A minimal implementation of automatic differentiation for variational uniform matrix product states (VUMPS). This package provides a implementation of the algorithm in arXiv:2304.01551 using TensorKit.jl.
This package mainly handles the following task:
Given a matrix product operator (MPO) represented by a MPOTensor T, the VUMPS algorithm looks for its fixed point matrix product state (MPS), which will be represented by a MPSTensor A.
The MPO usually comes from a partition function of a classical statistical model or the overlap of two projected entangled pair states (PEPS).
In the forward computation, the final quantity of interest will be a function of A.
This package provides an implementation of the backward rule for the VUMPS algorithm, which is compatible with Zygote.jl, hence the name VUMPSAutoDiff.