Learning Potts Models and $Z_3$ Toric Codes: Higher and Ordinary Nishimori Criticality

Rushikesh A. Patil, Malte Pütz, Rohit Mukherjee +3

Motivated by a previous Ising study, we identify a $higher$ Nishimori line in the learning phase diagram of the $2D$ $q$-state Potts model $(2<q\le 4)$ under bond-energy m…