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Decomposition of Completely Positive Maps
Mathematische Nachrichten, 1997AbstractThe paper is concerned with completely positive maps on the algebra of unbounded operatore L+(D) and on its completion L(D, D+). A decomposition theorem for continuous positive functionals is proved in [Tim. Loef.), and [Scholz 91] contains a generalization to maps into operator algebra on finite dimensional Hilbert spaces H0.
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Families of completely positive mappings
International Journal of Theoretical Physics, 1979The implementation and dilation of families of completely positive mappings on a *-algebra are considered.
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Complex projections of completely positive quaternionic maps
Theoretical and Mathematical Physics, 2007The authors summarize the density matrix formalism in quaternionic quantum mechanics (QQM) and introduce the von Neumann entropy for quaternionic states. They discuss completely positive quaternionic maps and their complex projections. They consider in particular unitary quaternionic maps, which form a subset of the completely positive quaternionic ...
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On Completely Positive Maps Defined by an Irreducible Correspondence
Canadian Mathematical Bulletin, 1990AbstractCompletely positive maps defined by an irreducible correspondence between two von Neumann algebras M and N are introduced. We give results about their structure and characterize, among them, those which are extreme points in the convex set of all unital completely positive maps from M to N. As particular cases we obtain known results of M.
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On Completely Positive Maps in Algebras of Unbounded Operators
Mathematische Nachrichten, 1991The author has shown that a uniformly continuous completely positive map \(\Phi\) from a maximal \(Op^*\)-algebra \({\mathcal L}^ \dag({\mathcal D})\) of \((F)\)-domain to the algebra \({\mathcal B}({\mathcal H}_ 0)\) of linear operators on a finite-dimensional Hilbert space \({\mathcal H}_ 0\) is uniquely decomposed into \(\Phi=\Phi_ 1+\Phi_ 2 ...
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On Norms of Completely Positive Maps
2010King and Ruskai asked whether the norm of a completely positive map acting between Schatten classes of operators is equal to that of its restriction to the real subspace of self-adjoint operators. Proofs have been promptly supplied by Watrous and Audenaert.
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Dilations of Completely Positive Maps
Journal of the London Mathematical Society, 1978openaire +2 more sources
The Purification of Completely Positive Maps
Bulletin of the London Mathematical Society, 1982openaire +1 more source