Duality of the random model and the quantum toric code

Koujin Takeda, Hidetoshi Nishimori

Research output: Contribution to journalArticlepeer-review


We study the properties under duality transformations of the general random spin systems with bimodal randomness to derive conjecture which relates the two multicritical points of dual random model pairs. The validity of the conjecture is checked for several cases by numerical results. We also discuss that the duality and our conjecture are useful for investigating the accuracy threshold of the toric codes in various dimensions.

Original languageEnglish
Pages (from-to)237-240
Number of pages4
JournalProgress of Theoretical Physics Supplement
Publication statusPublished - 2005

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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