IQI Weekly Seminar

Thursday September 27, 2018 2:00 PM

Spurious topological entanglement entropy and subsystem symmetries in compactified cubic code

Speaker: Dominic Williamson, Yale University
Location: Annenberg 107

Abstract: Compactifying one direction of the cubic code results in a family of two dimensional topological orders, equivalent to stacks of toric code enriched by translation symmetry. Surprisingly, some of these models have unbroken rigid 1D subsystem symmetries that lead to spurious contributions to the topological entanglement entropy. These spurious contributions can appear in a bulk computation of the topological entanglement entropy from a linear combination of subregion entropies with cancelling boundary terms. We introduce an entropic quantity that measures the presence of such spurious contributions.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Series Institute for Quantum Information (IQI) Weekly Seminar Series

Contact: Bonnie Leung at 626.395.4964 bjleung@caltech.edu