Feb 25 2021

Quantum Topology Seminar: Searching for a Quantum Algorithm for Khovanov Homology, by Louis H Kauffman

February 25, 2021

12:00 PM - 12:50 PM




Chicago, IL

Louis H Kauffman (UIC, NSU): Searching for a Quantum Algorithm for Khovanov Homology

This talk will discuss our search for a quantum algorithm for Khovanov Homology.
The project began a long time ago with the speaker and more recently with Nadia Shirakova and Sam Lomonaco.
It remains in an unfinished state. The problem is how could a quantum black box efficiently produce the chain complex for Khovanov homology
from the combinatorial input data of a knot or quantum knot? Once we have such data, it is possible to apply combinatorial Hodge Theory and the
phase estimation methods of Lloyd and Zanardi to compute ranks of homology groups. But how can a quantum black box know the chain complex?

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Louis Kauffman

Date posted

Mar 5, 2021

Date updated

Mar 5, 2021


Louis H Kauffman | (UIC, NSU)