It is well known that the ground state of 2D Toric Code system can be represented by $D=2$ PEPS (Projected Entangled Pair States, i.e. the tensors in the 2D network are connected by 2-dimensional links. See PRL 96, 220601 (2006)). However, I failed to find a detailed procedure on how this is obtained.

Is there anyone who are willing to give a detailed explanation on how to find the PEPS representation, and the tensor components for Toric Code?

  • $\begingroup$ Which part in the paper don't you understand? The tensor components are explicitly listed. $\endgroup$ – Norbert Schuch Feb 16 at 18:24
  • $\begingroup$ I don't quite understand the section "Quantum-classical correspondence" in which the construction of projectors are discussed. So I am not clear how the Toric Code projectors are obtained. $\endgroup$ – Zhengyuan Yue Feb 18 at 1:50

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