Duality of the random model and the quantum toric code

Koujin Takeda, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We study the phase diagrams of random models with bimodal randomness, especially the random bond Ising model and the random plaquette gauge model from the viewpoint of quantum information theory. Using Fourier transformation in conjunction with the replica trick, we show that these models have a common structure under duality transformation. This observation enables us to derive a conjecture on the exact location of the multicritical point and lead the accuracy threshold of the toric code, which is one of the topological quantum memories.

Original languageEnglish
Pages (from-to)115-118
Number of pages4
Journaljournal of the physical society of japan
Issue numberSUPPL.
Publication statusPublished - 2005


  • Duality
  • Error correcting code
  • Lattice gauge theory
  • Phase transition
  • Quantum information
  • Spin glass

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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