Journal Article

FZJ-2026-02432

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png An introduction to infinite projected entangled-pair state methods for variational ground state simulations using automatic differentiation

Naumann, J. (Corresponding author) ; Weerda, E. L.FZJ* ; Rizzi, M.FZJ* ; Eisert, J. ; Schmoll, P.

2024
SciPost Foundation Amsterdam

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Please use a persistent id in citations: doi:10.21468/SciPostPhysLectNotes.86  doi:10.34734/FZJ-2026-02432

Abstract: Tensor networks capture large classes of ground states of phases of quantum matter faithfully and efficiently. Their manipulation and contraction has remained a challenge over the years, however. For most of the history, ground state simulations of two-dimensional quantum lattice systems using (infinite) projected entangled pair states have relied on what is called a time-evolving block decimation. In recent years, multiple proposals for the variational optimization of the quantum state have been put forward, overcoming accuracy and convergence problems of previously known methods. The incorporation of automatic differentiation in tensor networks algorithms has ultimately enabled a new, flexible way for variational simulation of ground states and excited states. In this work we review the state-of-the-art of the variational iPEPS framework, providing a detailed introduction to automatic differentiation, a description of a general foundation into which various two-dimensional lattices can be conveniently incorporated, and demonstrative benchmarking results.

Note: https://github.com/variPEPS/

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Contributing Institute(s):

1. Quantum Control (PGI-8)

Research Program(s):

1. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)
2. DFG project G:(GEPRIS)316511451 - Verschränkung (B01) (316511451) (316511451)
3. PASQuanS2.1 - Programmable Atomic Large-scale Quantum Simulation 2 - SGA1 (101113690) (101113690)

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Database coverage:
; ; ; DOAJ Seal ; SCOPUS

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