Majorization relation
Webmajorization relation, little is known about power majorization. Indeed, it is in general di cult to determine whether one vector is power majorized by another. Our investigation in this paper stems from the following example. 2010 Mathematics Subject Classi cation. 26B10, 26C25. Key words and phrases. power majorization, majorization ... Web1 jan. 2001 · Majorization is a powerful, easy-to-use and flexible tool which arises frequently in quantum mechanics as a consequence of fundamental connections between unitarity and the majorization relation. Entanglement theory …
Majorization relation
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WebWe study degree sequences for simplicial posets and polyhedral complexes, generalizing the well-studied graphical degree sequences. Here we extend the more common generalization of vertex-to-facet degree sequences by c… WebThe majorization criterion will be restricted to strictly L-superadditive21, which is equivalent to the second partial derivative of the inequality index with respect to attributes to be positive – a similar condition already mentioned in Atkinson and Bourguignon (1982) though stated in terms of the utility function, hence with opposite sign.
Web1 mrt. 1994 · In matrix theory, majorization plays a significant role. For instance, majorization relations among eigenvalues and singular values of matrices produce a lot of norm inequalities and even matrix inequalities. This survey article is intended as a review of recent results in matrix theory related to majorization.
Web(1) as far the nature of ma jorization relation is concerned. In an y case, w e will shortly discuss their equiv alence. An y t w o v ectors x and suc h that # = are equiv alen from the poin of view ma jorization. W e can th us restrict our … WebThis relation supplies powerful tools for studying and solving Schrödinger, Dirac, Maxwell, Klein-Gordon and other equations with the aid of complex-analytic methods. The book is dedicated to these recent developments in pseudoanalytic function theory and their applications as well as to multidimensional generalizations.
Web10 sep. 2013 · The definition of marjorization is straightforward. For two vectors x = ( x 1, …, x n) and y = ( y 1, …, y n) with non-increasing terms, then x is said to majorize y if ∑ j = 1 k x j ≥ ∑ j = 1 k y j ( k = 1, 2, …, n). As an example, ( 3, 2, 1) is majorized by ( 4, 2, 1) since 4 > 3, 4 + 2 > 3 + 2 and 4 + 2 + 1 > 3 + 2 + 1.
Web31 mrt. 2024 · The concept of majorization is explored as a tool to characterize the performance of a quantum Otto engine in the quasistatic regime. For a working … fulton county da willisWebAbstract: In the paper, by methods of the theory of majorization, the authors establish the Schur m-convexity and Shannon type inequalities for Kapur’s entropy. Keywords: Kapur’s entropy; Shannon type inequality; Schur m-convexity; majorization MSC: 26A51; 26D15; 26E60; 94A17 1. Introduction and Main Results fulton county dbeWebThe catalytic majorization relation can be used to find which transformations of jointly held pure quantum states are possible via local operations and classical communication (LOCC); particularly when an additional jointly held state is optionally specified to facilitate the transformation without being consumed. [4] gip nordhornWeb2. Majorization relation for finite sequences and Karamata’s inequality Let us introduce a majorization relation for finite sequences of real numbers. Definition 1. Let a =(a1,a2,...,a n)andb =(b1,b2,...,b n) be two (finite) sequences of real numbers. We say that the sequence a majorizes the sequence b and we write a b or b ≺ a, fulton county da office jobsWeb7 apr. 2024 · The uncertainty relation lies at the heart of quantum theory and behaves as a non-classical constraint on the indeterminacies of incompatible observables in a system. … gip new yorkWeb3, since majorization does not care about the order. Pick some distribution xwith x 1 6=x 2 6=x 3 and draw the set of distributions which xmajorizes, the set of distributions majorized by x, and the set of distributions with which xdoes not participate in a majorization relation (‘not comparable to x’). 3. Majorization and catalytic ... fulton county dbhddWebBesides uncertainty relations, the concept of majorization is applied to various topics, such as quantum thermodynamics [31] and coherence [32]. The majorization-based UR was … fulton county dbhdd - housing