PUBLICATIONS
Research papers
20. P. Gondolf, S. O. Scalet, A. Ruiz-de-Alarcón, Á. M. Alhambra and Á. Capel,
Conditional independence of 1D Gibbs states with applications to efficient learning,
preprint, 2024,
arXiv: 2402.18500
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19. A. Bluhm, Á. Capel and A. Pérez-Hernández,
Strong decay of correlations for Gibbs states in any dimension,
preprint, 2024,
arXiv: 2401.10147
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18. Á. Capel, M. Moscolari, S. Teufel and T. Wessel,
From decay of correlations to locality and stability of the Gibbs state,
preprint, 2023,
arXiv: 2310.09182
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17. A. Bluhm, Á. Capel, P. Gondolf and T. Möbus,
Unified framework for continuity of sandwiched Rényi divergences,
preprint, 2023,
arXiv: 2308.12425
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16. A. Bluhm, Á. Capel, P. Gondolf and A. Pérez-Hernández,
General continuity bounds for quantum relative entropies,
2023 IEEE International Symposium on Information Theory (ISIT), 162-167, 2023,
DOI: 10.1109/ISIT54713.2023.10206734,
arXiv: 2305.10140
Jack Keil Wolf ISIT Student Paper Award
15. Y. Jia and Á. Capel,
A generic quantum Wielandt's inequality,
preprint, 2023,
arXiv: 2301.08241
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14. A. Bluhm, Á. Capel, P. Gondolf and A. Pérez-Hernández,
Continuity of quantum entropic quantities via almost convexity,
IEEE Transactions on Information Theory, 69 (9), 5869-5901, 2023,
arXiv: 2208.00922
13. I. Bardet, Á. Capel, L. Gao, A. Lucia, D. Pérez-García and C. Rouzé,
Entropy decay for Davies semigroups of a one dimensional quantum lattice,
Communications in Mathematical Physics, 405, 42, 2024,
DOI: 10.1007/s00220-023-04869-5
arXiv: 2112.00601
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12. I. Bardet, Á. Capel, L. Gao, A. Lucia, D. Pérez-García and C. Rouzé,
Rapid thermalization of spin chain commuting Hamiltonians,
Physical Review Letters, 130, 060401, 2023,
DOI: 10.1103/PhysRevLett.130.060401
arXiv: 2112.00593
11. A. Bluhm, Á. Capel and A. Pérez-Hernández,
Exponential decay of mutual information for Gibbs states of local Hamiltonians,
Quantum, 6, 650, 2022,
DOI: 10.22331/q-2022-02-10-650
arXiv: 2104.04419
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10. A. Bluhm, Á. Capel and A. Pérez-Hernández,
Weak quasi-factorization for the Belavkin-Staszewski relative entropy,
2021 IEEE International Symposium on Information Theory (ISIT), 118-123, 2021,
DOI: 10.1109/ISIT45174.2021.9517893
arXiv: 2101.10312
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9. Á. Capel and Y. Jia,
Comment on “Generators of matrix algebras in dimension 2 and 3",
preprint, 2021,
arXiv: 2101.07159
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8. Á. Capel, C. Rouzé and D. Stilck França,
The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions,
Communications in Mathematical Physics (to appear), 2022,
arXiv: 2009.11817
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7. Á. Capel and J. Ocáriz,
Approximation with Neural Networks in Variable Lebesgue Spaces,
preprint, 2020,
arXiv: 2007.04166
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6. I. Bardet, Á. Capel and C. Rouzé,
Approximate tensorization of the relative entropy for noncommuting conditional
expectations,
Annales Henri Poincaré, 23, 101-140, 2022,
DOI: 10.1007/s00023-021-01088-3
arXiv: 2001.07981
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5. I. Bardet, Á. Capel, A. Lucia, D. Pérez-García and C. Rouzé,
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems,
Journal of Mathematical Physics, 62, 061901, 2021,
DOI: 10.1063/1.5142186
arXiv: 1908.09004
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4. A. Bluhm and Á. Capel,
A strengthened data processing inequality for the Belavkin-Staszewski relative entropy, Reviews in Mathematical Physics, 32 (02), 2050005, 2020,
DOI: 10.1142/S0129055X20500051
arXiv: 1904.10768
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3. Á. Capel, A. Lucia and D. Pérez-García,
Quantum Conditional Relative Entropy and Quasi-Factorization of the Relative Entropy, Journal of Physics A: Mathematical and Theoretical, 51, 484001, 2018,
arXiv: 1804.09525
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2. Á. Capel, A. Lucia and D. Pérez-García,
Superadditivity of Quantum Relative Entropy for General States,
IEEE Transactions on Information Theory, 64 (7), 4758-4765, 2018,
arXiv: 1705.03521
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1. Á. Capel, M. Martín and J. Merí,
Numerical radius attaining compact linear operators,
Journal of Mathematical Analysis and Applications, 445, 1258-1266, 2017,
DOI: 10.1016/j.jmaa.2016.02.074
arXiv: 1602.07084
outreach papers
4. Á. Capel, J. Ocáriz, R. Naveiro and P. Contreras, ¿Cómo se ha convertido Matemáticas en la carrera universitaria más popular?, Café y Teoremas, El País, 2018,
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3. Á. Capel, Y yo quiero ser... Matemática Física, chapter of the book "Y yo quiero ser..." (2018),
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2. Á. Arias, J. P. Ávila, Á. Capel and P. Morales, Mates en Acción, Matematicalia, vol. 7, num. 3 (Sept. 2011),
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1. F. T. Sánchez-Cobo and Á. Capel, ESTALMAT: Una experiencia con cerillas, Revista EPSILON de la SAEM Thales, vol. 27(2), num. 75, pp 57-64 (2010),
Teaching papers
1. I. M. Gómez-Chacón, E. Baro, M. Barbero, Á. Capel, J. Caravantes, P. Contreras, A. Díaz-Cano, M. Folgueira, D. Gómez, Á. González, J. González, B. Ivorra, M. C. Juan, A. Melle, M. Pe, M. Á. Prieto, M. M. Sánchez and Á. M. Ramos, Multimedia learning scenarios in professional development of the novice university mathematics lecturers (2019),
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