I will give an overview of recent advances [1] in differentiating CTMRG that utilize fixed-point differentiation and robust gauge fixing. These techniques in particular form the backbone of the PEPSKit.jl optimization functionality. Based on that, I will discuss various works in progress.
[1] A. Francuz, N. Schuch, and B. Vanhecke, Stable and efficient differentiation of tensor network algorithms, 2023. arXiv: 2311.11894