1.8k citations · 14.6k across the 65 of their papers we have counts for
4 papers · 1 filter
Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
F. Verstraete, J. I. Cirac, V. Murg
This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states…
Matrix Product States for dynamical simulation of infinite chains
M. C. Bañuls, M. B. Hastings, F. Verstraete +1
We propose a new method for computing the ground state properties and the time evolution of infinite chains based on a transverse contraction of the tensor network. The method does…
Matrix Product States: Symmetries and Two-Body Hamiltonians
M. Sanz, M. M. Wolf, D. Perez-Garcia +1
We characterize the conditions under which a translationally invariant matrix product state (MPS) is invariant under local transformations. This allows us to relate the symmetry gr…
Simulations of quantum double models
G. K. Brennen, M. Aguado, J. I. Cirac
We demonstrate how to build a simulation of two dimensional physical theories describing topologically ordered systems whose excitations are in one to one correspondence with irred…