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

Hidetoshi Nishimori, Peter Sollich

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2701-2707
Number of pages7
Journaljournal of the physical society of japan
Volume73
Issue number10
DOIs
Publication statusPublished - 2004 Oct 1
Externally publishedYes

Keywords

  • Ground-state energy
  • Quantum information
  • Quantum memory
  • Spin glass
  • Toric code
  • ±J model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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