TY - JOUR
T1 - Duality of the random model and the quantum toric code
AU - Takeda, Koujin
AU - Nishimori, Hidetoshi
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
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U2 - 10.1143/PTPS.157.237
DO - 10.1143/PTPS.157.237
M3 - Article
AN - SCOPUS:22144488786
VL - 157
SP - 237
EP - 240
JO - Progress of Theoretical Physics Supplement
JF - Progress of Theoretical Physics Supplement
SN - 0375-9687
ER -