Results 11 to 20 of about 470,444 (191)
The Curvature and Index of Completely Positive Maps [PDF]
Proceedings of the London Mathematical Society, 2003 We study conjugacy invariants for completely positive maps that are inspired by the concept of curvature introduced for commuting d-tuples of contractions by ...
Baruch Solel
exaly +4 more sources
Positive map as difference of two completely positive or super-positive maps
, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Andô
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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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Perspectives and completely positive maps [PDF]
Annals of Functional Analysis, 2017 New title. Minor improvements of content and style.
Frank Hansen
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An approximate unique extension property for completely positive maps [PDF]
Journal of Functional Analysis, 2023 We study the closure of the unitary orbit of a given point in the non-commutative Choquet boundary of a unital operator space with respect to the topology of pointwise norm convergence. This may be described more extensively as the $\ast$-representations
I. Thompson
semanticscholar +1 more source
Ergodic Decomposition in the Space of Unital Completely Positive Maps [PDF]
Infinite Dimensional Analysis Quantum Probability and Related Topics, 2023 The classical decomposition theory for states on a C*-algebra that are invariant under a group action has been studied by using the theory of orthogonal measures on the state space \cite{BR1}.
Angshuman Bhattacharya +1 more
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Peripherally automorphic unital completely positive maps [PDF]
Linear Algebra and its Applications, 2022 We identify and characterize unital completely positive (UCP) maps on finite dimensional $C^*$-algebras for which the Choi-Effros product extended to the space generated by peripheral eigenvectors matches with the original product.
B.V. Rajarama Bhat +2 more
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Spectral and ergodic properties of completely positive maps and decoherence [PDF]
Linear Algebra and its Applications, 2021 In an attempt to propose more general conditions for decoherence to occur, we study spectral and ergodic properties of unital, completely positive maps on not necessarily unital C∗algebras, with a particular focus on gapped maps for which the transient ...
F. Fidaleo, Federico Ottomano, S. Rossi
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Completely positive completely positive maps (and a resource theory for non-negativity of quantum amplitudes) [PDF]
Linear Algebra and its Applications, 2021 In this work we examine quantum states which have non-negative amplitudes (in a fixed basis) and the channels which preserve them. These states include the ground states of stoquastic Hamiltonians and they are of interest since they avoid the Sign ...
N. Johnston, Jamie Sikora
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Asymptotic lifting for completely positive maps [PDF]
Journal of Functional Analysis, 2021 Let $A$ and $B$ be $C^*$-algebras with $A$ separable, let $I$ be an ideal in $B$, and let $\psi\colon A\to B/I$ be a completely positive contractive linear map.
M. Forough, Eusebio Gardella, K. Thomsen
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