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20002026
most citedMatrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

1.8k citations · 31.8k across the 228 of their papers we have counts for

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Showing 2009 · quant-phShow all

5 papers · 2 filters

quant-ph2009★ 63 cited

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…

quant-ph2009★ 313 cited

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…

quant-ph2009★ 1.8k cited

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…

quant-ph2009★ 198 cited

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…

quant-ph2009★ 242 cited

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…