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Tensor networks capture large classes of ground states of phases of quantummatter faithfully and efficiently. Their manipulation and contraction hasremained a challenge over the years, however. For most of the history, groundstate simulations of two-dimensional quantum lattice systems using (infinite)projected entangled pair states have relied on what is called a time-evolvingblock decimation. In recent years, multiple proposals for the variationaloptimization of the quantum state have been put forward, overcoming accuracyand convergence problems of previously known methods. The incorporation ofautomatic differentiation in tensor networks algorithms has ultimately enableda new, flexible way for variational simulation of ground states and excitedstates. In this work, we review the state of the art of the variational iPEPSframework. We present and explain the functioning of an efficient,comprehensive and general tensor network library for the simulation of infinitetwo-dimensional systems using iPEPS, with support for flexible unit cells anddifferent lattice geometries.

variPEPS -- a versatile tensor network library for variational ground state simulations in two spatial dimensions