Topological Quantum Computation with the universal R matrix for Ising anyons

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dc.creatorGeorgiev, Lachezar S.
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:12:24Z
dc.date.available2026-07-07T12:12:24Z
dc.descriptionWe show that the braid-group extension of the monodromy-based topological quantum computation scheme of Das Sarma et al. can be understood in terms of the universal R matrix for the Ising model giving similar results to those obtained by direct analytic continuation of multi-anyon Pfaffian wave functions. It is necessary, however, to take into account the projection on spinor states with definite total parity which is responsible for the topological entanglement in the Pfaffian topological quantum computer.
dc.description10 pages, 2 figures; Proc. of the VII Int. Workshop "Lie Theory and its Applications in Physics", June 2007, Varna, Bulgaria, H.-D. Doebner and V.K. Dobrev, Eds., Heron Press (2008), Sofia, pages 256--265
dc.identifierhttps://arxiv.org/abs/0812.2333
dc.identifierhttp://arxiv.org/abs/0812.2333
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210532
dc.subjectMathematical Physics
dc.titleTopological Quantum Computation with the universal R matrix for Ising anyons
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