Publikationen, an denen er mitarbeitet J. I. Cirac (27)

2021

  1. Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

    Reviews of Modern Physics, Vol. 93, Núm. 4

2020

  1. Probing Thermalization through Spectral Analysis with Matrix Product Operators

    Physical Review Letters, Vol. 124, Núm. 10

2019

  1. Mathematical open problems in projected entangled pair states

    Revista matemática complutense, Vol. 32, Núm. 3, pp. 579-599

2017

  1. Matrix product density operators: Renormalization fixed points and boundary theories

    Annals of Physics, Vol. 378, pp. 100-149

2016

  1. Fundamental limitations in the purifications of tensor networks

    Journal of Mathematical Physics, Vol. 57, Núm. 7

2014

  1. Frustration Free Gapless Hamiltonians for Matrix Product States

    Communications in Mathematical Physics, Vol. 333, Núm. 1, pp. 299-333

2013

  1. Entanglement, fractional magnetization, and long-range interactions

    Physical Review B - Condensed Matter and Materials Physics, Vol. 87, Núm. 3

  2. Purifications of multipartite states: Limitations and constructive methods

    New Journal of Physics, Vol. 15

  3. Robustness in projected entangled pair states

    Physical Review B - Condensed Matter and Materials Physics, Vol. 88, Núm. 11

  4. Topological order in the projected entangled-pair states formalism: Transfer operator and boundary hamiltonians

    Physical Review Letters, Vol. 111, Núm. 9

2012

  1. Gapless hamiltonians for the toric code using the projected entangled pair state formalism

    Physical Review Letters, Vol. 109, Núm. 26

  2. Matrix product states with long-range localizable entanglement

    Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 86, Núm. 6

  3. Order parameter for symmetry-protected phases in one dimension

    Physical Review Letters, Vol. 109, Núm. 5

  4. Resonating valence bond states in the PEPS formalism

    Physical Review B - Condensed Matter and Materials Physics, Vol. 86, Núm. 11

  5. Topological and entanglement properties of resonating valence bond wave functions

    Physical Review B - Condensed Matter and Materials Physics, Vol. 86, Núm. 1

2011

  1. Classifying quantum phases using matrix product states and projected entangled pair states

    Physical Review B - Condensed Matter and Materials Physics, Vol. 84, Núm. 16

2010

  1. A quantum version of Wielandt's inequality

    IEEE Transactions on Information Theory, Vol. 56, Núm. 9, pp. 4668-4673

  2. Characterizing symmetries in a projected entangled pair state

    New Journal of Physics, Vol. 12

  3. PEPS as ground states: Degeneracy and topology

    Annals of Physics, Vol. 325, Núm. 10, pp. 2153-2192

2009

  1. Matrix product states: Symmetries and two-body Hamiltonians

    Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 79, Núm. 4