The geometry of single-qubit maps

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

[thumbnail of 0106035v1.pdf]
Preview
PDF. Filename: 0106035v1.pdf
Preprint

Download (290kB)| Preview

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 logoORCID: https://orcid.org/0000-0003-0965-9509;