CMSA Topological Quantum Matter Seminar: Homotopy classes of loops of Clifford unitaries

SEMINARS, CMSA EVENTS

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