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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   +3 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, Ilyas Ali, Muhammad Mushtaq   +2 more
doaj   +3 more sources

Some generalizations of operator inequalities for positive linear maps

Journal of Inequalities and Applications, 2016
In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
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Sector operator inequalities involving positive linear maps

Journal of Inequalities and Applications
In this note, we prove the pth power ( p ≥ 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively.
Jiqin Chen, Xiaohui Fu, Qi Song, Chuchu Tang   +3 more
doaj   +2 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

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, Bas Westerbaan, John van de Wetering   +2 more
doaj   +1 more source

Quantum Programs as Kleisli Maps [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
Furber and Jacobs have shown in their study of quantum computation that the category of commutative C*-algebras and PU-maps (positive linear maps which preserve the unit) is isomorphic to the Kleisli category of a comonad on the category of commutative C*
Abraham Westerbaan
doaj   +1 more source