Error counting in a quantum error-correcting code and the ground-state energy of a spin glass

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dc.creatorNishimori, Hidetoshi
dc.creatorSollich, Peter
dc.date2004-05-14
dc.date.accessioned2026-07-07T02:58:09Z
dc.date.available2026-07-07T02:58:09Z
dc.descriptionUpper and lower bounds are given for the number of equivalence classes of error patterns in the toric code for quantum memory. The results are used to derive a lower bound on the ground-state energy of the +/-J Ising spin glass model on the square lattice with symmetric and asymmetric bond distributions. This is a highly non-trivial example in which insights from quantum information lead directly to an explicit result on a physical quantity in the statistical mechanics of disordered systems.
dc.description15 pages, 7 figures, JPSJ style, latex style file included
dc.identifierhttps://arxiv.org/abs/cond-mat/0405313
dc.identifierhttp://arxiv.org/abs/cond-mat/0405313
dc.identifierJournal of the Physical Society of Japan, 73:2701-2707, 2004
dc.identifierdoi:10.1143/JPSJ.73.2701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23962
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleError counting in a quantum error-correcting code and the ground-state energy of a spin glass
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