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Oxford Quantum Talks Archive

Information theoretic representations of qubit channels

Keye Martin, Naval Research Laboratory
Quantum Physics and Logic 2010, May 2010, University of Oxford

A set of qubit channels has a classical representation when it is isomorphic to the convex closure of a group of classical channels. We know that up to isomorphism there are five such sets, each corresponding to either a subgroup of the alternating group on four letters, or a subgroup of the symmetric group on three letters. In this paper, we show that the classical representation of a qubit channel also carries its information theoretic data -- in particular, both the Holevo capacity and the scope of a unital qubit channel can be completely calculated from a systematically determined classical channel.

[video] [streaming video]