Publications

Border Ranks of Positive and Invariant Tensor Decompositions: Applications to Correlations

Andreas Klingler, Tim Netzer and Gemma De les Coves. arxiv.org/abs/2304.13478

Magic squares: Latin, Semiclassical and Quantum

Gemma De las Cuevas, Tim Netzer and Inga Valentiner-Branth. J. Math. Phys. 64, 022201 (2023). arxiv.org/abs/2209.10230

Many bounded versions of undecidable problems are NP-hard

Andreas Klingler, Mirte van der Eyden, Sebastian Stengele, Tobias Reinhart and Gemma De las Cuevas. arxiv.org/abs/2211.13532

The grammar of the Ising model: A new complexity hierarchy

Tobias Reinhart and Gemma De las Cuevas. arxiv.org/abs/2208.08301

Why can the brain (and not a computer) make sense of the liar paradox?

Patrick T. Fraser, Ricard Sole, Gemma De las Cuevas. Frontiers in Ecology and Evolution 9, 802300 (2021).

Halos and undecidability of tensor stable positive maps

Mirte van der Eyden, Tim Netzer, Gemma De las Cuevas. J. Phys. A 55, 264006 (2022). arXiv:2110.02113

Polynomial decompositions with invariance and positivity inspired by tensors

Gemma De las Cuevas, Andreas Klingler, Tim Netzer. arXiv:2109.06680

Quantum Information Theory and Free Semialgebraic Geometry: One Wonderland Through Two Looking Glasses

Gemma De las Cuevas and Tim Netzer. IMN Nr. 246 (2021). arXiv:2102.04240

Classical spin Hamiltonians are context-sensitive languages

Sebastian Stengele, David Drexel and Gemma De las Cuevas. arXiv:2006.03529

Cats climb entail mammals move: preserving hyponymy in compositional distributional semantics

Gemma De las Cuevas, Andreas Klingler, Martha Lewis and Tim Netzer. arXiv:2005.14134

Approximate tensor decompositions: disappearance of many separations

Gemma De las Cuevas, Andreas Klingler and Tim Netzer. arXiv:2004.10219

Quantum magic squares: dilations and their limitations

Gemma De las Cuevas, Tom Drescher and Tim Netzer. J. Math. Phys. 61, 111704 (2020) (Featured by the Editor). arXiv:1912.07332 See AIP Scilight, UIBK news, El Periodico.

Tensor decompositions on simplicial complexes with invariance

Gemma De las Cuevas, Matt Hoogsteder Riera and Tim Netzer. arXiv:1909.01737

Generalised ansatz for continuous Matrix Product States

Maria Balanzó-Juandó and Gemma De las Cuevas. Phys. Rev. A. 101, 052312 (2020) (Editor's suggestion). arXiv:1908.09761

Mixed states in one spatial dimension: decompositions and correspondence with nonnegative matrices

Gemma De las Cuevas and Tim Netzer. J. Math. Phys. 61, 041901 (2020). arXiv:1903.05373

RADI (Reduced Alphabet Direct Information): Improving execution time for direct-coupling analysis

Bernat Anton, Mireia Besalu, Oriol Fornes, Jaume Bonet, Gemma De las Cuevas, Narcis Fernandez-Fuentes, Baldo Oliva. BioRxiv:10.1101/406603

Optimal bounds on the positivity of a matrix from a few moments

Gemma De las Cuevas, Tobias Fritz and Tim Netzer. Comm. Math. Phys. 375, 105 (2020). arXiv:1808.09462

Continuum limits of Matrix Product States

G. De las Cuevas, N. Schuch, D. Perez-Garcia, J. I. Cirac. Phys. Rev. B 98, 174303 (2018). arXiv:1708.00880

Irreducible forms of Matrix Product States: Theory and Applications

G. De las Cuevas, J. I. Cirac, N. Schuch, D. Perez-Garcia. J. Math. Phys., 58, 121901 (2017). arXiv:1708.00029

Energy as a detector of nonlocality of many-body spin systems

J. Tura, G. De las Cuevas, R. Augusiak, M. Lewenstein, A. Acín, J. I. Cirac. Phys. Rev. X 7, 0201005 (2017). arXiv:1607.06090 See UIBK news

Simple universal models capture all classical spin physics

G. De las Cuevas, T. S. Cubitt. Science 351, 1180 (2016). arXiv:1406.5955 See Piece by Adrian Cho, Perspective by Stephanie Wehner, This Week in Science by Jelena Stajic, Interview at Welt der Physik, Press release at MPQ, Phys.org

Fundamental limitations in the purifications of tensor networks

G. De las Cuevas, T. S. Cubitt, J. I. Cirac, M. M. Wolf, D. Pérez-García. J. Math. Phys. 57, 071902 (2016). arXiv:1512.05709

A quantum information approach to statistical mechanics

Gemma De las Cuevas. J. Phys. B 46, 243001 (2013). arXiv:1312.6007

Purifications of multipartite states: limitations and constructive methods

G. De las Cuevas, N. Schuch, D. Perez-Garcia, J. I. Cirac. New J. Phys. 15, 123021 (2013). arXiv:1308.1914

Reducing spacetime to binary information

S. Weinfurtner, G. De las Cuevas, M. A. Martin–Delgado, H. J. Briegel. J. Phys. A 47 095301 (2014). arXiv:1210.5182

Projective simulation for artificial intelligence

H. J. Briegel and G. De las Cuevas. Sci. Rep. 2, 400 (2012). arXiv:1104.3787 See IQOQI, Uni Innsbruck, ÖAW, Pro-physik, APA-Science, Solid, Der Standard, ORF, DiePresse

Quantum algorithms for classical lattice models

G. De las Cuevas, W. Dür, M. Van den Nest, M. A. Martin–Delgado. New J. Phys. 13, 093021 (2011). arXiv:1104.2517

The U(1) Lattice Gauge Theory Universally Connects All Classical Models with Continuous Variables, Including Background Gravity

Y. Xu, G. De las Cuevas, W. Dür, H. J. Briegel, M. A. Martin–Delgado. J. Stat. Mech. P02013 (2011). arXiv:1010.2041

Mapping all classical spin models to a lattice gauge theory

G. De las Cuevas, W. Dür, H. J. Briegel, M. A. Martin–Delgado. New J. Phys. 12, 043014 (2010). arXiv:0911.2096

Unifying All Classical Spin Models in a Lattice Gauge Theory

G. De las Cuevas, W. Dür, H. J. Briegel, M. A. Martin–Delgado. Phys. Rev. Lett. 102, 230502 (2009). arXiv:0812.3583

Completeness of classical spin models and universal quantum computation

G. De las Cuevas, W. Dür, M. Van den Nest, H. J. Briegel. J. Stat. Mech. P07001 (2009). arXiv:0812.2368

Low-Gradient Magnetophoresis through Field-Induced Reversible Aggregation

G. De las Cuevas, J. Faraudo, J. Camacho. J. Phys. Chem. C 112 945-950 (2008)). pubs.acs.org/doi/abs/10.1021/jp0755286