Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

TL;DR

This paper reviews recent advances in variational renormalization group methods for quantum spin systems, focusing on matrix product states and projected entangled pair states, highlighting their theoretical foundations and numerical implementations.

Contribution

It provides a comprehensive overview of the latest developments in MPS and PEPS methods for quantum spin systems, emphasizing their theoretical understanding and computational techniques.

Findings

Enhanced understanding of MPS and PEPS frameworks.

Improved numerical algorithms for quantum spin systems.

Insights into the theoretical foundations of variational renormalization.

Abstract

This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.