabilizer theory can be used for constructing sufficient conditions for entanglement. First, we show how entanglement witnesses can be derived for a given state, provided some stabilizing operators of the state are known. These witnesses require only a small effort for an experimental implementation and are robust against noise. Second, we demonstrate that also nonlinear criteria based on uncertainty relations can be derived from stabilizing operators. These criteria can sometimes improve the witnesses by adding nonlinear correction terms. All our criteria detect states close to Greenberger-Horne-Zeilinger states, cluster and graph states. We show that similar ideas can be used to derive entanglement conditions for states which do not fit the stabilizer formalism, such as the three-qubit W state. We also discuss connections between the witnesses and some Bell inequalities.
dc.description15 pages including 2 figures, revtex4; typos corrected, presentation improved; to appear in PRA
dc.identifierhttps://arxiv.org/abs/quant-ph/0501020
dc.identifierhttp://arxiv.org/abs/quant-ph/0501020
dc.identifierPhysical Review A 72, 022340 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.022340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92630
dc.subjectQuantum Physics
dc.titleEntanglement Detection in the Stabilizer Formalism
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