1-form symmetry-protected topological phases and measurement-based quantum computation
CMSA EVENTS: CMSA QUANTUM MATTER IN MATH & PHYSICS SEMINAR
When: April 28, 2021
1:00 pm - 2:30 pm
Where: Virtually
Speaker: Dominic Williamson - Stanford Institute for Theoretical Physics
I will use Walker-Wang models to demonstrate the connection between 1-form symmetry-protected topological phases and topological measurement-based quantum computation. I will describe the classification of these phases in terms of symmetry domain walls and how these lead to “anomalous” 1-form symmetry actions on the boundary. I will also demonstrate that when the symmetries are strictly enforced these phases persist to finite temperatures and use this to explain symmetry-protected self-correction properties of the boundary topological phases.