Self-dual random-plaquette gauge model and the quantum toric code

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dc.creatorTakeda, Koujin
dc.creatorNishimori, Hidetoshi
dc.date2003-10-30
dc.date2004-05-07
dc.date.accessioned2026-07-07T07:39:23Z
dc.date.available2026-07-07T07:39:23Z
dc.descriptionWe study the four-dimensional Z_2 random-plaquette lattice gauge theory as a model of topological quantum memory, the toric code in particular. In this model, the procedure of quantum error correction works properly in the ordered (Higgs) phase, and phase boundary between the ordered (Higgs) and disordered (confinement) phases gives the accuracy threshold of error correction. Using self-duality of the model in conjunction with the replica method, we show that this model has exactly the same mathematical structure as that of the two dimensional random-bond Ising model, which has been studied very extensively. This observation enables us to derive a conjecture on the exact location of the multicritical point (accuracy threshold) of the model, p_c=0.889972..., and leads to several nontrivial results including bounds on the accuracy threshold in three dimensions.
dc.description23 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0310279
dc.identifierhttp://arxiv.org/abs/hep-th/0310279
dc.identifierNucl. Phys. B686 (2004) 377-396
dc.identifierdoi:10.1016/j.nuclphysb.2004.03.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121426
dc.subjectHigh Energy Physics - Theory
dc.subjectDisordered Systems and Neural Networks
dc.subjectQuantum Physics
dc.titleSelf-dual random-plaquette gauge model and the quantum toric code
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