N ov 2 00 1 An Analysis of Completely-Positive Trace-Preserving Maps on M 2

@inproceedings{Ruskai2001NO2,
  title={N ov 2 00 1 An Analysis of Completely-Positive Trace-Preserving Maps on M 2},
  author={Mary Beth Ruskai and Stanislaw J. Szarek and Elisabeth Werner},
  year={2001}
}
We give a useful new characterization of the set of all completely positive, trace-preserving maps Φ : M2 → M2 from which one can easily check any trace-preserving map for complete positivity. We also determine explicitly all extreme points of this set, and give a useful parameterization after reduction to a certain canonical form. This allows a detailed examination of an important class of non-unital extreme points that can be characterized as having exactly two images on the Bloch sphere. We… CONTINUE READING
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