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20022024
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations · 8k across the 103 of their papers we have counts for

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Showing 2014Show all

9 papers · 1 filter

cond-mat.str-el2014★ 61 cited

Chiral projected entangled-pair state with topological order

Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu +2

We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases. For that, we construct a simple PEPS for spin-1/2 particles in a two-dimension…

cond-mat.str-el2014★ 81 cited

Shadows of Anyons

Jutho Haegeman, Valentin Zauner, Norbert Schuch +1

The eigenvalue structure of the quantum transfer matrix is known to encode essential information about the elementary excitations. Here we study transfer matrices of quantum states…

quant-ph2014★ 53 cited

Characterizing Topological Order with Matrix Product Operators

Mehmet Burak Şahinoğlu, Dominic Williamson, Nick Bultinck +4

One of the most striking features of quantum phases that exhibit topological order is the presence of long range entanglement that cannot be detected by any local order parameter.…

cond-mat.str-el2014★ 17 cited

Semionic resonating valence bond states

Mohsin Iqbal, Didier Poilblanc, Norbert Schuch

The nature of the kagome Heisenberg antiferromagnet (HAFM) is under ongoing debate. While recent evidence points towards a Z_2 topological spin liquid, the exact nature of the topo…

quant-ph2014★ 78 cited

Transfer Matrices and Excitations with Matrix Product States

V. Zauner, D. Draxler, L. Vanderstraeten +6

We investigate the relation between static correlation functions in the ground state of local quantum many-body Hamiltonians and the dispersion relations of the corresponding low e…

quant-ph2014★ 142 cited

Gauging quantum states: from global to local symmetries in many-body systems

Jutho Haegeman, Karel Van Acoleyen, Norbert Schuch +2

We present an operational procedure to transform global symmetries into local symmetries at the level of individual quantum states, as opposed to typical gauging prescriptions for…