The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions A Capel, C Rouzé, DS França arXiv preprint arXiv:2009.11817, 2020 | 24 | 2020 |
Quantum conditional relative entropy and quasi-factorization of the relative entropy Á Capel, A Lucia, D Pérez-García Journal of Physics A: Mathematical and Theoretical 51 (48), 484001, 2018 | 24 | 2018 |
On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems I Bardet, A Capel, A Lucia, D Pérez-García, C Rouzé Journal of Mathematical Physics 62 (6), 061901, 2021 | 23 | 2021 |
Superadditivity of quantum relative entropy for general states A Capel, A Lucia, D Pérez-García IEEE Transactions on Information Theory 64 (7), 4758-4765, 2017 | 19 | 2017 |
Entropy decay for Davies semigroups of a one dimensional quantum lattice I Bardet, Á Capel, L Gao, A Lucia, D Pérez-García, C Rouzé arXiv preprint arXiv:2112.00601, 2021 | 16 | 2021 |
Approximate tensorization of the relative entropy for noncommuting conditional expectations I Bardet, A Capel, C Rouzé Annales Henri Poincaré 23, 101-140, 2022 | 13 | 2022 |
Exponential decay of mutual information for Gibbs states of local Hamiltonians A Bluhm, Á Capel, A Pérez-Hernández Quantum 6, 650, 2022 | 12 | 2022 |
Rapid thermalization of spin chain commuting Hamiltonians I Bardet, Á Capel, L Gao, A Lucia, D Pérez-García, C Rouzé Physical Review Letters 130 (6), 060401, 2023 | 10 | 2023 |
A strengthened data processing inequality for the Belavkin–Staszewski relative entropy A Bluhm, A Capel Reviews in Mathematical Physics 32 (02), 2050005, 2020 | 9 | 2020 |
Numerical radius attaining compact linear operators A Capel, M Martin, J Meri Journal of Mathematical Analysis and Applications 445 (2), 1258-1266, 2017 | 8 | 2017 |
Quantum Logarithmic Sobolev Inequalities for Quantum Many-Body Systems: An approach via Quasi-Factorization of the Relative Entropy A Capel Instituto de Ciencias Matemáticas y Universidad Autónoma de Madrid, 2019 | 6* | 2019 |
Weak quasi-factorization for the Belavkin-Staszewski relative entropy A Bluhm, Á Capel, A Pérez-Hernández 2021 IEEE International Symposium on Information Theory (ISIT), 118-123, 2021 | 5 | 2021 |
Continuity of quantum entropic quantities via almost convexity A Bluhm, Á Capel, P Gondolf, A Pérez-Hernández arXiv preprint arXiv:2208.00922, 2022 | 4 | 2022 |
Approximation with neural networks in variable lebesgue spaces Á Capel, J Ocáriz arXiv preprint arXiv:2007.04166, 2020 | 3 | 2020 |
A generic quantum Wielandt's inequality Y Jia, A Capel arXiv preprint arXiv:2301.08241, 2023 | | 2023 |
arXiv: Exponential decay of mutual information for Gibbs states of local Hamiltonians A Bluhm, Á Capel, A Pérez-Hernández | | 2021 |
Comment on" Generators of matrix algebras in dimension 2 and 3" A Capel, Y Jia arXiv preprint arXiv:2101.07159, 2021 | | 2021 |
Escenarios Multimedia en Formación de Futuros Profesores Universitarios de Matemáticas (ESCEMMAT-Univ)(2ªFase) IM Gómez Chacón, A Díaz-Cano Ocaña, M Folgueira López, ... Ene 10, 48, 2021 | | 2021 |
Quantum logarithmic sobolev inequalities for quantum many-body systems AC Cuevas Quantum logarithmic sobolev inequalities for quantum many-body systems, 2019 | | 2019 |
Escenarios multimedia en formación de futuros profesores universitarios de matemáticas (ESCEMMAT-Univ) IM Gómez-Chacón, E Baro González, M Barbero, Á Capel Cuevas, ... | | 2019 |