Results 1 to 10 of about 1,333,113 (282)
Pure Maps between Euclidean Jordan Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
Abraham Westerbaan +2 more
doaj +5 more sources
Pinchings and Positive linear maps
Journal of Functional Analysis, 2015 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 ...
Bourin, Jean-Christophe, Lee, Eun-Young
core +3 more sources
Asymptotic lifts of positive linear maps [PDF]
Pacific Journal of Mathematics, 2006 We show that the notion of asymptotic lift generalizes naturally to normal positive maps $\phi$ acting on von Neumann algebras M. We focus on cases in which the domain of the asymptotic lift can be embedded as an operator subsystem of M, and ...
Arveson, William, Stormer, Erling
core +6 more sources
More on linear and metric tree maps [PDF]
Opuscula Mathematica, 2021 We consider linear and metric self-maps on vertex sets of finite combinatorial trees. Linear maps are maps which preserve intervals between pairs of vertices whereas metric maps are maps which do not increase distances between pairs of vertices.
Sergiy Kozerenko
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Diagonal unitary and orthogonal symmetries in quantum theory [PDF]
Quantum, 2021 We analyze bipartite matrices and linear maps between matrix algebras, which are respectively, invariant and covariant, under the diagonal unitary and orthogonal groups' actions.
Satvik Singh, Ion Nechita
doaj +1 more source
Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps
Axioms, 2023 We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
doaj +1 more source
Exponential Inequalities for Positive Linear Mappings [PDF]
Journal of Function Spaces, 2018 In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application, we present extensions for operator-like geometric and harmonic means inequalities.
Mohammad Sababheh +2 more
openaire +4 more sources
Improvements of operator reverse AM-GM inequality involving positive linear maps
Journal of Inequalities and Applications, 2020 In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim +2 more
doaj +1 more source