Publications
2024
Planning with tensor networks based on active inference
Wauthier, S. T., Verbelen, T., Dhoedt, B. & Vanhecke, B., Dec 2024, In: Machine Learning: Science and Technology. 5, 4, 22 p., 045012.Publications: Contribution to journal › Article › Peer Reviewed
Tangent Space Generators of Matrix Product States and Exact Floquet Quantum Scars
Ljubotina, M., Petrova, E., Schuch, N. & Serbyn, M., Oct 2024, In: PRX Quantum. 5, 4, p. 040311 18 p.Publications: Contribution to journal › Article › Peer Reviewed
Emergent (2+1)D topological orders from iterative (1+1)D gauging
Garre Rubio, J., Dec 2024, In: Nature Communications. 15, 1, 7986.Publications: Contribution to journal › Article › Peer Reviewed
Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks
Dreyer, H., Vanderstraeten, L., Chen, J-Y., Verresen, R. & Schuch, N., 15 May 2024, In: Physical Review B. 109, p. 195161 7 p.Publications: Contribution to journal › Article › Peer Reviewed
Lower Bounds on Ground-State Energies of Local Hamiltonians through the Renormalization Group
Kull, I., Schuch, N., Dive, B. & Navascués, M., Apr 2024, In: Physical Review X. 14, 2, 31 p., 021008.Publications: Contribution to journal › Article › Peer Reviewed
Generating Function for Projected Entangled-Pair States
Tu, W-L., Vanderstraeten, L., Schuch, N., Lee, H-Y., Kawashima, N. & Chen, J-Y., Mar 2024, In: PRX Quantum. 5, 1, 15 p., 010335.Publications: Contribution to journal › Article › Peer Reviewed
2023
Entanglement spectra of nonchiral topological (2+1)-dimensional phases with strong time-reversal symmetry breaking, Li-Haldane state counting, and PEPS
Arildsen, M. J., Schuch, N. & Ludwig, A. W. W., 15 Dec 2023, In: Physical Review B. 108, 24, 18 p., 245150.Publications: Contribution to journal › Article › Peer Reviewed
Validating Phase-Space Methods with Tensor Networks in Two-Dimensional Spin Models with Power-Law Interactions
Muleady, S. R., Yang, M., White, S. R. & Rey, A. M., 13 Oct 2023, In: Physical Review Letters. 131, 15, 7 p., 150401.Publications: Contribution to journal › Article › Peer Reviewed
Detecting Emergent Continuous Symmetries at Quantum Criticality
Yang, M., Vanhecke, B. & Schuch, N., 21 Jul 2023, In: Physical Review Letters. 131, 3, 7 p., 036505.Publications: Contribution to journal › Article › Peer Reviewed
Simulating thermal density operators with cluster expansions and tensor networks
Vanhecke, B., Devoogdt, D., Verstraete, F. & Vanderstraeten, L., Apr 2023, In: SciPost Physics. 14, 4, 18 p., 085.Publications: Contribution to journal › Article › Peer Reviewed
Classifying phases protected by matrix product operator symmetries using matrix product states
Garre-Rubio, J., Lootens, L. & Molnár, A., 21 Feb 2023, In: Quantum. 7, p. 927 12563v3.Publications: Contribution to journal › Article › Peer Reviewed
Gauging quantum states with nonanomalous matrix product operator symmetries
Garre-Rubio, J. & Kull, I., 15 Feb 2023, In: Physical Review B. 107, 7, 12 p., 075137.Publications: Contribution to journal › Article › Peer Reviewed
Contrasting pseudocriticality in the classical two-dimensional Heisenberg and RP2 models: Zero-temperature phase transition versus finite-temperature crossover
Burgelman, L., Devos, L., Vanhecke, B., Verstraete, F. & Vanderstraeten, L., 13 Jan 2023, In: Physical Review E. 107, 1, 18 p., 014117.Publications: Contribution to journal › Article › Peer Reviewed
2022
Tensor networks for active inference with discrete observation spaces
Wauthier, S. T., Vanhecke, B., Verbelen, T. & Dhoedt, B., 29 Nov 2022. 6 p.Publications: Contribution to conference › Paper
Complete characterization of non-Abelian topological phase transitions and detection of anyon splitting with projected entangled pair states
Xu, W. T., Garre-Rubio, J. & Schuch, N., 23 Nov 2022, In: Physical Review B. 106, 20, 22 p., 205139.Publications: Contribution to journal › Article › Peer Reviewed
Tensor Networks Can Resolve Fermi Surfaces
Mortier, Q., Schuch, N., Verstraete, F. & Haegeman, J., 11 Nov 2022, In: Physical Review Letters. 129, 20, 206401.Publications: Contribution to journal › Article › Peer Reviewed
Symmetry Protected Topological Order in Open Quantum Systems
Groot, C. D., Turzillo, A. & Schuch, N., 10 Nov 2022, In: Quantum. 6, p. 1-39 39 p., 856.Publications: Contribution to journal › Article › Peer Reviewed
Partial lifting of degeneracy in the J1-J2-J3 Ising antiferromagnet on the kagome lattice
Colbois, J., Vanhecke, B., Vanderstraeten, L., Smerald, A., Verstraete, F. & Mila, F., 2 Nov 2022, In: Physical Review B. 106, 17, 20 p., 174403.Publications: Contribution to journal › Article › Peer Reviewed
Learning Generative Models for Active Inference using Tensor Networks
Wauthier, S. T., Vanhecke, B., Verbelen, T. & Dhoedt, B., 24 Oct 2022. 14 p.Publications: Contribution to conference › Paper
Fractionalization of subsystem symmetries in two dimensions
Stephen, D. T., Dua, A., Garre-Rubio, J., Williamson, D. J. & Hermele, M., 15 Aug 2022, In: Physical Review B. 106, 8, 16 p., 085104.Publications: Contribution to journal › Article › Peer Reviewed
Locality optimization for parent Hamiltonians of tensor networks
Giudici, G., Cirac, J. I. & Schuch, N., 15 Jul 2022, In: Physical Review B. 106, 3, 12 p., 035109.Publications: Contribution to journal › Article › Peer Reviewed
Preparation and verification of tensor network states
Cruz, E., Baccari, F., Tura, J., Schuch, N. & Cirac, J. I., 31 May 2022, In: Physical Review Research. 4, 2, 19 p., 023161.Publications: Contribution to journal › Article › Peer Reviewed
Variational methods for contracting projected entangled-pair states
Vanderstraeten, L., Burgelman, L., Ponsioen, B., Van Damme, M., Vanhecke, B., Corboz, P., Haegeman, J. & Verstraete, F., 25 May 2022, In: Physical Review B. 105, 19, 17 p., 195140.Publications: Contribution to journal › Article › Peer Reviewed
Characterization of Supernovae Based on the Spectral–Temporal Energy Distribution: Two Possible SN Ib Subtypes
Bengyat, O. & Gal-Yam, A., 2 May 2022, In: The Astrophysical Journal. 930, 1, 11 p., 31.Publications: Contribution to journal › Article › Peer Reviewed
Symmetries and local transformations of translationally invariant matrix product states
Hebenstreit, M., Sauerwein, D., Molnár, A., Cirac, J. I. & Kraus, B., 11 Mar 2022, In: Physical Review A. 105, 3, 37 p., 032424.Publications: Contribution to journal › Article › Peer Reviewed
Mapping between Morita-equivalent string-net states with a constant depth quantum circuit
Lootens, L., Vancraeynest-De Cuiper, B., Schuch, N. & Verstraete, F., 17 Feb 2022, In: Physical Review B. 105, 8, 12 p., 085130.Publications: Contribution to journal › Article › Peer Reviewed
2021
On the stability of topological order in tensor network states
Williamson, D. J., Delcamp, C., Verstraete, F. & Schuch, N., 27 Dec 2021, In: Physical Review B. 104, 23, 15 p., 235151.Publications: Contribution to journal › Article › Peer Reviewed
Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Cirac, J. I., Pérez-García, D., Schuch, N. & Verstraete, F., 17 Dec 2021, In: Reviews of Modern Physics. 93, 4, 65 p., 045003.Publications: Contribution to journal › Article › Peer Reviewed
On tensor network representations of the (3+1)d toric code
Delcamp, C. & Schuch, N., 16 Dec 2021, In: Quantum. 5, p. 604 31 p.Publications: Contribution to journal › Article › Peer Reviewed
Entanglement Order Parameters and Critical Behavior for Topological Phase Transitions and Beyond
Iqbal, M. & Schuch, N., 20 Oct 2021, In: Physical Review X. 11, 4, 27 p., 041014.Publications: Contribution to journal › Article › Peer Reviewed
Characterization of topological phase transitions from a non-Abelian topological state and its Galois conjugate through condensation and confinement order parameters
Xu, W-T. & Schuch, N., 11 Oct 2021, In: Physical Review B. 104, 15, 16 p., 155119.Publications: Contribution to journal › Article › Peer Reviewed
Generating function for tensor network diagrammatic summation
Tu, W-L., Wu, H-K., Schuch, N., Kawashima, N. & Chen, J-Y., 28 May 2021, In: Physical Review B. 103, 20, 6 p., 205155.Publications: Contribution to journal › Article › Peer Reviewed
Fractional chiral hinge insulator
Hackenbroich, A., Hudomal, A., Schuch, N., Bernevig, B. A. & Regnault, N., 23 Apr 2021, In: Physical Review B. 103, 16, 6 p., L161110.Publications: Contribution to journal › Article › Peer Reviewed
Characterizing Topological Order with Matrix Product Operators
Şahinoğlu, M. B., Williamson, D., Bultinck, N., Mariën, M., Haegeman, J., Schuch, N. & Verstraete, F., Feb 2021, In: Annales Henri Poincare. 22, 2, p. 563–592 30 p.Publications: Contribution to journal › Article › Peer Reviewed
2020
Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations
Scarpa, G., Molnar, A., Ge, Y., Garcia-Ripoll, J. J., Schuch, N., Perez-Garcia, D. & Iblisdir, S., 20 Nov 2020, In: Physical Review Letters. 125, 21, 6 p., 210504.Publications: Contribution to journal › Article › Peer Reviewed