Results 1 to 10 of about 1,504,261 (185)
The Generalized Inequalities via Means and Positive Linear Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we establish further improvements of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
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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
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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
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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
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The Non-m-Positive Dimension of a Positive Linear Map [PDF]
Quantum, 2019 We introduce a property of a matrix-valued linear map $\Phi$ that we call its ``non-m-positive dimension'' (or ``non-mP dimension'' for short), which measures how large a subspace can be if every quantum state supported on the subspace is non-positive ...
Nathaniel Johnston +2 more
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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
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Further refinements of reversed AM–GM operator inequalities
Journal of Inequalities and Applications, 2020 In this paper, we shall give further improvements of reversed AM–GM operator inequalities due to Yang et al. (Math. Slovaca 69:919–930, 2019) for matrices and positive linear map.
Yonghui Ren, Pengtong Li
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Tracial Positive Linear Maps of C ∗ -Algebras [PDF]
Proceedings of the American Mathematical Society, 1983 A positive linear map Φ : A → B \Phi :\mathfrak {A} \to \mathfrak {B} between two C ∗ {C^ * } -algebras is said to be tracial if Φ ( A 1
Choi, Man-Duen, Tsui, Sze-Kai
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Non-linear monotone positive maps
Journal of Operator Theory, 2021 e study several classes of general non-linear positive maps between C∗-algebras, which are not necessary completely positive maps. We characterize the class of the compositions of ∗-multiplicative maps and positive linear maps as the class of non-linear maps of boundedly positive type abstractly.
Nagisa, Masaru, Watatani, Yasuo
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The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra
Mathematics, 2021 Let H be a finite Hopf C*-algebra and A a C*-algebra of finite dimension. In this paper, we focus on the crossed product A⋊H arising from the action of H on A, which is a ∗-algebra.
Xiaomin Wei, Lining Jiang, Dianlu Tian
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