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Publications per year
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2026
A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems
Rai, K. S., Kull, I., Emonts, P., Tura, J., Schuch, N. & Baccari, F., 13 Apr 2026, In: Quantum. 10, 25 p., 2065.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Anyonic symmetry fractionalization in symmetry enriched topological phases
Garre Rubio, J. (Corresponding author) & Ogata, Y., 30 Mar 2026, In: Journal of Mathematical Physics. 67, 031903.Publications: Contribution to journal › Article › Peer Reviewed
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A Simpler Exponential-Time Approximation Algorithm for MAX-k-SAT
Buhrman, H., Gharibian, S., Landau, Z., Le Gall, F., Schuch, N. & Tamaki, S., 2026, Proceedings - 2026 SIAM Symposium on Simplicity in Algorithms, SOSA 2026. Assadi, S. & Rotenberg, E. (eds.). Society for Industrial and Applied Mathematics Publications, p. 247-253 7 p. (Symposium on Simplicity in Algorithms Proceedings).Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
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From gauging to duality in one-dimensional quantum lattice models
Vancraeynest-De Cuiper, B. (Corresponding author), Garre Rubio, J., Verstraete, F., Vervoort, K., Williamson, D. J. & Lootens, L., 15 Apr 2026, In: SciPost Physics. 20, p. 1-35 113.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Generalized cluster states in 2+1d: non-invertible symmetries, interfaces, and parameterized families
Inamura, K. & Oyama, S., 13 Jan 2026, arXiv, 123 p.Publications: Working paper › Preprint
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Higher structures on boundary conformal manifolds: Higher Berry phase and boundary conformal field theory
Choi, Y. (Corresponding author), Ha, H., Kim, D., Kusuki, Y., Oyama, S. & Ryu, S., 15 May 2026, In: Physical Review D. 113, 10, 36 p., 106005.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Hyperinvariant spin network states — an AdS/CFT model from first principles
Otto, F., Mansuroglu, R., Schuch, N., Gühne, O. & Sahlmann, H., 12 Jun 2026, In: Journal of High Energy Physics. 2026, 6, 35 p., 145.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Parameterized families of 2+1d G-cluster states
Oyama, S. & Inamura, K., 13 Jan 2026, arXiv, 70 p.Publications: Working paper › Preprint
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Preparation circuits for matrix product states by classical variational disentanglement
Mansuroglu, R. (Corresponding author) & Schuch, N., 13 Apr 2026, In: Physical Review A. 113, 4, 15 p., 042430.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Tangent Space Excitation Ansatz for Quantum Circuits
Chen, J.-Y. (Corresponding author), Huang, B., Zhou, D. L., Schuch, N. (Corresponding author), Cao, C. (Corresponding author) & Yang, M. (Corresponding author), 17 Apr 2026, In: Physical Review Letters. 136, 15, 10 p., 150601.Publications: Contribution to journal › Article › Peer Reviewed
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Two-dimensional bialgebras and quantum groups: algebraic structures and tensor network realizations
Garre Rubio, J., Molnár, A. & Sierra, G., 4 Mar 2026, In: Journal of Physics A: Mathematical and Theoretical. 59, 9, 21 p., 095202.Publications: Contribution to journal › Article › Peer Reviewed
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2025
Beating the Natural Grover Bound for Low-Energy Estimation and State Preparation
Buhrman, H., Gharibian, S., Landau, Z., Gall, F. L., Schuch, N. & Tamaki, S., 15 Jul 2025, In: Physical Review Letters. 135, 3, 7 p., 030601.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Detection of two-dimensional symmetry protected topological order with partial symmetries
Turzillo, A., Manjunath, N. & Garre Rubio, J., 8 Jul 2025, In: Physical Review B. 112, 3, p. 35119-1-35119-19 19 p., 035119.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Fractional domain wall statistics in spin chains with anomalous symmetries
Garre-Rubio, J. & Schuch, N., 4 Feb 2025, In: SciPost Physics. 18, 20 p., 043.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Gauging quantum phases: A matrix product state approach
Blanik, D., Garre Rubio, J. & Schuch, N., 3 Sept 2025, In: Physical Review B. 112, 11, 22 p., 115110.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Internal structure of gauge-invariant projected entangled pair states
Blanik, D., Garre-Rubio, J., Molnár, A. & Zohar, E. (Corresponding author), 10 Feb 2025, In: Journal of Physics A: Mathematical and Theoretical. 58, 6, 21 p., 065301.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
MPS Stability and the Intersection Property
Garre Rubio, J., Turzillo, A. & Molnár, A., 2 Dec 2025, In: Annales Henri Poincare. 23 p.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Multi wavefunction overlap and multientropy for topological ground states in (2+1) dimensions
Liu, B., Zhang, J., Oyama, S., Kusuki, Y. & Ryu, S., 25 Sept 2025, In: Physical Review B. 112, 12, 16 p., 125160.Publications: Contribution to journal › Article › Peer Reviewed
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On two-dimensional tensor network group symmetries
Garre Rubio, J. & Molnár, A., 23 Oct 2025, In: New Journal of Physics. 27, 10, 19 p., 104510.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Positive bias makes tensor-network contraction tractable
Jiang, J. (Corresponding author), Chen, J. (Corresponding author), Schuch, N. (Corresponding author) & Hangleiter, D. (Corresponding author), 15 Jun 2025, STOC 2025 - Proceedings of the 57th Annual ACM Symposium on Theory of Computing. Koucky, M. & Bansal, N. (eds.). nicht ermittelbar: Association for Computing Machinery, Inc, p. 471-482 12 p.Publications: Contribution to book › Contribution to proceedings › Peer Reviewed
Open Access -
Sign Problem in Tensor-Network Contraction
Chen, J., Jiang, J., Hangleiter, D. & Schuch, N. (Corresponding author), 17 Jan 2025, In: PRX Quantum. 6, 20 p., 010312.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Simple Hamiltonians for Matrix Product State models
Schuch, N., Molnár, A. & Perez-Garcia, D., 13 Mar 2025, arXiv, p. 1-6.Publications: Working paper › Preprint
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Stable and efficient differentiation of tensor network algorithms
Francuz, A. (Corresponding author), Schuch, N. & Vanhecke, B. (Corresponding author), 4 Mar 2025, In: Physical Review Research. 7, 13 p., 013237.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Systematic construction of stabilizer codes via gauging abelian boundary symmetries
Vancraeynest-De Cuiper, B. & Garre Rubio, J., 8 Sept 2025, In: Quantum. 9, 24 p., 1852.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
The Product Structure of Matrix Product States under Permutations
Florido-Llinàs, M. (Corresponding author), Alhambra, Á. M., Trivedi, R., Schuch, N., Pérez-García, D. & Cirac, J. I., 17 Nov 2025, In: PRX Quantum. 6, 4, 19 p., 040338.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
2024
Classifying symmetric and symmetry-broken spin chain phases with anomalous group actions
Garre Rubio, J., Molnár, A. & Ogata, Y., 27 Mar 2024, arXiv, p. 1-55.Publications: Working paper › Preprint
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Entanglement spectrum as a diagnostic of chirality of topological spin liquids: Analysis of SU(3) projected entangled pair states
Arildsen, M. J., Chen, J.-Y., Schuch, N. & Ludwig, A. W. W., 23 Dec 2024, In: Physical Review B. 110, 23 p., 235147.Publications: Contribution to journal › Article › Peer Reviewed
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Generating Function for Projected Entangled-Pair States
Tu, W.-L. (Corresponding author), Vanderstraeten, L. (Corresponding author), Schuch, N. (Corresponding author), Lee, H.-Y. (Corresponding author), Kawashima, N. (Corresponding author) & Chen, J.-Y. (Corresponding author), Mar 2024, In: PRX Quantum. 5, 1, p. 010335-1 - 010335-15 15 p., 010335.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Lower Bounds on Ground-State Energies of Local Hamiltonians through the Renormalization Group
Kull, I. (Corresponding author), Schuch, N., Dive, B. & Navascués, M., Apr 2024, In: Physical Review X. 14, 2, p. 021008-1 - 021008-31 31 p., 021008.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States
Alarcón, A. R. D. (Corresponding author), Garre-Rubio, J., Molnár, A. & Pérez-García, D., 13 Mar 2024, In: Letters in Mathematical Physics. 114, 2, 31 p., 43.Publications: Contribution to journal › Article › Peer Reviewed
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Planning with tensor networks based on active inference
Wauthier, S. T. (Corresponding author), Verbelen, T., Dhoedt, B. & Vanhecke, B. (Corresponding author), Dec 2024, In: Machine Learning: Science and Technology. 5, 4, 22 p., 045012.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks
Dreyer, H., Vanderstraeten, L., Chen, J.-Y., Verresen, R. & Schuch, N., 21 May 2024, In: Physical Review B. 109, 19, p. 195161-1 - 195161-7 7 p., 195161.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Tangent Space Generators of Matrix Product States and Exact Floquet Quantum Scars
Ljubotina, M., Petrova, E., Schuch, N. & Serbyn, M. (Corresponding author), 23 Oct 2024, In: PRX Quantum. 5, 4, 18 p., 040311.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
2023
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
Open Access -
Detecting Emergent Continuous Symmetries at Quantum Criticality
Yang, M., Vanhecke, B. & Schuch, N., 21 Jul 2023, In: Physical Review Letters. 131, 3, p. 1-7 7 p., 036505.Publications: Contribution to journal › Article › Peer Reviewed
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Entanglement spectra of nonchiral topological (2+1)-dimensional phases with strong time-reversal symmetry breaking, Li-Haldane state counting, and PEPS
Arildsen, M. J. (Corresponding author), 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
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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
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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
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2022
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
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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
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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
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Locality optimization for parent Hamiltonians of tensor networks
Giudici, G., Cirac, J. I. & Schuch, N., Jul 2022, In: Physical Review B. 106, 3, 12 p., 035109.Publications: Contribution to journal › Article › Peer Reviewed
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Mapping between Morita-equivalent string-net states with a constant depth quantum circuit
Lootens, L. (Corresponding author), 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
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Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states
Molnár, A., Ruiz de Alarcón, A., Garre Rubio, J., Schuch, N., Cirac, J. I. & Perez-Garcia, D., 12 Apr 2022, arXiv, p. 1-70.Publications: Working paper › Preprint
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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, p. 023161-1 - 023161-19 19 p., 023161.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
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
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Symmetry Protected Topological Order in Open Quantum Systems
Groot, C. D. (Corresponding author), Turzillo, A. (Corresponding author) & Schuch, N. (Corresponding author), 10 Nov 2022, In: Quantum. 6, p. 1-39 39 p., 856.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
Tensor Networks Can Resolve Fermi Surfaces
Mortier, Q. (Corresponding author), Schuch, N., Verstraete, F. & Haegeman, J., 11 Nov 2022, In: Physical Review Letters. 129, 20, 206401.Publications: Contribution to journal › Article › Peer Reviewed
Open Access -
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
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2021
Characterization of topological phase transitions from a non-Abelian topological state and its Galois conjugate through condensation and confinement order parameters
Xu, W.-T. (Corresponding author) & Schuch, N., 11 Oct 2021, In: Physical Review B. 104, 15, 16 p., 155119.Publications: Contribution to journal › Article › Peer Reviewed