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Classification of Matrix-Product Unitaries with Symmetries
Zongping Gong, Christoph Sünderhauf, Norbert Schuch +1
We prove that matrix-product unitaries (MPUs) with on-site unitary symmetries are completely classified by the (chiral) index and the cohomology class of the symmetry group , pr…
Interplay of , point group and translation symmetry for PEPS: application to a chiral spin liquid
Anna Hackenbroich, Antoine Sterdyniak, Norbert Schuch
Projected entangled pair states (PEPS) provide exact representations for many non-chiral topologically ordered states whereas their range of applicability to interacting chiral top…
Projected Entangled Pair States with continuous virtual symmetries
Henrik Dreyer, J. Ignacio Cirac, Norbert Schuch
We study Projected Entangled Pair States (PEPS) with continuous virtual symmetries, i.e., symmetries in the virtual degrees of freedom, through an elementary class of models with S…
A gapped SU(3) spin liquid with Z_3 topological order
Ivana Kurecic, Laurens Vanderstraeten, Norbert Schuch
We construct a topological spin liquid (TSL) model on the kagome lattice, with SU(3) symmetry with the fundamental representation at each lattice site, based on Projected Entangled…
Localization with random time-periodic quantum circuits
Christoph Sünderhauf, David Pérez-García, David A. Huse +2
We consider a random time evolution operator composed of a circuit of random unitaries coupling even and odd neighboring spins on a chain in turn. In spirit of Floquet evolution, t…
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…