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


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September 12, 2023 4:00 pm - 5:00 pm
CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138

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

This seminar will be held in person and on Zoom:

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