Prabha Mandayam: Mutually Unbiased Bases:
	complementary observables in finite-dimensional Hilbert spaces
	Chair:  Sibasish Ghosh

	Abstract:  Mutually unbiased bases (MUBs) lie at the heart of
	theoretical investigations into complementarity in quantum theory.
	While much is known about the existence and properties of such bases
	in certain dimensions, there are interesting mathematical questions
	that remain to be answered. In particular, constructions of maximal
	sets of (d+1) MUBs in Hilbert spaces of prime-powered dimensions are
	known, but not a single example of such a set is known in other
	dimensions (d = 6, 10, etc.).  In this talk, we review some of the
	known constructions of MUBs  and discuss the big open problem of
	whether there exist 7 such bases in a Hilbert space of dimension d=6. 
	We will also briefly illustrate the usefulness of such unbiased bases
	in the context of quantum information theory.