Topologically protected quantum gates for computation with non-Abelian anyons in the Pfaffian quantum Hall state

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dc.creatorGeorgiev, Lachezar S.
dc.date2006-07-05
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:36:45Z
dc.date.available2026-07-07T07:36:45Z
dc.descriptionWe extend the topological quantum computation scheme using the Pfaffian quantum Hall state, which has been recently proposed by Das Sarma et al., in a way that might potentially allow for the topologically protected construction of a universal set of quantum gates. We construct, for the first time, a topologically protected Controlled-NOT gate which is entirely based on quasihole braidings of Pfaffian qubits. All single-qubit gates, except for the pi/8 gate, are also explicitly implemented by quasihole braidings. Instead of the pi/8 gate we try to construct a topologically protected Toffoli gate, in terms of the Controlled-phase gate and CNOT or by a braid-group based Controlled-Controlled-Z precursor. We also give a topologically protected realization of the Bravyi-Kitaev two-qubit gate g_3.
dc.description6 pages, 7 figures, RevTeX; version 3: introduced section names, new reference added; new comment added about the embedding of the one- and two- qubit gates into a three-qubit system
dc.identifierhttps://arxiv.org/abs/cond-mat/0607125
dc.identifierhttp://arxiv.org/abs/cond-mat/0607125
dc.identifierPhys. Rev. B 74 (2006) 235112
dc.identifierdoi:10.1103/PhysRevB.74.235112
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120535
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleTopologically protected quantum gates for computation with non-Abelian anyons in the Pfaffian quantum Hall state
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