Results 11 to 20 of about 230,048 (301)
There Are Many More Positive Maps Than Completely Positive Maps [PDF]
International Mathematics Research Notices, 2017 Abstract A $\ast$-linear map $\Phi$ between matrix spaces is positive if it maps positive semidefinite matrices to positive semidefinite ones, and is called completely positive if all its ampliations $I_n\otimes \Phi$ are positive. In this article, quantitative bounds on the fraction of positive maps that are completely positive are ...
Klep, Igor +3 more
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Fixed points of completely positive maps and their dual maps
Journal of Inequalities and Applications, 2022 Let A ⊂ B ( H ) $\mathcal {A} \subset{\mathcal {B}}(\mathcal {H})$ be a row contraction and Φ A $\Phi _{\mathcal {A}}$ determined by A $\mathcal {A}$ be a completely positive map on B ( H ) ${\mathcal {B}}(\mathcal {H})$ .
Haiyan Zhang, Yanni Dou
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Completely contractive maps between C*-algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We give a simple proof that any completely contractive map between C*-algebras is the top right hand corner of a two completely positive unital matrix operator. Some well-known results are deduced.
W. T. Sulaiman
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Special classes of positive and completely positive maps
Linear Algebra and its Applications, 1997 Many authors have studied the problem of characterising the positive and completely positive maps on square complex matrices of size \(n\) under certain invariant conditions. These authors have characterized the above mentioned maps that leave invariant the diagonal or the \(k\)th elementary symmetric functions of the diagonal entries, for \(1 < k \leq
Li, Chi-Kwong, Woerdeman, Hugo J.
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Characterization of the order relation on the set of completely n-positive linear maps between C*-algebras [PDF]
Surveys in Mathematics and its Applications, 2007 In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C*-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map.
Maria Joita +2 more
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Completely bounded norms of k$k$‐positive maps
Journal of the London Mathematical SocietyAbstractGiven an operator system , we define the parameters (resp. ) defined as the maximal value of the completely bounded norm of a unital ‐positive map from an arbitrary operator system into (resp. from into an arbitrary operator system). In the case of the matrix algebras , for , we compute the exact value and show upper and lower bounds on the
Aubrun, Guillaume +4 more
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When the Assignment Map Is Completely Positive [PDF]
Open Systems & Information Dynamics, 2018 Finding the general set of system-environment states {ρSE} for which the reduced dynamics of the system is completely positive (CP) is the subject of some recent works. An advance in this context appeared in [7], where the problem was solved for the case of CP assignment map. Here, we restate this result using the framework introduced in [8]. This, we
Iman Sargolzahi, Sayyed Yahya Mirafzali
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Completely positive maps [PDF]
, 2020 We have seen that C*-algebras boast a number of good structural properties that distinguish them from arbitrary Banach algebras. There are various types of maps one could consider between C*-algebras which aim at preserving particular C*-algebraic properties.
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BURES DISTANCE FOR COMPLETELY POSITIVE MAPS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2013 Bures had defined a metric on the set of normal states on a von Neumann algebra using GNS representations of states. This notion has been extended to completely positive maps between C*-algebras by Kretschmann, Schlingemann and Werner. We present a Hilbert C*-module version of this theory.
Bhat, B. V. Rajarama, Sumesh, K.
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Foods, 2022 This study aimed to assess the risk of exposure to Mycobacterium avium subsp. paratuberculosis (MAP) via milk for the Slovenian consumer. MAP is suspected to be associated with several diseases in humans, therefore the risk of exposure should be better ...
Tanja Knific +5 more
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