Homotopy classes of loops of Clifford unitaries

Name: Homotopy classes of loops of Clifford unitaries
Start: 2023-09-12T16:00:00-04:00
End: 2023-09-12T17:00:00-04:00
Location: CMSA, 20 Garden St, G10

CMSA EVENTS: CMSA TOPOLOGICAL QUANTUM MATTER SEMINAR

When: September 12, 2023

4:00 pm - 5:00 pm

Where: CMSA, 20 Garden St, G10

Address: 20 Garden Street, Cambridge, MA 02138, United States

Speaker: Roman Geiko - UCLA

We study Clifford locality-preserving unitaries and stabilizer Hamiltonians by means of Hermitian K-theory. We demonstrate how the notion of algebraic homotopy of modules over Laurent polynomial rings translates into the connectedness of two short-range entangled stabilizer Hamiltonians by a shallow Clifford circuit. We apply this observation to a classification of homotopy classes of loops of Clifford unitaries. The talk is based on a work in collaboration with Yichen Hu https://arxiv.org/abs/2306.09903.

This seminar will be held in person and on Zoom: https://harvard.zoom.us/j/97514733653?pwd=Q05XN3oxSnYvaXlnS0dsRnVyMXZMUT09

Password: 353114