Angelo Lucia

Myself

Publication list

This is a list of publications, organized by topic. For a cronological list, see my arXiv author page.

    Quantum memories

    November 2023

  1. [2107.01628] Thermalization in Kitaev's quantum double models via tensor network techniques

    With David Pérez-García, Antonio Pérez-Hernández
    In Forum of Mathematics, Sigma, Volume: 11, Page: e107

    The AKLT model

    December 2023

  2. [2209.01141] Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model

    With Alvin Moon, Amanda Young
    In Annales Henri Poincaré

    April 2023

  3. [2212.11872] A nonvanishing spectral gap for AKLT models on generalized decorated graphs

    With Amanda Young
    In Journal of Mathematical Physics, Volume: 64, Page: 41902 Editor's Pick

    July 2020

  4. [1912.10327] Deformations of the boundary theory of the square-lattice AKLT model

    With John Martyn, Kohtaro Kato
    In Physical Review B, Volume: 102

    January 2020

  5. [1901.09297] A class of two-dimensional AKLT models with a gap

    With Houssam Abdul-Rahman, Marius Lemm, Bruno Nachtergaele, Amanda Young
    In Analytic trends in mathematical physics, Page: 1-21

    Dissipative systems

    February 2024

  6. [2112.00601] Entropy decay for Davies semigroups of a one dimensional quantum lattice

    With Ivan Bardet, Ángela Capel, Li Gao, David Pérez-García, Cambyse Rouzé
    In Communications in Mathematical Physics

    February 2023

  7. [2112.00593] Rapid thermalization of spin chain commuting Hamiltonians

    With Ivan Bardet, Ángela Capel, Li Gao, David Pérez-García, Cambyse Rouzé
    In Phys. Rev. Lett., Volume: 130, Page: 24833

    June 2021

  8. [1908.09004] On the modified logarithmic Sobolev inequality for the heat-bath dynamics for 1D systems

    With Ivan Bardet, Ángela Capel, David Pérez-García, Cambyse Rouzé
    In Journal of Mathematical Physics, Volume: 62, Page: 61901

    November 2018

  9. [1804.09525] Quantum conditional relative entropy and quasi-factorization of the relative entropy

    With Angela Capel, David Pérez-García
    In Journal of Physics A: Mathematical and Theoretical, Volume: 51, Issue: 48

    November 2017

  10. [1705.03521] Superadditivity of quantum relative entropy for general states

    With Ángela Capel, David Pérez-García
    In IEEE Transactions on Information Theory, Volume: 64, Issue: 7, Page: 4758

    September 2015

  11. [1505.02776] Area law for fixed points of rapidly mixing dissipative quantum systems

    With Fernando G. S. L. Brandao, Toby S. Cubitt, Spyridon Michalakis, David Perez-Garcia
    In Journal of Mathematical Physics, Volume: 56, Page: 102202

    April 2015

  12. [1409.7809] Rapid mixing and stability of quantum dissipative systems

    With Toby S. Cubitt, Spyridon Michalakis, David Pérez-García
    In Physical Review A, Volume: 91, Page: 16578 Rapid Communication

    April 2015

  13. [1303.4744] Stability of local quantum dissipative systems

    With Toby S. Cubitt, Spyridon Michalakis, David Perez-Garcia
    In Communications in Mathematical Physics, Volume: 337, Page: 1275-1315

    Spectral gaps

    January 2024

  14. [2409.09685] On the critical finite-size gap scaling for frustration-free hamiltonians

    With Marius Lemm
    preprint

    September 2020

  15. [1809.08185] Tensor network representations from the geometry of entangled states

    With Matthias Christandl, Péter Vrana, Albert H. Werner
    In SciPost Phys., Volume: 9, Page: 42

    March 2019

  16. [1709.07691] Locality at the boundary implies gap in the bulk for 2D PEPS

    With Michael J. Kastoryano, David Perez-Garcia
    In Communications in Mathematical Physics, Volume: 366, Page: 895

    March 2018

  17. [1705.09491] Divide and conquer method for proving gaps of frustration free Hamiltonians

    With Michael J. Kastoryano
    In Journal of Statistical Mechanics: Theory and Experiment, Volume: 2018, Issue: 3, Page: 13893

    Quantum phases and undecidability

    August 2020

  18. [1810.01858] Undecidability of the spectral gap in one dimension

    With Johannes Bausch, Toby Cubitt, David Perez-Garcia
    In Physical Review X, Volume: 10, Page: 31038

    December 2017

  19. [1512.05687] Size-driven quantum phase transitions

    With Johannes Bausch, Toby S. Cubitt, David Pérez-García, Michael M. Wolf
    In Proceedings of the National Academy of Sciences, Volume: 115, Issue: 1, Page: 19-23

    Other

    December 2019

  20. [1901.00899] Recursion relations for chromatic coefficients for graphs and hypergraphs

    With Bergfinnur Durhuus
    In Discussiones Mathematicae Graph Theory, Volume: 42, Issue: 1, Page: 101