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Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State

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arxiv cond-mat/0508616 v3 pith:VIQ6TZIE submitted 2005-08-25 cond-mat.mes-hall cond-mat.str-el

classification cond-mat.mes-hallcond-mat.str-el
keywords statenon-abelianstatisticsaddressedbeencharacteristicsconstructingdescribe
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In this letter we propose an interferometric experiment to detect non-Abelian quasiparticle statistics -- one of the hallmark characteristics of the Moore-Read state expected to describe the observed FQHE plateau at nu=5/2. The implications for using this state for constructing a topologically protected qubit as has been recently proposed by Das Sarma et. al. are also addressed.

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    quant-ph 2024-12 conditional novelty 5.0 of 10

    Braiding two-strand cables of anyons gives a two-qubit controlled-phase gate with about 99 percent probability of staying in the computational space.

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