Results 11 to 20 of about 231,003 (300)
Interpolation by completely positive maps [PDF]
Linear and Multilinear Algebra, 2011 Given commuting families of Hermitian matrices {A 1, … , A k } and {B 1, … , B k }, conditions for the existence of a completely positive map Φ, such that Φ(A j ) = B j for j = 1, … , k, are studied. Additional properties such as unital or/and trace preserving on the map Φ are also considered.
Chi-Kwong Li, Yiu Poon
exaly +2 more sources
Fixed points of completely positive maps and their dual maps [PDF]
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 [PDF]
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 [PDF]
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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Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion [PDF]
Quantum, 2023 Accurate modeling of decoherence errors in quantum processors is crucial for analyzing and improving gate fidelities. To increase the accuracy beyond that of the Lindblad dynamical map, several generalizations have been proposed, and the exploration of ...
Ziwen Huang +5 more
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The minimum norm of certain completely positive maps [PDF]
Proceedings of the American Mathematical Society, 1995 Let L be a completely bounded linear map from a unital C ∗
Ching Yun Suen
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Operational applications of the diamond norm and related measures in quantifying the non-physicality of quantum maps [PDF]
Quantum, 2021 Although quantum channels underlie the dynamics of quantum states, maps which are not physical channels — that is, not completely positive — can often be encountered in settings such as entanglement detection, non-Markovian quantum dynamics, or error ...
Bartosz Regula, Ryuji Takagi, Mile Gu
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Physical Implementability of Linear Maps and Its Application in Error Mitigation [PDF]
Quantum, 2021 Completely positive and trace-preserving maps characterize physically implementable quantum operations. On the other hand, general linear maps, such as positive but not completely positive maps, which can not be physically implemented, are fundamental ...
Jiaqing Jiang, Kun Wang, Xin Wang
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