Classical Representations of Qubit Channels

  • Authors:

  • Tanner Crowder;Keye Martin

  • Affiliations:

  • Naval Research Laboratory, Center for High Assurance Computer Systems, Washington DC 20375;Naval Research Laboratory, Center for High Assurance Computer Systems, Washington DC 20375

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2011

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Abstract

A set of qubit channels has a classical representation when it is isomorphic to the convex closure of a group of classical channels. We prove that there are five such groups, each being either a subgroup of the alternating group on four letters, or a subgroup of the symmetric group on three letters.