Results 11 to 20 of about 1,504,261 (185)
Rank 2 preservers on symmetric matrices with zero trace [PDF]
ITM Web of Conferences, 2021 Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T :V1 → V2 is a linear map, and k a fixed positive integer, we say that T is a rank k preserver if for any matrix Aϵ, V1 ρ(A) = k implies ρ(T( A))= k .
Kok Wai Keong
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On the positive linear set valued maps [PDF]
Miskolc Mathematical Notes, 2013 In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of upper and lower norms of the positive linear set valued maps are obtained.
Huseyin, Anar, Huseyin, Nesir
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Positive Maps Which Are Not Completely Positive [PDF]
, 2000 The concept of the {\em half density matrix} is proposed. It unifies the quantum states which are described by density matrices and physical processes which are described by completely positive maps.
A. Peres +17 more
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Certain integral inequalities involving tensor products, positive linear maps, and operator means
Journal of Inequalities and Applications, 2016 We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means.
Pattrawut Chansangiam
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Affine maps of density matrices [PDF]
, 2004 For quantum systems described by finite matrices, linear and affine maps of matrices are shown to provide equivalent descriptions of evolution of density matrices for a subsystem caused by unitary Hamiltonian evolution in a larger system; an affine map ...
E. B. Davies +5 more
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Pinchings and positive linear maps
Journal of Functional Analysis, 2016 We employ the pinching theorem, ensuring that some operators A admit any sequence of contractions as an operator diagonal of A, to deduce/improve two recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional expectations onto a masa in the algebra of operators on a Hilbert space. We also get a few results for sums in a unitary orbit.
Bourin, Jean-Christophe, Lee, Eun-Young
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New Journal of Physics, 2022 We investigate the dynamics of open quantum systems which are initially correlated with their environment. The strategy of our approach is to analyze how given, fixed initial correlations modify the evolution of the open system with respect to the ...
Alessandra Colla +2 more
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Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?
Atmosphere, 2023 In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect.
Yoshitaka Saiki, James A. Yorke
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Extreme n-positive linear maps [PDF]
Proceedings of the Edinburgh Mathematical Society, 1993 In this article we prove that if a completely positive linear map Φ of a unital C*-algebra A into another B with only finite dimensional irreducible representations is pure, then we have NΦ = Φker + kerΦ, where NΦ={x∈A|Φ(x) = 0}, Φker = {x∈A|Φ(x*x) = 0}, and kerΦ={x∈A|Φ(xx*) = 0}.
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Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
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