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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 2008Show all

8 papers · 1 filter

quant-ph2008★ 33 cited

One-shot entanglement generation over long distances in noisy quantum networks

S. Perseguers, L. Jiang, N. Schuch +4

We consider the problem of creating a long-distance entangled state between two stations of a network, where neighboring nodes are connected by noisy quantum channels. We show that…

quant-ph2008★ 374 cited

Matrix product operator representations

V. Murg, J. I. Cirac, B. Pirvu +1

We show how to construct relevant families of matrix product operators in one and higher dimensions. Those form the building blocks for the numerical simulation methods based on ma…

quant-ph2008★ 171 cited

Quantum circuits for strongly correlated quantum systems

Frank Verstraete, J. Ignacio Cirac, Jose I. Latorre

In recent years, we have witnessed an explosion of experimental tools by which quantum systems can be manipulated in a controlled and coherent way. One of the most important goals…

quant-ph2008★ 31 cited

Quantum computation, quantum state engineering, and quantum phase transitions driven by dissipation

Frank Verstraete, Michael M. Wolf, J. Ignacio Cirac

We investigate the computational power of creating steady-states of quantum dissipative systems whose evolution is governed by time-independent and local couplings to a memoryless…

quant-ph2008★ 54 cited

Sequentially generated states for the study of two dimensional systems

Mari-Carmen Bañuls, David Pérez-García, Michael M. Wolf +2

Matrix Product States can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system. We introduce a new family of states which exten…

quant-ph2008★ 26 cited

Renormalization algorithm with graph enhancement

R. Hübener, C. Kruszynska, L. Hartmann +4

We introduce a class of variational states to describe quantum many-body systems. This class generalizes matrix product states which underly the density-matrix renormalization grou…

cond-mat.str-el2008★ 264 cited

String order and symmetries in quantum spin lattices

D. Perez-Garcia, M. M. Wolf, M. Sanz +2

We show that the existence of string order in a given quantum state is intimately related to the presence of a local symmetry by proving that both concepts are equivalent within th…

quant-ph2008★ 128 cited

Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices

M. Aguado, G. K. Brennen, F. Verstraete +1

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose…