Results 21 to 30 of about 9,403 (286)
Fundamental limitations for quantum and nano thermodynamics [PDF]
, 2013 The relationship between thermodynamics and statistical physics is valid in the thermodynamic limit - when the number of particles becomes very large. Here, we study thermodynamics in the opposite regime - at both the nano scale, and when quantum effects
AE Allahverdyan +32 more
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Optimal common resource in majorization-based resource theories
New Journal of Physics, 2019 We address the problem of finding the optimal common resource for an arbitrary family of target states in quantum resource theories based on majorization, that is, theories whose conversion law between resources is determined by a majorization ...
G M Bosyk +4 more
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Shannon Type Inequalities for Kapur’s Entropy
Mathematics, 2018 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.
Bo-Yan Xi +4 more
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An algorithm for constructing integral row stochastic matrices [PDF]
Journal of Mahani Mathematical Research, 2022 Let $\textbf{M}_{n}$ be the set of all $n$-by-$n$ real matrices, and let $\mathbb{R}^{n}$ be the set of all $n$-by-$1$ real (column) vectors. An $n$-by-$n$ matrix $R=[r_{ij}]$ with nonnegative entries is called row stochastic, if $\sum_{k=1}^{n} r_ ...
Asma Ilkhanizadeh Manesh
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Multiplicative Lidskii's inequalities and optimal perturbations of frames [PDF]
, 2014 In this paper we study two design problems in frame theory: on the one hand, given a fixed finite frame $\cF$ for $\hil\cong\C^d$ we compute those dual frames $\cG$ of $\cF$ that are optimal perturbations of the canonical dual frame for $\cF$ under ...
Massey, Pedro G. +2 more
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Majorization theorems for strongly convex functions
Journal of Inequalities and Applications, 2019 In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and generalization of the earlier results.
Syed Zaheer Ullah +2 more
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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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Toward major evolutionary transitions theory 2.0 [PDF]
Proceedings of the National Academy of Sciences, 2015 The impressive body of work on the major evolutionary transitions in the last 20 y calls for a reconstruction of the theory although a 2D account (evolution of informational systems and transitions in individuality) remains. Significant advances include the concept of fraternal and egalitarian transitions (lower-level units like and unlike ...
openaire +3 more sources
Refinements of Jensen's inequality and applications
AIMS Mathematics, 2022 The principal aim of this research work is to establish refinements of the integral Jensen's inequality. For the intended refinements, we mainly use the notion of convexity and the concept of majorization.
Tareq Saeed +2 more
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Quantum Operations, State Transformations and Probabilities [PDF]
, 2001 In quantum operations, probabilities characterise both the degree of the success of a state transformation and, as density operator eigenvalues, the degree of mixedness of the final state. We give a unified treatment of pure-to-pure state transformations,
Chefles, Anthony
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