Publications dans lesquelles il/elle collabore avec J. I. Cirac (26)

2021

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

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

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

2008

  1. Peps as unique ground states of local hamiltonians

    Quantum Information and Computation, Vol. 8, Núm. 6-7, pp. 650-663