using-pepskit

To run a 2D PEPS ground-state search for the Heisenberg model in Julia, initialize your PEPS with a specified bond dimension and environment dimension, then use the provided convergence controls to execute variational optimization. The skill supports built-in model constructors for direct setup.

CTMRG boundary contraction is a technique used to approximate the infinite environment of a 2D tensor network. It affects simulations by requiring precise management of environment convergence and fixed-point tolerance to ensure stable physical results during variational ground-state optimization.

Yes, you can use fermionic symmetries and U(1) symmetry sectors with PEPSKit. The skill includes built-in constructors for standard models like Heisenberg, Hubbard, and Ising, with explicit support for incorporating these symmetries into your tensor network simulations.

You manage bond dimensions and environment convergence in 2D tensor network calculations by adjusting specific knobs for environment dimension, fixed-point tolerance, and iteration bounds. These controls ensure stable physics and proper convergence during CTMRG boundary contractions.

Limitations of using 2D tensor networks for quantum simulation include the need for precise gauge-fixed automatic differentiation and careful management of environment convergence. Incorrect bond dimensions or insufficient iteration bounds can lead to unstable physical results and failed optimizations.

Yes, using-pepskit works with TensorKit and MPSKit. It facilitates 2D tensor network simulations using PEPSKit.jl and TensorKit.jl, relying on these dependencies for quantum and classical system calculations including variational ground-state optimization and CTMRG.