A Free Object in Quantum Information Theory

  • Authors:

  • Keye Martin;Johnny Feng;Sanjeevi Krishnan

  • Affiliations:

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

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2010

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Abstract

We consider three examples of affine monoids. The first stems from information theory and provides a natural model of image distortion, as well as a higher-dimensional analogue of a binary symmetric channel. The second, from physics, describes the process of teleporting quantum information with a given entangled state. The third is purely a mathematical construction, the free affine monoid over the Klein four group. We prove that all three of these objects are isomorphic.