Quantum Tensor Networks and Entanglement

Publikacje

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

Autorzy: Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch and Frank Verstraete
Opublikowane w: Phyiscal review B, 2022, ISSN 2469-9950
Wydawca: Amercian Physical Society
DOI: 10.1103/physrevb.105.085130

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

Autorzy: Laurens Lootens, Jürgen Fuchs, Jutho Haegeman, Christoph Schweigert, Frank Verstraete
Opublikowane w: SciPost Physics, Numer 10/3, 2021, Strona(/y) 42, ISSN 2542-4653
Wydawca: Sci post Foundation
DOI: 10.21468/scipostphys.10.3.053

Solving frustrated Ising models using tensor networks

Autorzy: Bram Vanhecke, Jeanne Colbois, Laurens Vanderstraeten, Frank Verstraete, Frédéric Mila
Opublikowane w: Physical Review Research, Numer 3/1, 2021, Strona(/y) 13, ISSN 2643-1564
Wydawca: American Physical Society
DOI: 10.1103/physrevresearch.3.013041

Variational methods for characterizing matrix product operator symmetries

Autorzy: Anna Francuz; Laurens Lootens; Frank Verstraete; Jacek Dziarmaga
Opublikowane w: Physical review B, Numer 26, 2021, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/physrevb.104.195152

Simulating lattice gauge theories within quantum technologies

Autorzy: 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
Opublikowane w: The European Physical Journal D, Numer 74/8, 2020, Strona(/y) 42, ISSN 1434-6060
Wydawca: Springer Verlag
DOI: 10.1140/epjd/e2020-100571-8

Tangent-space methods for truncating uniform MPS

Autorzy: Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete
Opublikowane w: SciPost Physics Core, Numer 4/1, 2021, Strona(/y) 10, ISSN 2666-9366
Wydawca: Sci Post foundation
DOI: 10.21468/scipostphyscore.4.1.004

Symmetric cluster expansions with tensor networks

Autorzy: Bram Vanhecke, Laurens Vanderstraeten, Frank Verstraete
Opublikowane w: Physical Review A, Numer 103/2, 2021, Strona(/y) 5, ISSN 2469-9926
Wydawca: American Physical Society
DOI: 10.1103/physreva.103.l020402

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

Autorzy: Karel Van Acoleyen, Andrew Hallam, Matthias Bal, Markus Hauru, Jutho Haegeman, Frank Verstraete
Opublikowane w: Physical Review B, Numer 102/16, 2020, Strona(/y) 5, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/physrevb.102.165131

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

Autorzy: Maarten Van Damme, Robijn Vanhove, Jutho Haegeman, Frank Verstraete, Laurens Vanderstraeten
Opublikowane w: Physical Review B, Numer 104/11, 2021, Strona(/y) 11, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/physrevb.104.115142

Spinon confinement and deconfinement in spin-1 chains

Autorzy: Laurens Vanderstraeten, Elisabeth Wybo, Natalia Chepiga, Frank Verstraete, Frédéric Mila
Opublikowane w: Physical Review B, Numer 101/11, 2020, Strona(/y) 13, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/physrevb.101.115138

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

Autorzy: A. Nietner, Bram Vanhecke (UGent) , Frank Verstraete (UGent) , J. Eisert and Laurens Vanderstraeten (UGent)
Opublikowane w: Quantum, Numer vol.4, 2020, Strona(/y) 23, ISSN 2521-327X
Wydawca: Impressum
DOI: 10.22331/q-2020-09-21-328

Uncertainty and trade-offs in quantum multiparameter estimation

Autorzy: Ilya Kull, Philippe Allard Guérin, Frank Verstraete
Opublikowane w: Journal of Physics A: Mathematical and Theoretical, Numer 53/24, 2020, Strona(/y) 244001, ISSN 1751-8113
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab7f67

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

Autorzy: Tom Vieijra, Corneel Casert, Jannes Nys, Wesley De Neve, Jutho Haegeman, Jan Ryckebusch, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 124/9, 2020, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/physrevlett.124.097201

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

Autorzy: Boye Buyens, Simone Montangero, Jutho Haegeman, Frank Verstraete, Karel Van Acoleyen
Opublikowane w: Physical Review D, Numer 95/9, 2017, Strona(/y) 23, ISSN 2470-0010
Wydawca: American Physical Society
DOI: 10.1103/PhysRevD.95.094509

Quantum Gross-Pitaevskii Equation

Autorzy: Jutho Haegeman, Frank Verstraete, Damian Draxler, Vid Stojevic, Ignacio Cirac, Tobias Osborne
Opublikowane w: SciPost Physics, Numer 3/1, 2017, Strona(/y) 18, ISSN 2542-4653
Wydawca: SciPost Foundation
DOI: 10.21468/SciPostPhys.3.1.006

Bridging Perturbative Expansions with Tensor Networks

Autorzy: Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 119/7, 2017, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/PhysRevLett.119.070401

Matrix product density operators: Renormalization fixed points and boundary theories

Autorzy: J.I. Cirac, D. Pérez-García, N. Schuch, F. Verstraete
Opublikowane w: Annals of Physics, Numer 378, 2017, Strona(/y) 100-149, ISSN 0003-4916
Wydawca: Academic Press
DOI: 10.1016/j.aop.2016.12.030

Renormalization Group Flows of Hamiltonians Using Tensor Networks

Autorzy: M. Bal, M. Mariën, J. Haegeman, F. Verstraete
Opublikowane w: Physical Review Letters, Numer 118/25, 2017, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/PhysRevLett.118.250602

Condensation-driven phase transitions in perturbed string nets

Autorzy: Michaël Mariën, Jutho Haegeman, Paul Fendley, Frank Verstraete
Opublikowane w: Physical Review B, Numer 96/15, 2017, Strona(/y) 9, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.96.155127

Matrix product unitaries: structure, symmetries, and topological invariants

Autorzy: J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Opublikowane w: Journal of Statistical Mechanics: Theory and Experiment, Numer 2017/8, 2017, Strona(/y) 083105, ISSN 1742-5468
Wydawca: Institute of Physics
DOI: 10.1088/1742-5468/aa7e55

Unifying time evolution and optimization with matrix product states

Autorzy: Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete
Opublikowane w: Physical Review B, Numer 94/16, 2016, Strona(/y) 10, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.94.165116

Entanglement of Distillation for Lattice Gauge Theories

Autorzy: Karel Van Acoleyen, Nick Bultinck, Jutho Haegeman, Michael Marien, Volkher B. Scholz, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 117/13, 2016, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/PhysRevLett.117.131602

Symmetry breaking and the geometry of reduced density matrices

Autorzy: V Zauner, D Draxler, L Vanderstraeten, J Haegeman, F Verstraete
Opublikowane w: New Journal of Physics, Numer 18/11, 2016, Strona(/y) 113033, ISSN 1367-2630
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1367-2630/18/11/113033

Matrix product state renormalization

Autorzy: M. Bal, M. M. Rams, V. Zauner, J. Haegeman, F. Verstraete
Opublikowane w: Physical Review B, Numer 94/20, 2016, Strona(/y) 14, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.94.205122

Gradient methods for variational optimization of projected entangled-pair states

Autorzy: Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz, Frank Verstraete
Opublikowane w: Physical Review B, Numer 94/15, 2016, Strona(/y) 14, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.94.155123

Excitations and the tangent space of projected entangled-pair states

Autorzy: Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete, Jutho Haegeman
Opublikowane w: Physical Review B, Numer 92/20, 2015, ISSN 1098-0121
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.92.201111

Scattering particles in quantum spin chains

Autorzy: Laurens Vanderstraeten, Frank Verstraete, Jutho Haegeman
Opublikowane w: Physical Review B, Numer 92/12, 2015, ISSN 1098-0121
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.92.125136

Quasiparticle interactions in frustrated Heisenberg chains

Autorzy: Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Didier Poilblanc
Opublikowane w: Physical Review B, Numer 93/23, 2016, Strona(/y) 8, ISSN 2469-9950
Wydawca: Amercian Physical Society
DOI: 10.1103/PhysRevB.93.235108

Simulating excitation spectra with projected entangled-pair states

Autorzy: Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Opublikowane w: Physical Review B, Numer 99/16, 2019, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.99.165121

Scaling Hypothesis for Matrix Product States

Autorzy: Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 123/25, 2019, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/PhysRevLett.123.250604

Quasiparticles in Quantum Spin Chains with Long-Range Interactions

Autorzy: Laurens Vanderstraeten, Maarten Van Damme, Hans Peter Büchler, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 121/9, 2018, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/PhysRevLett.121.090603

Fermionic projected entangled-pair states and topological phases

Autorzy: Nick Bultinck, Dominic J Williamson, Jutho Haegeman, Frank Verstraete
Opublikowane w: Journal of Physics A: Mathematical and Theoretical, Numer 51/2, 2018, Strona(/y) 025202, ISSN 1751-8113
Wydawca: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa99cc

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

Autorzy: Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Läuchli, Frank Verstraete
Opublikowane w: Physical Review E, Numer 100/6, 2019, ISSN 2470-0045
Wydawca: American Physical Society
DOI: 10.1103/PhysRevE.100.062136

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

Autorzy: Nick Bultinck, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 120/15, 2018, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/PhysRevLett.120.156601

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

Autorzy: Laurens Vanderstraeten, Bram Vanhecke, Frank Verstraete
Opublikowane w: Physical Review E, Numer 98/4, 2018, ISSN 2470-0045
Wydawca: Amercian Physical Society
DOI: 10.1103/PhysRevE.98.042145

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

Autorzy: V. Zauner-Stauber, L. Vanderstraeten, J. Haegeman, I. P. McCulloch, F. Verstraete
Opublikowane w: Physical Review B, Numer 97/23, 2018, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.97.235155

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

Autorzy: Alexis Schotte, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Julien Vidal
Opublikowane w: Physical Review B, Numer 100/24, 2019, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/physrevb.100.245125

Thermal states as convex combinations of matrix product states

Autorzy: Mario Berta, Fernando G. S. L. Brandão, Jutho Haegeman, Volkher B. Scholz, Frank Verstraete
Opublikowane w: Physical Review B, Numer 98/23, 2018, ISSN 2469-9950
Wydawca: Amercian Physical Society
DOI: 10.1103/physrevb.98.235154

Mapping Topological to Conformal Field Theories through strange Correlators

Autorzy: Robijn Vanhove, Matthias Bal, Dominic J. Williamson, Nick Bultinck, Jutho Haegeman, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 121/17, 2018, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/physrevlett.121.177203

Faster methods for contracting infinite two-dimensional tensor networks

Autorzy: M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, F. Verstraete
Opublikowane w: Physical Review B, Numer 98/23, 2018, ISSN 2469-9950
Wydawca: Amercian Physical Society
DOI: 10.1103/PhysRevB.98.235148

Galois Conjugated Tensor Fusion Categories and Nonunitary Conformal Field Theory

Autorzy: Laurens Lootens, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Opublikowane w: Physical Review Letters, Numer 124/12, 2020, ISSN 0031-9007
Wydawca: American Physical Society
DOI: 10.1103/physrevlett.124.120601

Variational optimization algorithms for uniform matrix product states

Autorzy: V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, J. Haegeman
Opublikowane w: Physical Review B, Numer 97/4, 2018, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.97.045145

Tangent-space methods for uniform matrix product states

Autorzy: Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Opublikowane w: SciPost Physics Lecture Notes, 2019, ISSN 2590-1990
Wydawca: Scipost Foundation
DOI: 10.21468/SciPostPhysLectNotes.7

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

Autorzy: Jutho Haegeman and Frank Verstraete
Opublikowane w: Annual review of condensed matter physics, Numer 8/1, 2017, ISSN 1947-5454
Wydawca: Annual Reviews Inc.
DOI: 10.1146/annurev-conmatphys-031016-025507

Anyons and matrix product operator algebras

Autorzy: Nick Bultinck, Michaël Mariën, D.J. Williamson, M.B. Sahinoglu, Jutho Haegeman and Frank Verstraete
Opublikowane w: Annals of Physics, Numer 378, 2017, ISSN 0003-4916
Wydawca: Academic Press
DOI: 10.1016/j.aop.2017.01.004

Fermionic matrix product states and one-dimensional topological phases

Autorzy: Nick Bultinck, Dominic J. Williemson, Jutho Haegeman and Frank Verstraete
Opublikowane w: Physical Review B, Numer 95/7, 2017, Strona(/y) 24, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.95.075108

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

Autorzy: Michaël Mariën, Koenraad Audenaert, Karel van Acoleyen and Frank Verstraete
Opublikowane w: Communications in Mathematical Physics, Numer 346/1, 2016, Strona(/y) 35-73, ISSN 0010-3616
Wydawca: Springer Verlag
DOI: 10.1007/s00220-016-2709-5

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

Autorzy: Damian Draxler, Jutho Haegeman , Frank Verstraete and Matteo Rizzi
Opublikowane w: Physical Review B, Numer 95/4, 2017, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.95.045145

Tensor networks for gauge field theories

Autorzy: Boye Buyens , Jutho Haegeman , Frank Verstraete and Karel Van Acoleyen
Opublikowane w: Proceeding of science, Numer 280, 2016, Strona(/y) 7, ISSN 1824-8039
Wydawca: POS

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

Autorzy: Ling Wang, Zheng-Cheng Gu, Frank Verstraete and Xiao-Gang Wen
Opublikowane w: Physical review B, Numer 94/7, 2016, Strona(/y) 6, ISSN 2469-9950
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.94.075143

Hamiltonian simulation of the Schwinger model at finite temperature

Autorzy: Boye Buyens, Frank Verstraetet and Karel Van Acoleyen
Opublikowane w: Physical Review D, Numer 94, 2016, Strona(/y) 33, ISSN 2470-0010
Wydawca: American Physical Society
DOI: 10.1103/PhysRevD.94.085018

Confinement and string breaking for QED2 in the Hamiltonian picture

Autorzy: Boye Buyens , Jutho Haegeman, Henri Verschelde, Frank Verstraete and Karel Van Acoleyen
Opublikowane w: Physical review X, Numer 6/4, 2016, Strona(/y) 32, ISSN 2160-3308
Wydawca: American Physical Society
DOI: 10.1103/PhysRevX.6.041040

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

Autorzy: Marek M Rams, Valentin Zauner, Matthias Bal, Jutho Haegeman and Frank Verstraete
Opublikowane w: Physical review B, Numer 92/23, 2016, Strona(/y) 13, ISSN 1098-0121
Wydawca: American Physical Society
DOI: 10.1103/PhysRevB.92.235150

Characterizing Topological Order with Matrix Product Operators

Autorzy: Mehmet Burak Şahinoğlu, Dominic Williamson, Nick Bultinck, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Frank Verstraete
Opublikowane w: Annales Henri Poincaré, Numer 22/2, 2021, Strona(/y) 563-592, ISSN 1424-0637
Wydawca: Birkhauser Verlag
DOI: 10.1007/s00023-020-00992-4

Lattice regularisation and entanglement structure of the Gross-Neveu model

Autorzy: Gertian Roose, Nick Bultinck, Laurens Vanderstraeten, Frank Verstraete, Karel Van Acoleyen, Jutho Haegeman
Opublikowane w: Journal of High Energy Physics, Numer 2021/7, 2021, Strona(/y) 34, ISSN 1029-8479
Wydawca: Institute of Physics Publishing
DOI: 10.1007/jhep07(2021)207

Real-time scattering of interacting quasiparticles in quantum spin chains

Autorzy: Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis, Jutho Haegeman, Frank Verstraete
Opublikowane w: Physical Review Research, Numer 3/1, 2021, Strona(/y) 8, ISSN 2643-1564
Wydawca: American Physical Society
DOI: 10.1103/physrevresearch.3.013078

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