Tilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses

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dc.creatorFreedman, Michael
dc.creatorNayak, Chetan
dc.creatorWalker, Kevin
dc.date2005-12-05
dc.date.accessioned2026-07-07T06:53:07Z
dc.date.available2026-07-07T06:53:07Z
dc.descriptionWe show how a universal gate set for topological quantum computation in the Ising TQFT, the non-Abelian sector of the putative effective field theory of the $ν=5/2$ fractional quantum Hall state, can be implemented. This implementation does not require overpasses or surgery, unlike the construction of Bravyi and Kitaev, which we take as a starting point. However, it requires measurements of the topological charge around time-like loops encircling moving quasiaparticles, which require the ability to perform `tilted' interferometry measurements.
dc.descriptionThis manuscript has substantial overlap with cond-mat/0512066 which contains more physics and less emphasis on the topology. The present manuscript is posted as a possibly useful companion to the former
dc.identifierhttps://arxiv.org/abs/cond-mat/0512072
dc.identifierhttp://arxiv.org/abs/cond-mat/0512072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105476
dc.subjectMesoscale and Nanoscale Physics
dc.titleTilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses
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