5 citations · 7 across the 7 of their papers we have counts for
9 papers · 1 filter
Non-abelian quantum double models from iterated gauging
David Blanik, José Garre-Rubio
We reconstruct all (2+1)D quantum double models of finite groups from their boundary symmetries through the repeated application of a gauging procedure, extending the existing cons…
Two-Dimensional Bialgebras and Quantum Groups: Algebraic Structures and Tensor Network Realizations
José Garre-Rubio, András Molnár, Germán Sierra
We introduce a framework to define coalgebra and bialgebra structures on two-dimensional (2D) square lattices, extending the algebraic theory of Hopf algebras and quantum groups be…
A simple mechanism for unstable degeneracies in local Hamiltonians
Jose Garre Rubio
If a local Hamiltonian eigenstate is mapped to another state by local operators commuting with the Hamiltonian terms, the latter is also an eigenstate. This basic observation impli…
Gauging Quantum Phases: A Matrix Product State Approach
David Blanik, José Garre-Rubio, Norbert Schuch
Utilizing the framework of matrix product states, we investigate gauging as a method for exploring quantum phases of matter. Specifically, we describe how symmetry-protected topolo…
MPS Stability and the Intersection Property
José Garre-Rubio, Alex Turzillo, András Molnár
We identify a property of the local tensors of matrix product states (MPS) that guarantees that their parent Hamiltonians satisfy the intersection property. The intersection proper…
Systematic construction of stabilizer codes via gauging abelian boundary symmetries
Bram Vancraeynest-De Cuiper, José Garre-Rubio
We propose a systematic framework to construct a (d+1)-dimensional stabilizer model from an initial generic d-dimensional abelian symmetry. Our approach builds upon the iterative g…