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Quantum Tensor Networks and Entanglement

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Publications

Mapping between Morita-equivalent string-net states with a constant depth quantum cicuit

Author(s): Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch and Frank Verstraete
Published in: Phyiscal review B, 2022, ISSN 2469-9950
Publisher: Amercian Physical Society
DOI: 10.1103/physrevb.105.085130

Matrix product operator symmetries and intertwiners in string-nets with domain walls

Author(s): Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete
Published in: SciPost Physics, 10/3, 2021, Page(s) 42, ISSN 2542-4653
Publisher: Sci post Foundation
DOI: 10.21468/scipostphys.10.3.053

Solving frustrated Ising models using tensor networks

Author(s): Bram Vanhecke, Jeanne Colbois, Laurens Vanderstraeten, Frank Verstraete, Frédéric Mila
Published in: Physical Review Research, 3/1, 2021, Page(s) 13, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.3.013041

Variational methods for characterizing matrix product operator symmetries

Author(s): Anna Francuz; Laurens Lootens; Frank Verstraete; Jacek Dziarmaga
Published in: Physical review B, 26, 2021, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.195152

Simulating lattice gauge theories within quantum technologies

Author(s): Mari Carmen Bañuls, Rainer Blatt, Jacopo Catani, Alessio Celi, Juan Ignacio Cirac, Marcello Dalmonte, Leonardo Fallani, Karl Jansen, Maciej Lewenstein, Simone Montangero, Christine A. Muschik, Benni Reznik, Enrique Rico, Luca Tagliacozzo, Karel Van Acoleyen, Frank Verstraete, Uwe-Jens Wiese, Matthew Wingate, Jakub Zakrzewski, Peter Zoller
Published in: The European Physical Journal D, 74/8, 2020, Page(s) 42, ISSN 1434-6060
Publisher: Springer Verlag
DOI: 10.1140/epjd/e2020-100571-8

Tangent-space methods for truncating uniform MPS

Author(s): Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete
Published in: SciPost Physics Core, 4/1, 2021, Page(s) 10, ISSN 2666-9366
Publisher: Sci Post foundation
DOI: 10.21468/scipostphyscore.4.1.004

Symmetric cluster expansions with tensor networks

Author(s): Bram Vanhecke, Laurens Vanderstraeten, Frank Verstraete
Published in: Physical Review A, 103/2, 2021, Page(s) 5, ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/physreva.103.l020402

Entanglement compression in scale space: From the multiscale entanglement renormalization ansatz to matrix product operators

Author(s): Karel Van Acoleyen, Andrew Hallam, Matthias Bal, Markus Hauru, Jutho Haegeman, Frank Verstraete
Published in: Physical Review B, 102/16, 2020, Page(s) 5, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.165131

Efficient matrix product state methods for extracting spectral information on rings and cylinders

Author(s): Maarten Van Damme, Robijn Vanhove, Jutho Haegeman, Frank Verstraete, Laurens Vanderstraeten
Published in: Physical Review B, 104/11, 2021, Page(s) 11, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.115142

Spinon confinement and deconfinement in spin-1 chains

Author(s): Laurens Vanderstraeten, Elisabeth Wybo, Natalia Chepiga, Frank Verstraete, Frédéric Mila
Published in: Physical Review B, 101/11, 2020, Page(s) 13, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.101.115138

Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell

Author(s): A. Nietner, Bram Vanhecke (UGent) , Frank Verstraete (UGent) , J. Eisert and Laurens Vanderstraeten (UGent)
Published in: Quantum, vol.4, 2020, Page(s) 23, ISSN 2521-327X
Publisher: Impressum
DOI: 10.22331/q-2020-09-21-328

Uncertainty and trade-offs in quantum multiparameter estimation

Author(s): Ilya Kull, Philippe Allard Guérin, Frank Verstraete
Published in: Journal of Physics A: Mathematical and Theoretical, 53/24, 2020, Page(s) 244001, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab7f67

Restricted Boltzmann Machines for Quantum States with Non-Abelian or Anyonic Symmetries

Author(s): Tom Vieijra, Corneel Casert, Jannes Nys, Wesley De Neve, Jutho Haegeman, Jan Ryckebusch, Frank Verstraete
Published in: Physical Review Letters, 124/9, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.124.097201

Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

Author(s): Boye Buyens, Simone Montangero, Jutho Haegeman, Frank Verstraete, Karel Van Acoleyen
Published in: Physical Review D, 95/9, 2017, Page(s) 23, ISSN 2470-0010
Publisher: American Physical Society
DOI: 10.1103/PhysRevD.95.094509

Quantum Gross-Pitaevskii Equation

Author(s): Jutho Haegeman, Frank Verstraete, Damian Draxler, Vid Stojevic, Ignacio Cirac, Tobias Osborne
Published in: SciPost Physics, 3/1, 2017, Page(s) 18, ISSN 2542-4653
Publisher: SciPost Foundation
DOI: 10.21468/SciPostPhys.3.1.006

Bridging Perturbative Expansions with Tensor Networks

Author(s): Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
Published in: Physical Review Letters, 119/7, 2017, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.119.070401

Matrix product density operators: Renormalization fixed points and boundary theories

Author(s): J.I. Cirac, D. Pérez-García, N. Schuch, F. Verstraete
Published in: Annals of Physics, 378, 2017, Page(s) 100-149, ISSN 0003-4916
Publisher: Academic Press
DOI: 10.1016/j.aop.2016.12.030

Renormalization Group Flows of Hamiltonians Using Tensor Networks

Author(s): M. Bal, M. Mariën, J. Haegeman, F. Verstraete
Published in: Physical Review Letters, 118/25, 2017, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.118.250602

Condensation-driven phase transitions in perturbed string nets

Author(s): Michaël Mariën, Jutho Haegeman, Paul Fendley, Frank Verstraete
Published in: Physical Review B, 96/15, 2017, Page(s) 9, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.96.155127​

Matrix product unitaries: structure, symmetries, and topological invariants

Author(s): J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Published in: Journal of Statistical Mechanics: Theory and Experiment, 2017/8, 2017, Page(s) 083105, ISSN 1742-5468
Publisher: Institute of Physics
DOI: 10.1088/1742-5468/aa7e55

Unifying time evolution and optimization with matrix product states

Author(s): Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete
Published in: Physical Review B, 94/16, 2016, Page(s) 10, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.94.165116

Entanglement of Distillation for Lattice Gauge Theories

Author(s): Karel Van Acoleyen, Nick Bultinck, Jutho Haegeman, Michael Marien, Volkher B. Scholz, Frank Verstraete
Published in: Physical Review Letters, 117/13, 2016, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.117.131602

Symmetry breaking and the geometry of reduced density matrices

Author(s): V Zauner, D Draxler, L Vanderstraeten, J Haegeman, F Verstraete
Published in: New Journal of Physics, 18/11, 2016, Page(s) 113033, ISSN 1367-2630
Publisher: Institute of Physics Publishing
DOI: 10.1088/1367-2630/18/11/113033

Matrix product state renormalization

Author(s): M. Bal, M. M. Rams, V. Zauner, J. Haegeman, F. Verstraete
Published in: Physical Review B, 94/20, 2016, Page(s) 14, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.94.205122

Gradient methods for variational optimization of projected entangled-pair states

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz, Frank Verstraete
Published in: Physical Review B, 94/15, 2016, Page(s) 14, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.94.155123

Excitations and the tangent space of projected entangled-pair states

Author(s): Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete, Jutho Haegeman
Published in: Physical Review B, 92/20, 2015, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.92.201111

Scattering particles in quantum spin chains

Author(s): Laurens Vanderstraeten, Frank Verstraete, Jutho Haegeman
Published in: Physical Review B, 92/12, 2015, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.92.125136

Quasiparticle interactions in frustrated Heisenberg chains

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Didier Poilblanc
Published in: Physical Review B, 93/23, 2016, Page(s) 8, ISSN 2469-9950
Publisher: Amercian Physical Society
DOI: 10.1103/PhysRevB.93.235108

Simulating excitation spectra with projected entangled-pair states

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Published in: Physical Review B, 99/16, 2019, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.99.165121

Scaling Hypothesis for Matrix Product States

Author(s): Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, Frank Verstraete
Published in: Physical Review Letters, 123/25, 2019, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.123.250604

Quasiparticles in Quantum Spin Chains with Long-Range Interactions

Author(s): Laurens Vanderstraeten, Maarten Van Damme, Hans Peter Büchler, Frank Verstraete
Published in: Physical Review Letters, 121/9, 2018, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.121.090603

Fermionic projected entangled-pair states and topological phases

Author(s): Nick Bultinck, Dominic J Williamson, Jutho Haegeman, Frank Verstraete
Published in: Journal of Physics A: Mathematical and Theoretical, 51/2, 2018, Page(s) 025202, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa99cc

Approaching the Kosterlitz-Thouless transition for the classical X Y model with tensor networks

Author(s): Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Läuchli, Frank Verstraete
Published in: Physical Review E, 100/6, 2019, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/PhysRevE.100.062136

Global Anomaly Detection in Two-Dimensional Symmetry-Protected Topological Phases

Author(s): Nick Bultinck, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Letters, 120/15, 2018, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.120.156601

Residual entropies for three-dimensional frustrated spin systems with tensor networks

Author(s): Laurens Vanderstraeten, Bram Vanhecke, Frank Verstraete
Published in: Physical Review E, 98/4, 2018, ISSN 2470-0045
Publisher: Amercian Physical Society
DOI: 10.1103/PhysRevE.98.042145

Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries

Author(s): V. Zauner-Stauber, L. Vanderstraeten, J. Haegeman, I. P. McCulloch, F. Verstraete
Published in: Physical Review B, 97/23, 2018, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.97.235155

Tensor-network approach to phase transitions in string-net models

Author(s): Alexis Schotte, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Julien Vidal
Published in: Physical Review B, 100/24, 2019, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.100.245125

Thermal states as convex combinations of matrix product states

Author(s): Mario Berta, Fernando G. S. L. Brandão, Jutho Haegeman, Volkher B. Scholz, Frank Verstraete
Published in: Physical Review B, 98/23, 2018, ISSN 2469-9950
Publisher: Amercian Physical Society
DOI: 10.1103/physrevb.98.235154

Mapping Topological to Conformal Field Theories through strange Correlators

Author(s): Robijn Vanhove, Matthias Bal, Dominic J. Williamson, Nick Bultinck, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Letters, 121/17, 2018, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.121.177203

Faster methods for contracting infinite two-dimensional tensor networks

Author(s): M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, F. Verstraete
Published in: Physical Review B, 98/23, 2018, ISSN 2469-9950
Publisher: Amercian Physical Society
DOI: 10.1103/PhysRevB.98.235148

Galois Conjugated Tensor Fusion Categories and Nonunitary Conformal Field Theory

Author(s): Laurens Lootens, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Letters, 124/12, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.124.120601

Variational optimization algorithms for uniform matrix product states

Author(s): V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, J. Haegeman
Published in: Physical Review B, 97/4, 2018, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.97.045145

Tangent-space methods for uniform matrix product states

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Published in: SciPost Physics Lecture Notes, 2019, ISSN 2590-1990
Publisher: Scipost Foundation
DOI: 10.21468/SciPostPhysLectNotes.7

Diagonalizing Transfer Matrices and Matrix product operators: a medley of exact and computational methods

Author(s): Jutho Haegeman and Frank Verstraete
Published in: Annual review of condensed matter physics, 8/1, 2017, ISSN 1947-5454
Publisher: Annual Reviews Inc.
DOI: 10.1146/annurev-conmatphys-031016-025507

Anyons and matrix product operator algebras

Author(s): Nick Bultinck, Michaël Mariën, D.J. Williamson, M.B. Sahinoglu, Jutho Haegeman and Frank Verstraete
Published in: Annals of Physics, 378, 2017, ISSN 0003-4916
Publisher: Academic Press
DOI: 10.1016/j.aop.2017.01.004

Fermionic matrix product states and one-dimensional topological phases

Author(s): Nick Bultinck, Dominic J. Williemson, Jutho Haegeman and Frank Verstraete
Published in: Physical Review B, 95/7, 2017, Page(s) 24, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.95.075108

Entanglement rates and the stability of the area law of the entanglement entropy

Author(s): Michaël Mariën, Koenraad Audenaert, Karel van Acoleyen and Frank Verstraete
Published in: Communications in Mathematical Physics, 346/1, 2016, Page(s) 35-73, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-016-2709-5

Continuous matrix product states with periodic boundary conditions and an application to atomtronics

Author(s): Damian Draxler, Jutho Haegeman , Frank Verstraete and Matteo Rizzi
Published in: Physical Review B, 95/4, 2017, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.95.045145

Tensor networks for gauge field theories

Author(s): Boye Buyens , Jutho Haegeman , Frank Verstraete and Karel Van Acoleyen
Published in: Proceeding of science, 280, 2016, Page(s) 7, ISSN 1824-8039
Publisher: POS

Tensor-product state approach to spin-1/2 square J₁-J2 antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality

Author(s): Ling Wang, Zheng-Cheng Gu, Frank Verstraete and Xiao-Gang Wen
Published in: Physical review B, 94/7, 2016, Page(s) 6, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.94.075143

Hamiltonian simulation of the Schwinger model at finite temperature

Author(s): Boye Buyens, Frank Verstraetet and Karel Van Acoleyen
Published in: Physical Review D, 94, 2016, Page(s) 33, ISSN 2470-0010
Publisher: American Physical Society
DOI: 10.1103/PhysRevD.94.085018

Confinement and string breaking for QED2 in the Hamiltonian picture

Author(s): Boye Buyens , Jutho Haegeman, Henri Verschelde, Frank Verstraete and Karel Van Acoleyen
Published in: Physical review X, 6/4, 2016, Page(s) 32, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/PhysRevX.6.041040

Truncating an exact matrix product state for the XY model: transfer matrix and its renormalization

Author(s): Marek M Rams, Valentin Zauner, Matthias Bal, Jutho Haegeman and Frank Verstraete
Published in: Physical review B, 92/23, 2016, Page(s) 13, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.92.235150

Characterizing Topological Order with Matrix Product Operators

Author(s): Mehmet Burak Şahinoğlu, Dominic Williamson, Nick Bultinck, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Frank Verstraete
Published in: Annales Henri Poincaré, 22/2, 2021, Page(s) 563-592, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-020-00992-4

Lattice regularisation and entanglement structure of the Gross-Neveu model

Author(s): Gertian Roose, Nick Bultinck, Laurens Vanderstraeten, Frank Verstraete, Karel Van Acoleyen, Jutho Haegeman
Published in: Journal of High Energy Physics, 2021/7, 2021, Page(s) 34, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep07(2021)207

Real-time scattering of interacting quasiparticles in quantum spin chains

Author(s): Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Research, 3/1, 2021, Page(s) 8, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.3.013078