PUBLICATIONS
Research papers
24. A. Bluhm, Á. Capel, P. Costa Rico and A. Jenčová,
Belavkin-Staszewski Quantum Markov Chains,
preprint, 2025,
arXiv: 2501.09708
23. Á. Capel, P. Gondolf, J. Kochanowski and C. Rouzé,
Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics,
preprint, 2024,
arXiv: 2412.01732
22. K. Audenaert, B. Bergh, N. Datta, M. G. Jabbour, Á. Capel and P. Gondolf,
Continuity bounds for quantum entropies arising from a fundamental entropic inequality,
preprint, 2024,
arXiv: 2408.15306
21. J. Kochanowski, Á. M. Alhambra, Á. Capel and C. Rouzé,
Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians,
preprint, 2024,
arXiv: 2404.16780
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
19. A. Bluhm, Á. Capel and A. Pérez-Hernández,
Strong decay of correlations for Gibbs states in any dimension,
preprint, 2024,
arXiv: 2401.10147
18. Á. Capel, M. Moscolari, S. Teufel and T. Wessel,
From decay of correlations to locality and stability of the Gibbs state,
Communications in Mathematical Physics, 406, 43, 2025,
DOI: 10.1007/s00220-024-05198-x
arXiv: 2310.09182
17. A. Bluhm, Á. Capel, P. Gondolf and T. Möbus,
Unified framework for continuity of sandwiched Rényi divergences,
Annales Henri Poincaré (to appear), 2023,
DOI: 10.1007/s00023-024-01519-x
arXiv: 2308.12425
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 (for Paul Gondolf)
15. Y. Jia and Á. Capel,
A generic quantum Wielandt's inequality,
Quantum, 8, 1331, 2024,
DOI: 10.22331/q-2024-05-02-1331
arXiv: 2301.08241
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
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
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
9. Á. Capel and Y. Jia,
Comment on “Generators of matrix algebras in dimension 2 and 3",
preprint, 2021,
arXiv: 2101.07159
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
7. Á. Capel and J. Ocáriz,
Approximation with Neural Networks in Variable Lebesgue Spaces,
preprint, 2020,
arXiv: 2007.04166
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
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
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
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
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
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,
3. Á. Capel, Y yo quiero ser... Matemática Física, chapter of the book "Y yo quiero ser..." (2018),
2. Á. Arias, J. P. Ávila, Á. Capel and P. Morales, Mates en Acción, Matematicalia, vol. 7, num. 3 (Sept. 2011),
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),