Articles written by the current members of the group in the last years. The papers are displayed from more recent to older in the order that they have been published (or updated in the arXiv for preprints).

See also the group's page on UCM Portal de Producción Científica for publications of UCM-affiliated group members.

2026

[1]. Pablo Páez-Velasco Tensor network manifolds and Riemannian fundamental theorem for tensor networks. (pdf).

[2]. Pablo Páez-Velasco, Niclas Schilling, Samuel O. Scalet, Frank Verstraete, Ángela Capel Efficient and simple Gibbs state preparation of the two-dimensional toric code via duality to classical Ising chains. Phys. Rev. Research 8, 2, 023277 (2026) (pdf).

[3]. Ángela Capel, Marco Castrillón-López, Sofyan Iblisdir, Angelo Lucia, Pablo Páez-Velasco, David Pérez-García Rapid mixing for Gibbs measures in Riemannian manifolds. (pdf).

[4]. Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, Simone Warzel Modified logarithmic Sobolev inequalities for Abelian quantum double models. (pdf).

[5]. Alvaro Martin Alhambra, Ángela Capel, Paul Gondolf, Alberto Ruiz-de-Alarcón, Samuel O. Scalet Conditional Independence of 1D Gibbs States with Applications to Efficient Learning. Ann. Henri Poincaré (2026) (pdf).

[6]. María García Díaz, Adam Brandenburger, Giannicola Scarpa The Quantum Agreement Theorem. (pdf).

[7]. Joan Claramunt Combinatorial approximations of dynamical systems: a separated graph approach. (pdf).

[8]. Yuhan Liu, Alberto Ruiz-de-Alarcón, Georgios Styliaris, Xiao-Qi Sun, David Pérez-García, J. Ignacio Cirac Parent Lindbladians for matrix product density operators. Phys. Rev. Research 8, 1, 013210 (2026) (pdf).

[9]. José Ramón Pareja Monturiol, Juliette Sinnott, Roger G. Melko, Mohammad Kohandel Private and interpretable clinical prediction with quantum-inspired tensor train models. (pdf).

[10]. Laura Castilla-Castellano, Angelo Lucia Undecidability of the spectral gap in rotationally symmetric Hamiltonians. Phys. Rev. Research 8, 1, 013033 (2026) (pdf).

2025

[11]. Fernando Lledó, Carlos Palazuelos, Julio I. de Vicente Asymptotic robustness of entanglement in noisy quantum networks and graph connectivity. Quantum 9, 1958 (2025) (pdf).

[12]. José Ramón Pareja Monturiol, Alejandro Pozas-Kerstjens, David Pérez-García Tensorization of neural networks for improved privacy and interpretability. SciPost Phys. Core 8, 4, 095 (2025) (pdf).

[13]. Yoshiko Ogata, David Pérez-García, Alberto Ruiz-de-Alarcón Haag Duality for 2D Quantum Spin Systems. (pdf).

[14]. Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, Simone Warzel Modified logarithmic Sobolev inequalities for CSS codes. (pdf).

[15]. Jorge G. Russo, Miguel Tierz Analytical exploration of the optomechanical attractor diagram and of limit cycles. Phys. Rev. A 112, 4, 043522 (2025) (pdf).

[16]. Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández Strong Decay of Correlations for Gibbs States in Any Dimension. J Stat Phys 192, 10, 134 (2025) (pdf).

[17]. Aitor Balmaseda, Julio I. de Vicente Distillation of multipartite entangled states for arbitrary subsets of parties in noisy quantum networks of increasing size. Phys. Rev. A 112, 3, 032436 (2025) (pdf).

[18]. Norbert Schuch, Andras Molnar, David Perez-Garcia Simple Hamiltonians for Matrix Product State models. (pdf).

[19]. M. A. Gali Labarias, T. Yamada, Y. Nakashima, Y. Urade, J. Claramunt, K. Inomata Performance enhancement in Josephson traveling wave parametric amplifiers by tailoring the relative distance between junctions. (pdf).

[20]. Eva A. Gallardo-Gutiérrez, Fernando Lledó, Laura Sáenz Finite dimensional approximations for Hilbert space operators and applications in Quantum Mechanics. (pdf).

[21]. Álvaro Perales-Eceiza, Toby Cubitt, Mile Gu, David Pérez-García, Michael M. Wolf Undecidability in physics: A review. Physics Reports 1138 (2025) (pdf).

[22]. Antonio Pérez-Hernández Lipschitz vs Linear Numerical Index in certain Banach spaces. (pdf).

[23]. Javier Castellano, Ignacio Villanueva Graph Neural Networks in Wind Power Forecasting. (pdf).

[24]. Chris N. Self, Sofyan Iblisdir, Gavin K. Brennen, Konstantinos Meichanetzidis Estimating the Jones polynomial for Ising anyons on noisy quantum computers. (pdf).

[25]. Marius Lemm, Angelo Lucia On the critical finite-size gap scaling for frustration-free Hamiltonians. Rev. Math. Phys. 37, 07, 2550015 (2025) (pdf).

[26]. Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández Spectral Gap Bounds for Quantum Markov Semigroups via Correlation Decay. (pdf).

[27]. Zhen-Peng Xu, Julio I. de Vicente, Liang-Liang Sun, Sixia Yu Quantum network-entanglement measures. Quantum 9, 1736 (2025) (pdf).

[28]. A. Balmaseda, D. Krejčiřík, J. M. Pérez-Pardo The relativistic rotated harmonic oscillator. Proc. R. Soc. A. 481, 2314, 20240920 (2025) (pdf).

[29]. Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo Global Approximate Controllability of Quantum Systems by Form Perturbations and Applications. SIAM J. Control Optim. 63, 2 (2025) (pdf).

[30]. Georgios Styliaris, Rahul Trivedi, David Perez-Garcia, J. Ignacio Cirac Matrix-product unitaries: Beyond quantum cellular automata. Quantum 9, 1645 (2025) (pdf).

[31]. Miguel Tierz Analytical control of the exchange interaction in periodically driven Mott insulators. (pdf).

2024

[32]. Marta Florido-Llinàs, Álvaro M. Alhambra, Rahul Trivedi, Norbert Schuch, David Pérez-García, J. Ignacio Cirac The product structure of MPS-under-permutations. (pdf).

[33]. Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control. Journal of Functional Analysis 287, 8, 110563 (2024) (pdf).

[34]. Harriet Apel, Toby Cubitt, Patrick Hayden, Tamara Kohler, David Pérez-García Security of quantum position-verification limits Hamiltonian simulation via holography. J. High Energ. Phys. 2024, 8, 152 (2024) (pdf).

[35]. Julio I. de Vicente Maximally Entangled Mixed States for a Fixed Spectrum Do Not Always Exist. Phys. Rev. Lett. 133, 5, 050202 (2024) (pdf).

[36]. Roy Araiza, Marius Junge, Carlos Palazuelos On a question of Blecher, Pisier, Shlyakhtenko. (pdf).

[37]. Alejandro Pozas-Kerstjens, Senaida Hernández-Santana, José Ramón Pareja Monturiol, Marco Castrillón López, Giannicola Scarpa, Carlos E. González-Guillén, David Pérez-García Privacy-preserving machine learning with tensor networks. Quantum 8, 1425 (2024) (pdf).

[38]. Marta Florido-Llinàs, Álvaro M. Alhambra, David Pérez-García, J. Ignacio Cirac Regular language quantum states. (pdf).

[39]. David Pérez-García, Leonardo Santilli, Miguel Tierz Hawking-Page transition on a spin chain. Phys. Rev. Research 6, 3, 033007 (2024) (pdf).

[40]. José Ramón Pareja Monturiol, David Pérez-García, Alejandro Pozas-Kerstjens TensorKrowch: Smooth integration of tensor networks in machine learning. Quantum 8, 1364 (2024) (pdf).

[41]. Ayaka Usui, Anna Sanpera, María García Díaz Simplifying the simulation of local Hamiltonian dynamics. Phys. Rev. Research 6, 2, 023243 (2024) (pdf).

[42]. Srinivasan Arunachalam, Arkopal Dutt, Francisco Escudero Gutiérrez, Carlos Palazuelos Learning low-degree quantum objects. (pdf).

[43]. Carlos Sebastián, Carlos E. González-Guillén A feature selection method based on Shapley values robust for concept shift in regression. Neural Comput & Applic 36, 23 (2024) (pdf).

[44]. Carlos Sebastián, Carlos E. González-Guillén, Jesús Juan An adaptive standardisation methodology for Day-Ahead electricity price forecasting. (pdf).

[45]. Fernando Lledó, Ignacio Sevillano Geometric and spectral analysis on weighted digraphs. Linear Algebra and its Applications 687 (2024) (pdf).

[46]. Alberto Ruiz-de-Alarcón, José Garre-Rubio, András Molnár, David Pérez-García Matrix product operator algebras II: phases of matter for 1D mixed states. Lett Math Phys 114, 2, 43 (2024) (pdf).

[47]. Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo On Global Approximate Controllability of a Quantum Particle in a Box by Moving Walls. SIAM J. Control Optim. 62, 2 (2024) (pdf).

[48]. Jorge G. Russo, Miguel Tierz Landau-Zener transition rates of superconducting qubits and the absorption spectrum in quantum dots. Phys. Rev. A 109, 3, 033702 (2024) (pdf).

[49]. David Pérez-García, Leonardo Santilli, Miguel Tierz Dynamical quantum phase transitions from random matrix theory. Quantum 8, 1271 (2024) (pdf).

[50]. Nicky Kai Hong Li, Cornelia Spee, Martin Hebenstreit, Julio I. de Vicente, Barbara Kraus Identifying families of multipartite states with non-trivial local entanglement transformations. Quantum 8, 1270 (2024) (pdf).

[51]. Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé Entropy Decay for Davies Semigroups of a One Dimensional Quantum Lattice. Commun. Math. Phys. 405, 2, 42 (2024) (pdf).

[52]. Adam Brandenburger, Patricia Contreras-Tejada, Pierfrancesco La Mura, Giannicola Scarpa, Kai Steverson Agreement and disagreement in a non-classical world. Phil. Trans. R. Soc. A. 382, 2268 (2024) (pdf).

[53]. Aleksander M. Kubicki, Alex May, David Pérez-Garcia Constraints on physical computers in holographic spacetimes. SciPost Phys. 16, 1, 024 (2024) (pdf).

[54]. Pere Ara, Joan Claramunt A correspondence between surjective local homeomorphisms and a family of separated graphs. DCDS 44, 5 (2024) (pdf).

2023

[55]. Angelo Lucia, Alvin Moon, Amanda Young Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model. Ann. Henri Poincaré (2023) (pdf).

[56]. Emilio Onorati, Tamara Kohler, Toby S. Cubitt Fitting quantum noise models to tomography data. Quantum 7, 1197 (2023) (pdf).

[57]. Arturo Acuaviva, Visu Makam, Harold Nieuwboer, David Pérez-García, Friedrich Sittner, Michael Walter, Freek Witteveen The minimal canonical form of a tensor network. 2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS) (2023) (pdf).

[58]. David Gunn, Martin Hebenstreit, Cornelia Spee, Julio I. de Vicente, Barbara Kraus Approximate and ensemble local entanglement transformations for multipartite states. Phys. Rev. A 108, 5, 052401 (2023) (pdf).

[59]. Andreas Bluhm, Ángela Capel, Paul Gondolf, Antonio Pérez-Hernández Continuity of quantum entropic quantities via almost convexity. IEEE Transactions on Information Theory, 69 (9), 5869-5901, 2023 (pdf).

[60]. Moisés Bermejo Morán, Alejandro Pozas-Kerstjens, Felix Huber Bell inequalities with overlapping measurements. Phys. Rev. Lett. 131, 080201 (2023) (pdf).

[61]. Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions. J. Phys. A: Math. Theor. 56, 32 (2023) (pdf).

[62]. Miguel Frías Pérez, Michael Mariën, David Pérez García, Mari Carmen Bañuls, Sofyan Iblisdir Collective Monte Carlo updates through tensor network renormalization. SciPost Phys. 14, 5, 123 (2023) (pdf).

[63]. Xue-Mei Gu, Liang Huang, Alejandro Pozas-Kerstjens, Yang-Fan Jiang, Dian Wu, Bing Bai, Qi-Chao Sun, Ming-Cheng Chen, Jun Zhang, Sixia Yu, Qiang Zhang, Chao-Yang Lu, Jian-Wei Pan Experimental full network nonlocality with independent sources and strict locality constraints. Phys. Rev. Lett. 130, 190201 (2023) (pdf).

[64]. Emanuel-Cristian Boghiu, Elie Wolfe, Alejandro Pozas-Kerstjens Inflation: a Python library for classical and quantum causal compatibility. Quantum 7, 996 (2023) (pdf).

[65]. Ning-Ning Wang, Alejandro Pozas-Kerstjens, Chao Zhang, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Nicolas Gisin, Armin Tavakoli Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics. Nature Communications 14, 2153 (2023) (pdf).

[66]. Elena Peña Tapia, Giannicola Scarpa, Alejandro Pozas-Kerstjens A didactic approach to quantum machine learning with a single qubit. Phys. Scr. 98, 5 (2023) (pdf).

[67]. Angelo Lucia, Amanda Young A nonvanishing spectral gap for AKLT models on generalized decorated graphs. Journal of Mathematical Physics 64, 4, 041902 (2023) (pdf).

[68]. Emilio Onorati, Tamara Kohler, Toby S. Cubitt Fitting time-dependent Markovian dynamics to noisy quantum channels. (pdf).

[69]. Alejandro Pozas-Kerstjens, Nicolas Gisin, Marc-Olivier Renou Proofs of network quantum nonlocality in continuous families of distributions. Phys. Rev. Lett. 130, 090201 (2023) (pdf).

[70]. Marius Junge, Carlos Palazuelos On the power of quantum entanglement in multipartite quantum XOR games. (pdf).

[71]. Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé Rapid Thermalization of Spin Chain Commuting Hamiltonians. Phys. Rev. Lett. 130, 6, 060401 (2023) (pdf).

[72]. Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández Thermalization in Kitaev’s quantum double models via tensor network techniques. Forum of Mathematics, Sigma 11, e107 (2023) (pdf).

2022

[73]. Aitor Balmaseda Quantum Control at the Boundary. (pdf).

[74]. Willian H. G. Correa, Ludovico Lami, Carlos Palazuelos Maximal Gap Between Local and Global Distinguishability of Bipartite Quantum States. IEEE Trans. Inform. Theory 68, 11 (2022) (pdf).

[75]. Sonia Lopez Alarcon, Cory Merkel, Martin Hoffnagle, Sabrina Ly, Alejandro Pozas-Kerstjens Accelerating the training of single-layer binary neural networks using the HHL quantum algorithm. Proceedings of the IEEE 40th International Conference on Computer Design (ICCD), 427-433 (2022) (pdf).

[76]. Marcos Crichigno, Tamara Kohler Clique Homology is QMA1-hard. (pdf).

[77]. Carlo Marconi, Pau Colomer Saus, María García Díaz, Anna Sanpera The role of coherence theory in attractor quantum neural networks. Quantum 6, 794 (2022) (pdf).

[78]. Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio, Norbert Schuch, J. Ignacio Cirac, David Pérez-García Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states. (pdf).

[79]. María García Díaz, Gael Sentís, Ramon Muńoz-Tapia, Anna Sanpera Volumes of parent Hamiltonians for benchmarking quantum simulators. (pdf).

[80]. Carlos Palazuelos, Julio I. de Vicente Genuine multipartite entanglement of quantum states in the multiple-copy scenario. Quantum 6, 735 (2022) (pdf).

[81]. Marius Junge, Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García Geometry of Banach Spaces: A New Route Towards Position Based Cryptography. Commun. Math. Phys. 394, 2 (2022) (pdf).

[82]. Patricia Contreras-Tejada, Carlos Palazuelos, Julio I. de Vicente Asymptotic Survival of Genuine Multipartite Entanglement in Noisy Quantum Networks Depends on the Topology. Phys. Rev. Lett. 128, 22, 220501 (2022) (pdf).

[83]. Guillaume Aubrun, Ludovico Lami, Carlos Palazuelos, Martin Plávala Entanglement and Superposition Are Equivalent Concepts in Any Physical Theory. Phys. Rev. Lett. 128, 16, 160402 (2022) (pdf).

[84]. Martin Hebenstreit, Cornelia Spee, Nicky Kai Hong Li, Barbara Kraus, Julio I. de Vicente State transformations within entanglement classes containing permutation-symmetric states. Phys. Rev. A 105, 3, 032458 (2022) (pdf).

[85]. Paolo Abiuso, Tamás Kriváchy, Emanuel-Cristian Boghiu, Marc-Olivier Renou, Alejandro Pozas-Kerstjens, Antonio Acín Single-photon nonlocality in quantum networks. Phys. Rev. Research 4, L012041 (2022) (pdf).

[86]. Armin Tavakoli, Alejandro Pozas-Kerstjens, Ming-Xing Luo, Marc-Olivier Renou Bell nonlocality in networks. Rep. Prog. Phys. 85, 056001 (2022) (pdf).

[87]. Tom Farshi, Daniele Toniolo, Carlos E. González-Guillén, Álvaro M. Alhambra, Lluis Masanes Mixing and localization in random time-periodic quantum circuits of Clifford unitaries. Journal of Mathematical Physics 63, 3, 032201 (2022) (pdf).

[88]. Harriet Apel, Tamara Kohler, Toby Cubitt Holographic duality between local Hamiltonians from random tensor networks. J. High Energ. Phys. 2022, 52 (pdf).

[89]. Leonardo Santilli, Miguel Tierz Multiple phases and meromorphic deformations of unitary matrix models. Nuclear Physics B 976, 115694 (2022) (pdf).

[90]. Leonardo Santilli, Miguel Tierz Crystal bases and three-dimensional