Symmetries and Entanglement in Quantum Matter

Detecting emergent continuous symmetries at quantum criticality

Autores: Mingru Yang, Bram Vanhecke, Norbert Schuch
Publicado en: Physical Review Letters, Edición Vol. 131, Iss. 3, 2023, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.131.036505

Gauging quantum states with non-anomalous matrix product operator symmetries

Autores: Ilya Kull; Jose Garre-Rubio
Publicado en: Physical Review B, Edición Vol. 107, Iss. 7, 2023, ISSN 2469-9969
Editor: American Physical Society

Validating phase-space methods with tensor networks in two-dimensional spin models with power-law interactions

Autores: Sean R. Muleady, Mingru Yang, Steven R. White, Ana Maria Rey
Publicado en: Physical Review Letters, Edición Vol. 131, Iss. 15, 2023, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.131.150401

Entanglement Order Parameters and Critical Behavior for Topological Phase Transitions and Beyond

Autores: Mohsin Iqbal, Norbert Schuch
Publicado en: Physical Review X, Edición Vol. 11, Iss. 4, 2021, Página(s) article nr. 041014, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/physrevx.11.041014

On tensor network representations of the (3+1)d toric code

Autores: Clement Delcamp, Norbert Schuch
Publicado en: Quantum, Edición Vol. 5, 2021, Página(s) 604-635, ISSN 2521-327X
Editor: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2021-12-16-604

Fractionalization of subsystem symmetries in two dimensions

Autores: David T. Stephen, Arpit Dua, José Garre-Rubio, Dominic J. Williamson, Michael Hermele
Publicado en: Physical Review B, Edición Vol. 106, Iss. 8, 2022, ISSN 2469-9969
Editor: American Physical Society
DOI: 10.1103/physrevb.106.085104

Symmetry Protected Topological Order in Open Quantum Systems

Autores: Caroline de Groot, Alex Turzillo, Norbert Schuch
Publicado en: Quantum, Edición Vol. 6, 2022, Página(s) 856, ISSN 2521-327X
Editor: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2022-11-10-856

Generating function for tensor network diagrammatic summation

Autores: Wei-Lin Tu; Wei-Lin Tu; Huan-Kuang Wu; Norbert Schuch; Naoki Kawashima; Ji-Yao Chen
Publicado en: Physical Review B, Edición Vol. 103, Iss. 20, 2021, Página(s) article nr. 205155, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.103.205155

Locality optimization for parent Hamiltonians of tensor networks

Autores: Giuliano Giudici, J. Ignacio Cirac, Norbert Schuch
Publicado en: Physical Review B, Edición Vol. 106, Iss. 3, 2022, ISSN 2469-9969
Editor: American Physical Society
DOI: 10.1103/physrevb.106.035109

Tensor Networks Can Resolve Fermi Surfaces

Autores: Quinten Mortier, Norbert Schuch, Frank Verstraete, Jutho Haegeman
Publicado en: Physical Review Letters, Edición Vol. 129, Iss. 20, 2022, ISSN 1079-7114
Editor: American Physical Society
DOI: 10.1103/physrevlett.129.206401

On the stability of topological order in tensor network states

Autores: Dominic J. Williamson, Clement Delcamp, Frank Verstraete, Norbert Schuch
Publicado en: Physical Review B, Edición Vol. 104, Iss. 23, 2021, Página(s) article nr. 235151, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.104.235151

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

Autores: Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch, Frank Verstraete
Publicado en: Physical Review B, Edición Vol. 105, Iss. 8, 2022, Página(s) article nr. 085130, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.105.085130

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

Autores: Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Publicado en: Reviews of Modern Physics, Edición Vol. 93, Iss. 4, 2021, Página(s) article nr. 045003, ISSN 0034-6861
Editor: American Physical Society
DOI: 10.1103/revmodphys.93.045003

Preparation and verification of tensor network states

Autores: Esther Cruz; Flavio Baccari; Jordi Tura; Norbert Schuch; J. Ignacio Cirac
Publicado en: Physical Review Research, Edición Vol. 4, Iss. 2, 2022, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.4.023161

Classifying phases protected by matrix product operator symmetries using matrix product states

Autores: José Garre-Rubio, Laurens Lootens, András Molnár
Publicado en: Quantum, Edición Vol.7, 2023, Página(s) 927, ISSN 2521-327X
Editor: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2023-02-21-927

Fractional chiral hinge insulator

Autores: Anna Hackenbroich, Ana Hudomal, Ana Hudomal, Norbert Schuch, B. Andrei Bernevig, Nicolas Regnault
Publicado en: Physical Review B, Edición Vol. 103, Iss. 16, 2021, Página(s) article nr. L161110, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.103.l161110

Symmetries and local transformations of translationally invariant Matrix Product States

Autores: Martin Hebenstreit, David Sauerwein, Andras Molnar, J. Ignacio Cirac, Barbara Kraus
Publicado en: Physical Review A, Edición Vol. 105, Iss. 3, 2022, Página(s) article nr. 032424, ISSN 2469-9926
Editor: American Physical Society
DOI: 10.1103/physreva.105.032424

Entanglement Order Parameters and Critical Behavior for Topological Phase Transitions and Beyond

Autores: Mohsin Iqbal; Norbert Schuch; Norbert Schuch
Publicado en: Physical Review X, Edición 11, 2021, Página(s) 041014, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/physrevx.11.041014

Characterization of topological phase transitions from a non-Abelian topological state and its Galois conjugate through condensation and confinement order parameters

Autores: Wen-Tao Xu, Norbert Schuch
Publicado en: Physical Review B, Edición Vol. 104, Iss. 15, 2021, Página(s) article nr. 155119, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.104.155119

Complete characterization of non-Abelian topological phase transitions and detection of anyon splitting with projected entangled pair states

Autores: Wen-Tao Xu; Jose Garre-Rubio; Norbert Schuch
Publicado en: Physical Review B, Edición Vol. 106, Iss. 20, 2022, ISSN 2469-9969
Editor: American Physical Society
DOI: 10.1103/physrevb.106.205139

Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS

Autores: Mark J. Arildsen, Norbert Schuch, Andreas W. W. Ludwig
Publicado en: arXiv, Edición 2207.03246, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2207.03246

Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states

Autores: Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio, Norbert Schuch, J. Ignacio Cirac, David Pérez-García
Publicado en: arXiv, Edición 2204.05940, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2204.05940

Stable and efficient differentiation of tensor network algorithms

Autores: Anna Francuz, Norbert Schuch, Bram Vanhecke
Publicado en: arXiv, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2311.11894

Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States

Autores: Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár, David Pérez-García
Publicado en: arXiv, Edición 2204.06295, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2204.06295

Lower Bounding Ground-State Energies of Local Hamiltonians Through the Renormalization Group

Autores: Ilya Kull, Norbert Schuch, Ben Dive, Miguel Navascués
Publicado en: arXiv, Edición 2212.03014, 2022
Editor: arXiv
DOI: 10.48550/arxiv.2212.03014

Entanglement Spectrum as a diagnostic of chirality of Topological Spin Liquids: Analysis of an SU(3) PEPS

Autores: Mark J. Arildsen, Ji-Yao Chen, Norbert Schuch, Andreas W. W. Ludwig
Publicado en: arXiv, Edición 2305.13240, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2305.13240

Generating function for projected entangled-pair states

Autores: Wei-Lin Tu, Laurens Vanderstraeten, Norbert Schuch, Hyun-Yong Lee, Naoki Kawashima, Ji-Yao Chen
Publicado en: arXiv, 2023
Editor: arXiv
DOI: 10.48550/arxiv.2307.08083

Tensor networks for active inference with discrete observation spaces

Autores: Samuel T. Wauthier, Bram Vanhecke, Tim Verbelen, Bart Dhoedt
Publicado en: Machine Learning and the Physical Sciences workshop, part of NeurIPS2022, the 36th Conference on Neural Information Processing Systems, 2022
Editor: NeurIPS2022

Learning Generative Models for Active Inference using Tensor Networks

Autores: Samuel T. Wauthier, Bram Vanhecke, Tim Verbelen, Bart Dhoedt
Publicado en: IWAI2022 (ECML/PKDD 2022 workshop), 2022
Editor: arXiv / IWAI 2022: 3rd International Workshop on Active Inference (ECML/PKDD workshop)
DOI: 10.48550/arxiv.2208.08713

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