Topological phases with generalized global symmetries
Topological phases with generalized global symmetries
We present simple lattice realizations of symmetry-protected topological phases with $q$-form global symmetries where charged excitations have $q$ spatial dimensions. Specifically, we construct $d$ space-dimensional models supported on a $(d+1)$-colorable graph by using a family of unitary phase gates, known as multiqubit control-$Z$ gates in quantum information community. In our …