The geometry of single-qubit maps

K. L. Oi, D. (2001) The geometry of single-qubit maps. Preprint / Working Paper. UNSPECIFIED.

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Abstract

The physically allowed quantum evolutions on a single qubit can be described in terms of their geometry. From a simple parameterisation of unital single-qubit channels, the canonical form of all such channels can be given. The related geometry can be used to understand how to approximate positive maps by completely-positive maps, such as in the case of optimal eavesdropping strategies. These quantum channels can be generated by the appropriate network or through dynamical means. The Str{\o}mer-Woronowisc result can also be understood in terms of this geometry.

ORCID iDs

K. L. Oi, D. ORCID: https://orcid.org/0000-0003-0965-9509

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• Item metadata

  Item type:	Monograph(Preprint / Working Paper)
  ID code:	35351
  Dates:	Date Event 6 June 2001 Published
  Notes:	10 pages, 8 figures, REVTeX4
  Subjects:	Science > Physics Science > Physics > Optics. Light
  Department:	Faculty of Science > Physics
  Depositing user:	Pure Administrator
  Date deposited:	03 Nov 2011 16:25
  Last modified:	09 Feb 2025 16:48
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/35351