Constructing Functional Braids for Low-Leakage Topological Quantum Computing

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dc.creatorXu, Haitan
dc.creatorWan, Xin
dc.date2008-02-28
dc.date2008-10-13
dc.date.accessioned2026-07-07T12:12:07Z
dc.date.available2026-07-07T12:12:07Z
dc.descriptionWe discuss how to significantly reduce leakage errors in topological quantum computation by introducing an irrelevant error in phase, using the construction of a CNOT gate in the Fibonacci anyon model as a concrete example. To be specific, we construct a functional braid in a six-anyon Hilbert space that exchanges two neighboring anyons while conserving the encoded quantum information. The leakage error is $\sim$$10^{-10}$ for a braid of $\sim$100 interchanges of anyons. Applying the braid greatly reduces the leakage error in the construction of generic controlled-rotation gates.
dc.description5 pages, 4 figures, updated, accepeted by Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/0802.4213
dc.identifierhttp://arxiv.org/abs/0802.4213
dc.identifierPhys. Rev. A 78, 042325 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.042325
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210441
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleConstructing Functional Braids for Low-Leakage Topological Quantum Computing
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