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The geometry of single-qubit maps

K. L. Oi, D. (2001) The geometry of single-qubit maps. 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.

Item type: Monograph (Working paper)
ID code: 35351
Notes: 10 pages, 8 figures, REVTeX4
Keywords: quant-ph, qubits, qubit maps, Physics, Optics. Light
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: 24 Jul 2015 08:54
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/35351

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