1.8k citations · 31.8k across the 228 of their papers we have counts for
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Stochastic exclusion processes versus coherent transport
Kristan Temme, Michael M. Wolf, Frank Verstraete
Stochastic exclusion processes play an integral role in the physics of non-equilibrium statistical mechanics. These models are Markovian processes, described by a classical master…
Quantum Metropolis Sampling
K. Temme, T. J. Osborne, K. G. Vollbrecht +2
The original motivation to build a quantum computer came from Feynman who envisaged a machine capable of simulating generic quantum mechanical systems, a task that is believed to b…
Renormalization and tensor product states in spin chains and lattices
J. I. Cirac, F. Verstraete
We review different descriptions of many--body quantum systems in terms of tensor product states. We introduce several families of such states in terms of known renormalization pro…
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…
Fermionic Projected Entangled Pair States
Christina V. Kraus, Norbert Schuch, Frank Verstraete +1
We introduce a family of states, the fPEPS, which describes fermionic systems on lattices in arbitrary spatial dimensions. It constitutes the natural extension of another family of…
Simulation of interacting fermions with entanglement renormalization
Philippe Corboz, Glen Evenbly, Frank Verstraete +1
We propose and test an algorithm to simulate a lattice system of interacting fermions in two spatial dimensions. The approach is an extension of the entanglement renormalization te…
Exploring frustrated spin-systems using Projected Entangled Pair States (PEPS)
V. Murg, F. Verstraete, J. I. Cirac
We study the nature of the ground state of the frustrated J1-J2 model and the J1-J3 model using a variational algorithm based on projected entangled-pair states (PEPS). By investig…