Institute for Mathematics and Its Applications

Talk abstract:

The Grand Tour in Four Dimensions and Other Mysteries

Neil Sloane, AT&T Laboratories

How should you choose a nice set of planes in four (or more) dimensions? Or more generally how do you find packings in Grassmannian manifolds? The answers turn out to be connected in a mysterious way with error-correcting codes for quantum computing.

This is based on joint work with Calderbank, Conway, Hardin, Rains, Shor.

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