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PUBLICATIONS

All my research papers can be found in arXiv and Scholar

Research papers

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

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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

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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, 

Communications in Mathematical Physics (to appear), 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, 

Annales Henri Poincaré (to appear), 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 (for Paul Gondolf)

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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

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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,

DOI: 10.1109/TIT.2023.3277892

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,

DOI: 10.1088/1751-8121/aae4cf

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,

DOI: 10.1109/TIT.2017.2772800

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, 

Link

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3. Á. Capel, Y yo quiero ser... Matemática Física, chapter of the book "Y yo quiero ser..." (2018),

Link

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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), 

Link

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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), 

Link

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), 

Link

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