Results 271 to 280 of about 230,048 (301)
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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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Linear mappings preserving the completely positive rank
European Journal of Combinatorics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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QUANTUM DYNAMICAL ENTROPY FOR COMPLETELY POSITIVE MAP
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 1999A dynamical entropy for not only shift but also completely positive (CP) map is defined by generalizing the AOW entropy1 defined through quantum Markov chain and AF entropy defined by a finite operational partition. Our dynamical entropy is numerically computed for several models.
Kossakowski, A., Ohya, M., Watanabe, N.
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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