review article · identifier verified 2026-07-29

A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States

Román Orús · 2013

Identifier: arXiv:1306.2164
Canonical URL: https://arxiv.org/abs/1306.2164

Why it is in this atlas

Review covering tensor-network structure, entanglement scaling, and contraction strategy; the general reference for this atlas.

Claims citing this source

tn-001 · Established resultA matrix product state represents a many-body state with a cost controlled by its bond dimension, which bounds the entanglement it can carry across any cut.

Concepts citing this source

Tensor network Matrix product state (MPS)Bond dimension (D)Area law Scale invariance Quantum-inspired optimization