Geodesic
Complex projections of completely positive quaternionic maps
Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 360-370

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We show that the complex projection of a completely positive quaternionic map of quaternionic density matrices is a positive map in the space of complex density matrices, and we briefly outline some of its properties. To illustrate this result, we study the complex projection of a one-parameter quaternionic unitary dynamics of a spin-$1/2$ quantum system.
Keywords: open quantum system, positive map
Mots-clés : quaternion. 
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     author = {M. Asorey and G. Scolarici and L. Solombrino},
     title = {Complex projections of completely positive quaternionic maps},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {3},
     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a3/}
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M. Asorey; G. Scolarici; L. Solombrino. Complex projections of completely positive quaternionic maps. Teoretičeskaâ i matematičeskaâ fizika, Tome 151 (2007) no. 3, pp. 360-370. http://geodesic.mathdoc.fr/item/TMF_2007_151_3_a3/