Patricia Contreras-Tejada, Giannicola Scarpa, Aleksander M. Kubicki, Adam Brandenburger, Pierfrancesco La Mura, Observers of quantum systems cannot agree to disagreeNature Communications 12, Article number: 7021 (2021).

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).

Aidan Kehoe, Peter Wittek, Yanbo Xue, Alejandro Pozas-Kerstjens. Defence against adversarial attacks using classical and quantum-enhanced Boltzmann machines (pdf).  Machine Learning: Science and Technology 2, 045006 (2021).

Alejandro Pozas-Kerstjens, Gorka Muñoz-Gil, Miguel Ángel García-March, Antonio Acín, Maciej Lewenstein, Przemysław R. Grzybowski. Efficient training of energy-based models via spin-glass control (pdf). Machine Learning: Science and Technology 2, 025026 (2021).

Alejandro Pozas-Kerstjens, Nicolas Gisin, Armin Tavakoli. Full network nonlocality (pdf). Physical Review Letters, 128, 010403 (2022).

Elie Wolfe, Alejandro Pozas-Kerstjens, Matan Grinberg, Denis Rosset, Antonio Acín, Miguel Navascues. Quantum Inflation: A General Approach to Quantum Causal Compatibility (pdf). Phys. Rev. X 11, 021043 (2021).

Armin Takavoli, Alejandro Pozas-Kerstjens, Ming-Xing Luo, Marc-Olivier Renou. Bell nonlocality in networks (pdf). Reports on Progress in Physics (accepted).

Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete. Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems (pdf). Reviews of Modern Physics 93, 045003 (2021).

G. Scarpa, A. Molnar, Y. Ge, J. J. Garcia-Ripoll, N. Schuch, D. Perez-Garcia, S. Iblisdir. Projected Entangled Pair States: Fundamental analytical and numerical limitations (pdf). Phys. Rev. Lett. 125, 210504 (2020).

José Garre-Rubio, Mohsin Iqbal, David T. Stephen. String order parameters for symmetry fractionalization in an enriched toric code (pdf). Phys. Rev. B 103, 125104 (2021).

Senaida Hernández Santana, Andras Molnar, Christian Gogolin, J. Ignacio Cirac, Antonio Acín. Locality of temperature and correlations in the presence of non-zero-temperature phase transitions (pdf). New J. Phys. 23 073052 (2021).

David T. Stephen, José Garre-Rubio, Arpit Dua, Dominic J. Williamson. Subsystem symmetry enriched topological order in three dimensions (pdf). Phys. Rev. Research 2, 033331 (2020).

Ivan Bardet, Angela Capel, Cambyse Rouzé. Approximate tensorization of the relative entropy for noncommuting conditional expectations (pdf). Annales Henri Poincaré 23, 101–140 (2022)

Jiri Guth Jarkovsky, Andras Molnar, Norbert Schuch, J. Ignacio Cirac. Efficient description of many-body systems with Matrix Product Density Operators (pdf). PRX Quantum 1, 010304 (2020).

Caroline de Groot, David T. Stephen, Andras Molnar, Norbert Schuch. Inaccessible entanglement in symmetry protected topological phases (pdf). J. Phys. A: Math. Theor. 53, 335302 (2020).

Miguel Navascues, Elie Wolfe, Denis Rosset, Alejandro Pozas-Kerstjens. Genuine Network Multipartite Entanglement (pdf). Phys. Rev. Lett. 125, 240505 (2020).

Kohtaro Kato, Pieter Naaijkens. An entropic invariant for 2D gapped quantum phases (pdf). J. Phys. A-Math. Theor., 53, 085302 (2020).

José Garre-Rubio, Sofyan Iblisdir. Local order parameters for symmetry fractionalization (pdf). New Journal of Physics 21, 113016 (2019).

Yilun Yang, Sofyan Iblisdir, J. Ignacio Cirac, Mari Carmen Bañuls. Probing thermalization through spectral analysis with matrix product operators (pdf). Phys. Rev. Lett. 124, 100602 (2020).

Ivan Bardet, Angela Capel, Angelo Lucia, David Pérez-García, Cambyse Rouzé. On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems (pdf). Journal of Mathematical Physics 62, 061901 (2021).

Cécilia Lancien, David Pérez-García. Correlation length in random MPS and PEPS (pdf). Annales Henri Poincaré 23, 141–222 (2022).

Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele. On the stability of charges in infinite quantum spin systems (pdf). Commun. Math. Phys. 373, 219-264 (2020).

Aleksander M. Kubicki, Carlos Palazuelos, David Pérez-García. Resource Quantification for the No-Programming Theorem (pdf). Phys. Rev. Lett. 122, 080505 (2019).

J. Ignacio Cirac, José Garre-Rubio, David Pérez-García. Mathematical open problems in Projected Entangled Pair States (pdf). Revista Matemática Complutense 32,  579-599  (2019).

Andrea Coser, David Perez-Garcia. Classification of phases for mixed states via fast dissipative evolution (pdf). Quantum 3, 174 (2019).

Johannes Bausch, Toby Cubitt, Angelo Lucia, David Perez-Garcia. Undecidability of the Spectral Gap in One Dimension (pdf). Phys. Rev. X 10, 031038 (2020).

Chris N. Self, Johannes Knolle, Sofyan Iblisdir, Jiannis K. Pachos. Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection (pdf). Phys. Rev. B 99, 045142 (2019).

Christoph Sünderhauf, David Pérez-García, David A. Huse, Norbert Schuch, J. Ignacio Cirac. Localization with random time-periodic quantum circuits (pdf). Phys. Rev. B 98, 134204 (2018).

Angela Capel, Angelo Lucia, David Pérez-García. Quantum conditional relative entropy and quasi-factorization of the relative entropy (pdf). J. Phys. A: Math. Theor. 51 484001 (2018).

Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, J. Ignacio Cirac. Normal projected entangled pair states generating the same state (pdf). New J. Phys. 20, 113017 (2018).

Marcus Huber, Ludovico Lami, Cécilia Lancien, Alexander Müller-Hermes. High-Dimensional Entanglement in States with Positive Partial Transposition (pdf). Phys. Rev. Lett. 121, 200503 (2018).

D. Elkouss, D. Pérez-García, Memory effects can make the transmission capability of a communication channel uncomputable (pdf). Nature Communications 9, 1149 (2018).

Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, Michael M. Wolf. Size-Driven Quantum Phase Transitions (pdf), PNAS 115, 19-23 (2018).

Matthias Christandl, Roberto Ferrara, Cécilia Lancien. Random private quantum states (pdf). IEEE Trans. Inf. Theory 66, 4621-4640 (2020) .

Angela Capel, Angelo Lucia, David Pérez-García. Superadditivity of quantum relative entropy for general states (pdf), IEEE Trans. Inf. Theory 64, 4758-4765 (2018).

Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia. Locality at the boundary implies gap in the bulk for 2D PEPS (pdf). Commun. Math. Phys. 366, 895-926 (2019).

Andrea Coser, Cristiano De Nobili, Erik Tonni. A contour for the entanglement entropies in harmonic lattices (pdf). J. Phys. A: Math. Theor. 50, 314001 (2017).

José Garre-Rubio, Sofyan Iblisdir, David Pérez-García. Symmetry reduction induced by anyon condensation: a tensor network approach (pdf). Phys. Rev. B 96, 155123 (2017).

Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia, J. Ignacio Cirac. Continuum limits of Matrix Product States (pdf). Phys. Rev. B 98, 174303 (2018).

Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch, David Perez-Garcia. Irreducible forms of Matrix Product States: Theory and Applications (pdf),J. Math. Phys. 58, 121901 (2017).

J. Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete. Matrix Product Unitaries: Structure, Symmetries, and Topological Invariants (pdf). J. Stat. Mech. 083105 (2017) .

Cristiano De Nobili, Andrea Coser, Erik Tonni. Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions (pdf). J. Stat. Mech. 083102 (2016) .

Chris N. Self, Jiannis K. Pachos, James R. Wootton, Sofyan Iblisdir. Conformal energy currents on the edge of a topological superconductor (pdf). Phys. Rev. B 95, 115141 (2017).

J. I. Cirac, D. Perez-Garcia, N. Schuch, F. Verstraete. Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories (pdf). Annals of Physics 378, 100 (2017).

Carlos Fernandez-Gonzalez, Roger S. K. Mong, Olivier Landon-Cardinal, David Perez-Garcia, Norbert Schuch. Constructing topological models by symmetrization: A PEPS study (pdf). Phys. Rev. B 94, 155106 (2016).

G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, D. Pérez-García. Fundamental limitations in the purifications of tensor networks (pdf). J. Math. Phys. 57, 071902 (2016).

Toby Cubitt, David Perez-Garcia, Michael M. Wolf. Undecidability of the Spectral Gap (short version) (pdf). Nature 528, 207-211 (2015).

Toby Cubitt, David Perez-Garcia, Michael M. Wolf. Undecidability of the Spectral Gap (full version) (pdf). Forum of Mathematics Pi (accepted).

Fernando G. S. L. Brandao, Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, David Perez-Garcia. Area law for fixed points of rapidly mixing dissipative quantum systems (pdf). J. Math. Phys. 56, 102202 (2015).