Results 21 to 30 of about 811,433 (325)
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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On the further refinement of some operator inequalities for positive linear map
Journal of Mathematical Inequalities, 2021 . In this paper, some further improvements of operator inequalities are given at the base of Yang et al.’s recent work [Filomat 32:12 (2018), 4333–4340] and [Math. Slovaca 69 (2019), 919–930] for positive linear map.
Changsen Yang, Yu Li
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Positive linear maps on C⁎-algebras and rigid functions
Journal of Mathematical Analysis and Applications, 2017 Mitsuru Uchiyama
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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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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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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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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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