5 citations · 6 across the 2 of their papers we have counts for
6 papers
String order parameters for symmetry fractionalization in an enriched toric code
José Garre-Rubio, Mohsin Iqbal, David T. Stephen
We study a simple model of symmetry-enriched topological order obtained by decorating a toric code model with lower-dimensional symmetry-protected topological states. We show that…
Subsystem symmetry enriched topological order in three dimensions
David T. Stephen, José Garre-Rubio, Arpit Dua +1
We introduce a model of three-dimensional (3D) topological order enriched by planar subsystem symmetries. The model is constructed starting from the 3D toric code, whose ground sta…
Symmetries in topological tensor network states: classification, construction and detection
José Garre-Rubio
This thesis contributes to the understanding of symmetry-enriched topological phases focusing on their descriptions in terms of tensor network states. The Projected Entangled Pair…
Local order parameters for symmetry fractionalization
José Garre-Rubio, Sofyan Iblisdir
We propose a family of order parameters to detect the symmetry fractionalization class of anyons in 2D topological phases. This fractionalization class accounts for the projective,…
Mathematical open problems in Projected Entangled Pair States
J. Ignacio Cirac, José Garre-Rubio, David Pérez-García
Projected Entangled Pair States (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to pr…
Normal projected entangled pair states generating the same state
Andras Molnar, José Garre-Rubio, David Pérez-García +2
Tensor networks are generated by a set of small rank tensors and define many-body quantum states in a succinct form. The corresponding map is not one-to-one: different sets of tens…