Error-Tolerating Bell Inequalities via Graph States

dc.creatorChen, Qing
dc.creatorYu, Sixia
dc.creatorOh, C. H.
dc.date2009-03-19
dc.date.accessioned2026-07-07T12:54:15Z
dc.date.available2026-07-07T12:54:15Z
dc.descriptionWe investigate the Bell inequalities derived from the graph states with violations detectable even with the presence of noises, which generalizes the idea of error-correcting Bell inequalities [Phys. Rev. Lett. 101, 080501 (2008)]. Firstly we construct a family of valid Bell inequalities tolerating arbitrary $t$-qubit errors involving $3(t+1)$ qubits, e.g., 6 qubits suffice to tolerate single qubit errors. Secondly we construct also a single-error-tolerating Bell inequality with a violation that increases exponentially with the number of qubits. Exhaustive computer search for optimal error-tolerating Bell inequalities based on graph states on no more than 10 qubits shows that our constructions are optimal for single- and double-error tolerance.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0903.3318
dc.identifierhttp://arxiv.org/abs/0903.3318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223866
dc.subjectQuantum Physics
dc.titleError-Tolerating Bell Inequalities via Graph States
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