Quantum Tensor Networks and Entanglement

Publicaciones

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

Autores: Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch and Frank Verstraete
Publicado en: Phyiscal review B, 2022, ISSN 2469-9950
Editor: Amercian Physical Society
DOI: 10.1103/physrevb.105.085130

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

Autores: Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete
Publicado en: SciPost Physics, Edición 10/3, 2021, Página(s) 42, ISSN 2542-4653
Editor: Sci post Foundation
DOI: 10.21468/scipostphys.10.3.053

Solving frustrated Ising models using tensor networks

Autores: Bram Vanhecke, Jeanne Colbois, Laurens Vanderstraeten, Frank Verstraete, Frédéric Mila
Publicado en: Physical Review Research, Edición 3/1, 2021, Página(s) 13, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.3.013041

Variational methods for characterizing matrix product operator symmetries

Autores: Anna Francuz; Laurens Lootens; Frank Verstraete; Jacek Dziarmaga
Publicado en: Physical review B, Edición 26, 2021, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.104.195152

Simulating lattice gauge theories within quantum technologies

Autores: 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
Publicado en: The European Physical Journal D, Edición 74/8, 2020, Página(s) 42, ISSN 1434-6060
Editor: Springer Verlag
DOI: 10.1140/epjd/e2020-100571-8

Tangent-space methods for truncating uniform MPS

Autores: Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete
Publicado en: SciPost Physics Core, Edición 4/1, 2021, Página(s) 10, ISSN 2666-9366
Editor: Sci Post foundation
DOI: 10.21468/scipostphyscore.4.1.004

Symmetric cluster expansions with tensor networks

Autores: Bram Vanhecke, Laurens Vanderstraeten, Frank Verstraete
Publicado en: Physical Review A, Edición 103/2, 2021, Página(s) 5, ISSN 2469-9926
Editor: American Physical Society
DOI: 10.1103/physreva.103.l020402

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

Autores: Karel Van Acoleyen, Andrew Hallam, Matthias Bal, Markus Hauru, Jutho Haegeman, Frank Verstraete
Publicado en: Physical Review B, Edición 102/16, 2020, Página(s) 5, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.102.165131

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

Autores: Maarten Van Damme, Robijn Vanhove, Jutho Haegeman, Frank Verstraete, Laurens Vanderstraeten
Publicado en: Physical Review B, Edición 104/11, 2021, Página(s) 11, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.104.115142

Spinon confinement and deconfinement in spin-1 chains

Autores: Laurens Vanderstraeten, Elisabeth Wybo, Natalia Chepiga, Frank Verstraete, Frédéric Mila
Publicado en: Physical Review B, Edición 101/11, 2020, Página(s) 13, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.101.115138

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

Autores: A. Nietner, Bram Vanhecke (UGent) , Frank Verstraete (UGent) , J. Eisert and Laurens Vanderstraeten (UGent)
Publicado en: Quantum, Edición vol.4, 2020, Página(s) 23, ISSN 2521-327X
Editor: Impressum
DOI: 10.22331/q-2020-09-21-328

Uncertainty and trade-offs in quantum multiparameter estimation

Autores: Ilya Kull, Philippe Allard Guérin, Frank Verstraete
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 53/24, 2020, Página(s) 244001, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab7f67

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

Autores: Tom Vieijra, Corneel Casert, Jannes Nys, Wesley De Neve, Jutho Haegeman, Jan Ryckebusch, Frank Verstraete
Publicado en: Physical Review Letters, Edición 124/9, 2020, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.124.097201

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

Autores: Boye Buyens, Simone Montangero, Jutho Haegeman, Frank Verstraete, Karel Van Acoleyen
Publicado en: Physical Review D, Edición 95/9, 2017, Página(s) 23, ISSN 2470-0010
Editor: American Physical Society
DOI: 10.1103/PhysRevD.95.094509

Quantum Gross-Pitaevskii Equation

Autores: Jutho Haegeman, Frank Verstraete, Damian Draxler, Vid Stojevic, Ignacio Cirac, Tobias Osborne
Publicado en: SciPost Physics, Edición 3/1, 2017, Página(s) 18, ISSN 2542-4653
Editor: SciPost Foundation
DOI: 10.21468/SciPostPhys.3.1.006

Bridging Perturbative Expansions with Tensor Networks

Autores: Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
Publicado en: Physical Review Letters, Edición 119/7, 2017, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/PhysRevLett.119.070401

Matrix product density operators: Renormalization fixed points and boundary theories

Autores: J.I. Cirac, D. Pérez-García, N. Schuch, F. Verstraete
Publicado en: Annals of Physics, Edición 378, 2017, Página(s) 100-149, ISSN 0003-4916
Editor: Academic Press
DOI: 10.1016/j.aop.2016.12.030

Renormalization Group Flows of Hamiltonians Using Tensor Networks

Autores: M. Bal, M. Mariën, J. Haegeman, F. Verstraete
Publicado en: Physical Review Letters, Edición 118/25, 2017, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/PhysRevLett.118.250602

Condensation-driven phase transitions in perturbed string nets

Autores: Michaël Mariën, Jutho Haegeman, Paul Fendley, Frank Verstraete
Publicado en: Physical Review B, Edición 96/15, 2017, Página(s) 9, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.96.155127

Matrix product unitaries: structure, symmetries, and topological invariants

Autores: J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Publicado en: Journal of Statistical Mechanics: Theory and Experiment, Edición 2017/8, 2017, Página(s) 083105, ISSN 1742-5468
Editor: Institute of Physics
DOI: 10.1088/1742-5468/aa7e55

Unifying time evolution and optimization with matrix product states

Autores: Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete
Publicado en: Physical Review B, Edición 94/16, 2016, Página(s) 10, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.94.165116

Entanglement of Distillation for Lattice Gauge Theories

Autores: Karel Van Acoleyen, Nick Bultinck, Jutho Haegeman, Michael Marien, Volkher B. Scholz, Frank Verstraete
Publicado en: Physical Review Letters, Edición 117/13, 2016, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/PhysRevLett.117.131602

Symmetry breaking and the geometry of reduced density matrices

Autores: V Zauner, D Draxler, L Vanderstraeten, J Haegeman, F Verstraete
Publicado en: New Journal of Physics, Edición 18/11, 2016, Página(s) 113033, ISSN 1367-2630
Editor: Institute of Physics Publishing
DOI: 10.1088/1367-2630/18/11/113033

Matrix product state renormalization

Autores: M. Bal, M. M. Rams, V. Zauner, J. Haegeman, F. Verstraete
Publicado en: Physical Review B, Edición 94/20, 2016, Página(s) 14, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.94.205122

Gradient methods for variational optimization of projected entangled-pair states

Autores: Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz, Frank Verstraete
Publicado en: Physical Review B, Edición 94/15, 2016, Página(s) 14, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.94.155123

Excitations and the tangent space of projected entangled-pair states

Autores: Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete, Jutho Haegeman
Publicado en: Physical Review B, Edición 92/20, 2015, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/PhysRevB.92.201111

Scattering particles in quantum spin chains

Autores: Laurens Vanderstraeten, Frank Verstraete, Jutho Haegeman
Publicado en: Physical Review B, Edición 92/12, 2015, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/PhysRevB.92.125136

Quasiparticle interactions in frustrated Heisenberg chains

Autores: Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Didier Poilblanc
Publicado en: Physical Review B, Edición 93/23, 2016, Página(s) 8, ISSN 2469-9950
Editor: Amercian Physical Society
DOI: 10.1103/PhysRevB.93.235108

Simulating excitation spectra with projected entangled-pair states

Autores: Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Publicado en: Physical Review B, Edición 99/16, 2019, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.99.165121

Scaling Hypothesis for Matrix Product States

Autores: Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, Frank Verstraete
Publicado en: Physical Review Letters, Edición 123/25, 2019, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/PhysRevLett.123.250604

Quasiparticles in Quantum Spin Chains with Long-Range Interactions

Autores: Laurens Vanderstraeten, Maarten Van Damme, Hans Peter Büchler, Frank Verstraete
Publicado en: Physical Review Letters, Edición 121/9, 2018, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/PhysRevLett.121.090603

Fermionic projected entangled-pair states and topological phases

Autores: Nick Bultinck, Dominic J Williamson, Jutho Haegeman, Frank Verstraete
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 51/2, 2018, Página(s) 025202, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa99cc

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

Autores: Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Läuchli, Frank Verstraete
Publicado en: Physical Review E, Edición 100/6, 2019, ISSN 2470-0045
Editor: American Physical Society
DOI: 10.1103/PhysRevE.100.062136

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

Autores: Nick Bultinck, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Publicado en: Physical Review Letters, Edición 120/15, 2018, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/PhysRevLett.120.156601

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

Autores: Laurens Vanderstraeten, Bram Vanhecke, Frank Verstraete
Publicado en: Physical Review E, Edición 98/4, 2018, ISSN 2470-0045
Editor: Amercian Physical Society
DOI: 10.1103/PhysRevE.98.042145

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

Autores: V. Zauner-Stauber, L. Vanderstraeten, J. Haegeman, I. P. McCulloch, F. Verstraete
Publicado en: Physical Review B, Edición 97/23, 2018, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.97.235155

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

Autores: Alexis Schotte, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Julien Vidal
Publicado en: Physical Review B, Edición 100/24, 2019, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.100.245125

Thermal states as convex combinations of matrix product states

Autores: Mario Berta, Fernando G. S. L. Brandão, Jutho Haegeman, Volkher B. Scholz, Frank Verstraete
Publicado en: Physical Review B, Edición 98/23, 2018, ISSN 2469-9950
Editor: Amercian Physical Society
DOI: 10.1103/physrevb.98.235154

Mapping Topological to Conformal Field Theories through strange Correlators

Autores: Robijn Vanhove, Matthias Bal, Dominic J. Williamson, Nick Bultinck, Jutho Haegeman, Frank Verstraete
Publicado en: Physical Review Letters, Edición 121/17, 2018, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.121.177203

Faster methods for contracting infinite two-dimensional tensor networks

Autores: M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, F. Verstraete
Publicado en: Physical Review B, Edición 98/23, 2018, ISSN 2469-9950
Editor: Amercian Physical Society
DOI: 10.1103/PhysRevB.98.235148

Galois Conjugated Tensor Fusion Categories and Nonunitary Conformal Field Theory

Autores: Laurens Lootens, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Publicado en: Physical Review Letters, Edición 124/12, 2020, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.124.120601

Variational optimization algorithms for uniform matrix product states

Autores: V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, J. Haegeman
Publicado en: Physical Review B, Edición 97/4, 2018, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.97.045145

Tangent-space methods for uniform matrix product states

Autores: Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Publicado en: SciPost Physics Lecture Notes, 2019, ISSN 2590-1990
Editor: Scipost Foundation
DOI: 10.21468/SciPostPhysLectNotes.7

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

Autores: Jutho Haegeman and Frank Verstraete
Publicado en: Annual review of condensed matter physics, Edición 8/1, 2017, ISSN 1947-5454
Editor: Annual Reviews Inc.
DOI: 10.1146/annurev-conmatphys-031016-025507

Anyons and matrix product operator algebras

Autores: Nick Bultinck, Michaël Mariën, D.J. Williamson, M.B. Sahinoglu, Jutho Haegeman and Frank Verstraete
Publicado en: Annals of Physics, Edición 378, 2017, ISSN 0003-4916
Editor: Academic Press
DOI: 10.1016/j.aop.2017.01.004

Fermionic matrix product states and one-dimensional topological phases

Autores: Nick Bultinck, Dominic J. Williemson, Jutho Haegeman and Frank Verstraete
Publicado en: Physical Review B, Edición 95/7, 2017, Página(s) 24, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.95.075108

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

Autores: Michaël Mariën, Koenraad Audenaert, Karel van Acoleyen and Frank Verstraete
Publicado en: Communications in Mathematical Physics, Edición 346/1, 2016, Página(s) 35-73, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-016-2709-5

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

Autores: Damian Draxler, Jutho Haegeman , Frank Verstraete and Matteo Rizzi
Publicado en: Physical Review B, Edición 95/4, 2017, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.95.045145

Tensor networks for gauge field theories

Autores: Boye Buyens , Jutho Haegeman , Frank Verstraete and Karel Van Acoleyen
Publicado en: Proceeding of science, Edición 280, 2016, Página(s) 7, ISSN 1824-8039
Editor: POS

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

Autores: Ling Wang, Zheng-Cheng Gu, Frank Verstraete and Xiao-Gang Wen
Publicado en: Physical review B, Edición 94/7, 2016, Página(s) 6, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/PhysRevB.94.075143

Hamiltonian simulation of the Schwinger model at finite temperature

Autores: Boye Buyens, Frank Verstraetet and Karel Van Acoleyen
Publicado en: Physical Review D, Edición 94, 2016, Página(s) 33, ISSN 2470-0010
Editor: American Physical Society
DOI: 10.1103/PhysRevD.94.085018

Confinement and string breaking for QED2 in the Hamiltonian picture

Autores: Boye Buyens , Jutho Haegeman, Henri Verschelde, Frank Verstraete and Karel Van Acoleyen
Publicado en: Physical review X, Edición 6/4, 2016, Página(s) 32, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/PhysRevX.6.041040

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

Autores: Marek M Rams, Valentin Zauner, Matthias Bal, Jutho Haegeman and Frank Verstraete
Publicado en: Physical review B, Edición 92/23, 2016, Página(s) 13, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/PhysRevB.92.235150

Characterizing Topological Order with Matrix Product Operators

Autores: Mehmet Burak Şahinoğlu, Dominic Williamson, Nick Bultinck, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Frank Verstraete
Publicado en: Annales Henri Poincaré, Edición 22/2, 2021, Página(s) 563-592, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-020-00992-4

Lattice regularisation and entanglement structure of the Gross-Neveu model

Autores: Gertian Roose, Nick Bultinck, Laurens Vanderstraeten, Frank Verstraete, Karel Van Acoleyen, Jutho Haegeman
Publicado en: Journal of High Energy Physics, Edición 2021/7, 2021, Página(s) 34, ISSN 1029-8479
Editor: Institute of Physics Publishing
DOI: 10.1007/jhep07(2021)207

Real-time scattering of interacting quasiparticles in quantum spin chains

Autores: Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis, Jutho Haegeman, Frank Verstraete
Publicado en: Physical Review Research, Edición 3/1, 2021, Página(s) 8, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.3.013078

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