Angelo Lucia
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Stability of local quantum dissipative systems
TS Cubitt, A Lucia, S Michalakis, D Perez-Garcia
Communications in Mathematical Physics 337, 1275-1315, 2015
522015
Undecidability of the spectral gap in one dimension
J Bausch, TS Cubitt, A Lucia, D Perez-Garcia
Physical Review X 10 (3), 031038, 2020
282020
Size-driven quantum phase transitions
J Bausch, TS Cubitt, A Lucia, D Perez-Garcia, MM Wolf
Proceedings of the National Academy of Sciences 115 (1), 19-23, 2018
222018
Area law for fixed points of rapidly mixing dissipative quantum systems
FGSL Brandao, TS Cubitt, A Lucia, S Michalakis, D Perez-Garcia
Journal of mathematical physics 56 (10), 102202, 2015
192015
A class of two-dimensional AKLT models with a gap
H Abdul-Rahman, M Lemm, A Lucia, B Nachtergaele, A Young
Contemporary Mathematics 741, 1-21, 2020
182020
Rapid mixing and stability of quantum dissipative systems
A Lucia, TS Cubitt, S Michalakis, D Pérez-García
Physical Review A 91 (4), 040302, 2015
182015
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
162018
Divide and conquer method for proving gaps of frustration free Hamiltonians
MJ Kastoryano, A Lucia
Journal of Statistical Mechanics: Theory and Experiment 2018 (3), 033105, 2018
162018
Locality at the boundary implies gap in the bulk for 2D PEPS
MJ Kastoryano, A Lucia, D Perez-Garcia
Communications in Mathematical Physics 366 (3), 895-926, 2019
152019
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
122017
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
112021
Tensor network representations from the geometry of entangled states
M Christandl, A Lucia, P Vrana, AH Werner
SciPost Phys 9 (3), 42, 2020
42020
Analytic Trends in Mathematical Physics
H Abdul-Rahman, M Lemm, A Lucia, B Nachtergaele, A Young
American Mathematical Society, 2020
22020
Deformations of the boundary theory of the square-lattice AKLT model
J Martyn, K Kato, A Lucia
Physical Review B 102 (3), 035121, 2020
12020
Thermalization in Kitaev's quantum double models via Tensor Network techniques
A Lucia, D Pérez-García, A Pérez-Hernández
arXiv preprint arXiv:2107.01628, 2021
2021
Recursion relations for chromatic coefficients for graphs and hypergraphs
B Durhuus, A Lucia
arXiv preprint arXiv:1901.00899, 2019
2019
Stability and area law for rapidly mixing quantum dissipative systems
A Lucia
arXiv preprint arXiv:1703.08346, 2016
2016
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Artikelen 1–17