Tensor Networks for Noninvertible Symmetries in 3+1D and Beyond
Tensor Networks for Noninvertible Symmetries in 3+1D and Beyond
Gorantla, Pranay; Shao, Shu-Heng; Tantivasadakarn, Nathanan
Tensor networks provide a natural language for noninvertible symmetries in general Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of quantum circuits, to define a noninvertible operator implementing the Wegner duality in 3+1D lattice ℤ2 gauge theory. The noninvertible algebra, which mixes with lattice translations, can be efficientl