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Error counting in a quantum error-correcting code and the ground-state energy of a spin glass | | Hidetoshi Nishimori
; Peter Sollich
; | | Date: |
14 May 2004 | | Journal: | Journal of the Physical Society of Japan, 73:2701-2707, 2004 DOI: 10.1143/JPSJ.73.2701 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech quant-ph | | Abstract: | Upper 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. | | Source: | arXiv, cond-mat/0405313 | | Services: | Forum | Review | PDF | Favorites | |
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