IQI Weekly Seminar

Abstract: I will discuss the procedures of gauging and ungauging, reveal their operational meaning and propose their generalization within the framework of quantum error-correcting codes. I will describe ungauging of two subsystem codes with unusual symmetries: the Bacon-Shor code and the gauge color code (GCC). In case of the GCC, three different stabilizer Hamiltonians correspond to distinct thermal symmetry-protected topological (SPT) phases. Lastly, I will explain how to find a 2D fracton SPT phase protected by fractal-like symmetries by exploiting a relation between gapped domain walls and transversal gates. Joint work with B. Yoshida; arXiv:1805.01836.