Geometry of matrix product states: Metric, parallel transport, and curvature

The geometry of algorithms using hierarchical tensors

(2013) André Uschmajew et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Post-matrix product state methods: To tangent space and beyond

(2013) Jutho Haegeman et al.   PHYSICAL REVIEW B

Matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions

(2012) B. Pirvu et al.   PHYSICAL REVIEW B

Variational matrix product ansatz for dispersion relations

(2012) Jutho Haegeman et al.   PHYSICAL REVIEW B

On manifolds of tensors of fixed TT-rank

(2011) Sebastian Holtz et al.   NUMERISCHE MATHEMATIK

Classifying quantum phases using matrix product states and projected entangled pair states

(2011) Norbert Schuch et al.   PHYSICAL REVIEW B

Classification of gapped symmetric phases in one-dimensional spin systems

(2011) Xie Chen et al.   PHYSICAL REVIEW B

Time-Dependent Variational Principle for Quantum Lattices

(2011) Jutho Haegeman et al.   PHYSICAL REVIEW LETTERS

PEPS as ground states: Degeneracy and topology

(2010) Norbert Schuch et al.   ANNALS OF PHYSICS

The density-matrix renormalization group in the age of matrix product states

(2010) Ulrich Schollwöck   ANNALS OF PHYSICS

A New Scheme for the Tensor Representation

(2009) W. Hackbusch et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Practical recipes for the model order reduction, dynamical simulation and compressive sampling of large-scale open quantum systems

(2009) John A Sidles et al.   NEW JOURNAL OF PHYSICS

Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions

(2009) I. V. Oseledets et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

(2008) F. Verstraete et al.   ADVANCES IN PHYSICS

String Order and Symmetries in Quantum Spin Lattices

(2008) D. Pérez-García et al.   PHYSICAL REVIEW LETTERS

Class of Quantum Many-Body States That Can Be Efficiently Simulated

(2008) G. Vidal   PHYSICAL REVIEW LETTERS