This article is cited in 5 papers

Complex projections of completely positive quaternionic maps

M. Asorey^a, G. Scolarici^b, L. Solombrino<sup>b

a</sup> University of Zaragoza
^b Lecce University

Abstract: 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, quaternion.

DOI: 10.4213/tmf6051

 English version: Theoretical and Mathematical Physics, 2007, 151:3, 735–743

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