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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 2014 · quant-phShow all

10 papers · 2 filters

quant-ph2014★ 23 cited

Symmetry Breaking and the Geometry of Reduced Density Matrices

V. Zauner, D. Draxler, L. Vanderstraeten +2

The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. The theory of quantum entanglemen…

quant-ph2014★ 71 cited

Matrix product operators for symmetry-protected topological phases: Gauging and edge theories

Dominic J. Williamson, Nick Bultinck, Michael Mariën +3

Projected entangled pair states (PEPS) provide a natural ansatz for the ground states of gapped, local Hamiltonians in which global characteristics of a quantum state are encoded i…

quant-ph2014★ 23 cited

Truncating an exact Matrix Product State for the XY model: transfer matrix and its renormalisation

Marek M. Rams, Valentin Zauner, Matthias Bal +2

We discuss how to analytically obtain an -- essentially infinite -- Matrix Product State (MPS) representation of the ground state of the XY model. On the one hand this allows to il…

quant-ph2014★ 1 cited

Linear-optical generation of eigenstates of the two-site XY model

Stefanie Barz, Borivoje Dakic, Yannick Ole Lipp +3

Much of the anticipation accompanying the development of a quantum computer relates to its application to simulating dynamics of another quantum system of interest. Here we study t…

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.…

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…