A completely positive map associated with a positive map
Copyright policy )A completely positive map associated with a positive map
We show that each positive map from B(K) to B(H) with K and H finite dimensional Hilbert spaces is a scalar multiple of a map of the form $Tr - ψ$ with $ψ$ completely positive. This is used to give necessary and sufficient conditions for maps to be C-positive for a large class of mapping cones; in particular we apply the results to k-positive maps.
Linear operators on Banach algebras, \(k\)-positive maps, Quantum Physics, Mathematics - Operator Algebras, FOS: Mathematics, Operator spaces and completely bounded maps, FOS: Physical sciences, mapping cones, Operator Algebras (math.OA), Quantum Physics (quant-ph), completely positive maps
Linear operators on Banach algebras, \(k\)-positive maps, Quantum Physics, Mathematics - Operator Algebras, FOS: Mathematics, Operator spaces and completely bounded maps, FOS: Physical sciences, mapping cones, Operator Algebras (math.OA), Quantum Physics (quant-ph), completely positive maps
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!