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Angelo Lucia
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Jahr
Stability of local quantum dissipative systems
TS Cubitt, A Lucia, S Michalakis, D Perez-Garcia
Communications in Mathematical Physics 337, 1275-1315, 2015
662015
Undecidability of the spectral gap in one dimension
J Bausch, TS Cubitt, A Lucia, D Perez-Garcia
Physical Review X 10 (3), 031038, 2020
442020
A class of two-dimensional AKLT models with a gap
H Abdul-Rahman, M Lemm, A Lucia, B Nachtergaele, A Young
Analytic Trends in Mathematical Physics 741, 1-21, 2020
28*2020
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
272015
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
262018
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
232021
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
232018
Rapid mixing and stability of quantum dissipative systems
A Lucia, TS Cubitt, S Michalakis, D Pérez-García
Physical Review A 91 (4), 040302, 2015
212015
Locality at the boundary implies gap in the bulk for 2D PEPS
MJ Kastoryano, A Lucia, D Perez-Garcia
Communications in Mathematical Physics 366, 895-926, 2019
192019
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
182017
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
172018
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
162021
Tensor network representations from the geometry of entangled states
M Christandl, A Lucia, P Vrana, AH Werner
SciPost Physics 9 (3), 042, 2020
122020
Rapid thermalization of spin chain commuting Hamiltonians
I Bardet, Á Capel, L Gao, A Lucia, D Pérez-García, C Rouzé
arXiv preprint arXiv:2112.00593, 2021
102021
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
52021
Recursion relations for chromatic coefficients for graphs and hypergraphs
B Durhuus, A Lucia
Discussiones Mathematicae Graph Theory 42 (1), 101-121, 2022
12022
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
A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs
A Lucia, A Young
arXiv preprint arXiv:2212.11872, 2022
2022
Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
A Lucia, A Moon, A Young
arXiv preprint arXiv:2209.01141, 2022
2022
Stability and area law for rapidly mixing quantum dissipative systems
A Lucia
arXiv preprint arXiv:1703.08346, 2016
2016
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