Abstract
A class of linear maps in M2(C) displaying diagonal unitary and orthogonal symmetries is analyzed. Using a notion of ω-duality, we prove that a map which is ω-dual to a generalized Schwarz map is again generalized Schwarz. We introduce an infinite hierarchy of generalized Schwarz maps and study the property of an asymptotic limiting map. Interestingly, it is shown that the first example of Schwarz but not completely positive map found by Choi is an example of an asymptotic map.
Published Version
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