Results 151 to 160 of about 470,444 (191)
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Initial Correlations and Complete Positivity of Dynamical Maps
Open Systems & Information Dynamics, 2023It is now increasingly realized in the study of open system dynamics that initial correlations do not pose a conceptual difficulty as traditionally believed. A similar methodology as used to describe initial product states can be adopted, with the only difference being that the reduced dynamics is possibly not completely positive, entailing that only ...
Vinayak Jagadish +2 more
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Generalized C⁎-Convexity in Completely Positive Maps
Journal of Mathematical Analysis and ApplicationsIn this paper we generalize a specific quantized convexity structure of the generalized state space of a $C^*$-algebra and examine the associated extreme points. We introduce the notion of $P$-$C^*$-convex subsets, where $P$ is any positive operator on a
A. R, K. Sumesh
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The outer spectral radius and dynamics of completely positive maps
Israel Journal of Mathematics, 2019We examine a special case of an approximation of the joint spectral radius given by Blondel and Nesterov, which we call the outer spectral radius. The outer spectral radius is given by the square root of the ordinary spectral radius of the n 2 by n 2 ...
J. Pascoe
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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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Entropic dimension for completely positive maps
Journal of Statistical Physics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BENATTI, FABIO, NARNHOFER HEIDE
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Dilations, Completely Positive Maps and Geometry
Texts and Readings in Mathematics, 2023B. V. R. Bhat, Tirthankar Bhattacharyya
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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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