Papers published by Ignacio Cirac and his collaborators at ICMAT

2020

  • Cirac, J.I.; Pérez-García, D.; Schuch, N.; Verstraete, F. “Matrix product states and projected entangled pair states: Concepts, symmetries, and theorems”, arXiv: 2011.12127.
  • García-Ripoll, J.J.; Ge, Y.; Iblisdir, S.; Molnár, A.; Pérez-García, D.; Scarpa, G.; Schuch, N. “Projected Entangled Pair States: Fundamental Analytical and Numerical Limitations”, Physical Review Letters, 125(21), 210504 (2020).

2019

  • Cirac, J.I.; Garre-Rubio, J.; Pérez-García, D. “Mathematical open problems in projected entangled pair states”, Revista Matemática Complutense 32 (3), 579-599 (2019)

2018

  • Cirac, J.I.; Cuevas, G. de las; Pérez-García, D.; Schuch, N.; “Continuum limits of Matrix Product States”, Rev. B. 98, 174303 (2018).
  • Cirac, J.I.; Garre-Rubio, J.; Molnar, A.; Pérez-García, D.; Schuch, N.; “Normal projected entangled pair states generating the same state”, New J. Phys. 20, 113017 (2018).
  • Cirac, J.I.; Huse, D.A.; Pérez-García, D.; Schuch, N.; Sünderhauf, C. “Localization with random time-dependent quantum circuits”, Rev. B 98, 134204 (2018).

2017

  • Cirac, J.I.; Pérez-García, D.; Schuch, N.; Verstraete, F. “Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories”, Annals of Physics 378, 100 (2017).
  • Cirac, J.I.; Pérez-García, D.; Schuch, N.; Verstraete, F. “Matrix Product Unitaries: Structure, Symmetries and Topological Invariants”, Stat. Mech. (2017) 983105.
  • Cirac, J.I.; Cuevas, G. de las; Pérez-García, D.; Schuch, N. “Irreducible forms of Matrix Product States: Theory and Applicacions”, J. Math. Phys. 58, 121901 (2017).

2016

  • Cirac, J.I.; Cubitt, T.S.; Cuevas, G. de las; Wolf, M.M.; Pérez-García, D. “Fundamental limitations in the purifications of tensor networks”, Math. Phys. 57, 071902 (2016).
  • Fernández-González, C.; Landon-Cardinal, O.; Mong, R. S.K.; Pérez-García, D.; Schuch, N. “Constructing topological models by symmetrization: A PEPS study”, Phys. Rev. B 94, 155106 (2016).