CMSA Quantum Matter in Mathematics and Physics: 1-form symmetry-protected topological phases and measurement-based quantum computation


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April 28, 2021 1:00 pm - 2:30 pm
via Zoom Video Conferencing

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.