Results 21 to 30 of about 1,333,113 (282)
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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Some reverse mean inequalities for operators and matrices
Journal of Inequalities and Applications, 2019 In this paper, we present some new reverse arithmetic–geometric mean inequalities for operators and matrices due to Lin (Stud. Math. 215:187–194, 2013).
Chaojun Yang, Yaxin Gao, Fangyan Lu
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Complete positivity of mapping valued linear maps
Mathematische Zeitschrift, 1988 We consider the matrix order structure of ordered Banach space. This notion is an extended version of the order structure of a \(C^ *\)- algebra or a predual of von Neumann algebra induced by the cone of its positive elements. Corresponding to the case that the associated algebra is abelian, we introduce the notion, a matrix ordered Banach space of ...
Itoh, Takashi, Nagisa, Masaru
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International Journal of Geo-Engineering, 2021 In the sense of challenging economic situation, it is difficult to perform laboratory tests in a whole intended area to define the soil characteristics for whatever task or situation within an entire city.
Aram Mohammed Raheem, Najat Qader Omar
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Fixed Point Theory and Applications, 2010 This paper is devoted to the investigation of the existence of fixed points in a normed linear space X endowed with a norm ‖⋅‖ for self-maps f from T×X to X which are constructed from a given class of so-called primary self ...
M. De la Sen
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On the Debate Concerning the Proper Characterisation of Quantum Dynamical Evolution [PDF]
, 2012 There has been a long-standing and sometimes passionate debate between physicists over whether a dynamical framework for quantum systems should incorporate not completely positive (NCP) maps in addition to completely positive (CP) maps.
Cuffaro, Michael E., Myrvold, Wayne C.
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On Pompeiu-Cebysev type inequalities for positive linear maps of selfadjoint operators in inner product spaces [PDF]
, 2018 In this work, generalizations of some inequalities for continuous $h$-synchronous ($h$-asynchronous) functions of linear bounded selfadjoint operators under positive linear maps in Hilbert spaces are proved.Comment: 12 pages.
Alomari, Mohammad W.
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Non-linear positive maps between C*-algebras [PDF]
Linear and Multilinear Algebra, 2018 We present some properties of (not necessarily linear) positive maps between $C^*$-algebras. We first extend the notion of Lieb functions to that of Lieb positive maps between $C^*$-algebras. Then we give some basic properties and fundamental inequalities related to such maps. Next, we study $n$-positive maps ($n\geq 2$).
Ali Dadkhah, Mohammad Sal Moslehian
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Reverses of Ando’s and Hölder–McCarty’s inequalities
Journal of Inequalities and Applications, 2018 In this paper, we give some reverse-types of Ando’s and Hölder–McCarthy’s inequalities for positive linear maps, and positive invertible operators. For this purpose, we use a recently improved Young inequality and its reverse.
Monire Hajmohamadi +2 more
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Subnormalized states and trace-nonincreasing maps [PDF]
, 2007 We investigate the set of completely positive, trace-nonincreasing linear maps acting on the set M_N of mixed quantum states of size N. Extremal point of this set of maps are characterized and its volume with respect to the Hilbert-Schmidt (Euclidean ...
Hans-Jürgen Sommers +5 more
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