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Ángela Capel
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The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions
Á Capel, C Rouzé, DS França
arXiv preprint arXiv:2009.11817, 2020
432020
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), 2021
322021
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
272023
Exponential decay of mutual information for Gibbs states of local Hamiltonians
A Bluhm, Á Capel, A Pérez-Hernández
Quantum 6, 650, 2022
272022
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
262018
Superadditivity of quantum relative entropy for general states
A Capel, A Lucia, D Perez-Garcia
IEEE Transactions on Information Theory 64 (7), 4758-4765, 2017
242017
Entropy decay for Davies semigroups of a one dimensional quantum lattice
I Bardet, Á Capel, L Gao, A Lucia, D Pérez-García, C Rouzé
Communications in Mathematical Physics 405 (2), 42, 2024
222024
Approximate tensorization of the relative entropy for noncommuting conditional expectations
I Bardet, A Capel, C Rouzé
Annales Henri Poincaré 23, 101-140, 2022
182022
Continuity of quantum entropic quantities via almost convexity
A Bluhm, Á Capel, P Gondolf, A Pérez-Hernández
IEEE Transactions on Information Theory 69 (9), 5869-5901, 2023
142023
A strengthened data processing inequality for the Belavkin–Staszewski relative entropy
A Bluhm, Á Capel
Reviews in Mathematical Physics 32 (02), 2050005, 2020
112020
Numerical radius attaining compact linear operators
A Capel, M Martin, J Meri
Journal of Mathematical Analysis and Applications 445 (2), 1258-1266, 2017
102017
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
8*2019
General continuity bounds for quantum relative entropies
A Bluhm, Á Capel, P Gondolf, A Pérez-Hernández
2023 IEEE International Symposium on Information Theory (ISIT), 162-167, 2023
62023
From decay of correlations to locality and stability of the Gibbs state
Á Capel, M Moscolari, S Teufel, T Wessel
arXiv preprint arXiv:2310.09182, 2023
52023
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
52021
Approximation with neural networks in variable lebesgue spaces
Á Capel, J Ocáriz
arXiv preprint arXiv:2007.04166, 2020
52020
Strong decay of correlations for Gibbs states in any dimension
A Bluhm, Á Capel, A Pérez-Hernández
arXiv preprint arXiv:2401.10147, 2024
32024
A generic quantum Wielandt's inequality
Y Jia, A Capel
Quantum 8, 1331, 2024
22024
Conditional Independence of 1D Gibbs States with Applications to Efficient Learning
P Gondolf, SO Scalet, A Ruiz-de-Alarcon, AM Alhambra, A Capel
arXiv preprint arXiv:2402.18500, 2024
22024
Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
J Kochanowski, AM Alhambra, A Capel, C Rouzé
arXiv preprint arXiv:2404.16780, 2024
12024
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