Some convex subsets of the set of quantum channels

Thursday, July 27, 2023 3:30 pm - 4:30 pm EDT

Some convex subsets of the set of quantum channels<

CS/Math seminar - Rajesh Pereira, The University of Guelph

We explore two convex subsets of the sets of quantum channels.  The set of mixed unitary channels and the set of entanglement breaking channels.  We study the geometry of these sets, and show how certain geometric and spectral properties of these sets can be studied using positive definite functions, stochastic matrices and other mathematical tools.

Parts of this are joint work with Jennifer Ahiable, David Kribs, Jeremy Levick, Corey O'Meara and Mizanur Rahaman.

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