Results 11 to 20 of about 9,403 (286)
Systematic Analysis of Majorization in Quantum Algorithms [PDF]
, 2002 Motivated by the need to uncover some underlying mathematical structure of optimal quantum computation, we carry out a systematic analysis of a wide variety of quantum algorithms from the majorization theory point of view.
Latorre, Jose I. +2 more
core +2 more sources
Operational axioms for diagonalizing states [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 In quantum theory every state can be diagonalized, i.e. decomposed as a convex combination of perfectly distinguishable pure states. This elementary structure plays an ubiquitous role in quantum mechanics, quantum information theory, and quantum ...
Giulio Chiribella, Carlo Maria Scandolo
doaj +1 more source
Majorization in Information Theory [PDF]
Journal of inequalities and special functions, 2017 In this paper, we give the generalized results for majorization inequality in integral form by using Csisz ́ar f -divergence. We show how the Shannon entropy is connected to the theory of majorization. We also give Shannon entropy and the Kullback-Leibler divergence for obtained results.
Pečarić, Đilda, Pečarić, Josip
openaire +2 more sources
The Majorization Arrow in Quantum Algorithm Design [PDF]
, 2001 We apply majorization theory to study the quantum algorithms known so far and find that there is a majorization principle underlying the way they operate. Grover's algorithm is a neat instance of this principle where majorization works step by step until
A. Galindo +10 more
core +2 more sources
Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial
Journal of Inequalities and Applications, 2016 In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone’s ...
Ravi P Agarwal +2 more
doaj +1 more source
New Majorized Fractional Simpson Estimates
Axioms, 2023 Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding +4 more
doaj +1 more source
Majorization preservation of Gaussian bosonic channels
New Journal of Physics, 2016 It is shown that phase-insensitive Gaussian bosonic channels are majorization-preserving over the set of passive states of the harmonic oscillator. This means that comparable passive states under majorization are transformed into equally comparable ...
Michael G Jabbour +2 more
doaj +1 more source
Generalizations of Several Inequalities Related to Multivariate Geometric Means
Mathematics, 2019 In the paper, by some methods in the theory of majorization, the authors generalize several inequalities related to multivariate geometric means.
Bo-Yan Xi +3 more
doaj +1 more source
Sequences of resource monotones from modular Hamiltonian polynomials
Physical Review Research, 2023 We introduce two infinite sequences of entanglement monotones, which are constructed from expectation values of polynomials in the modular Hamiltonian.
Raúl Arias +4 more
doaj +1 more source
Estimations of divergence measures for majorization inequalities via Peano’s representation of Hermite’s polynomial [PDF]
Arab Journal of Mathematical SciencesPurposeIn this paper applications to information theory are presented. Generalized majorization theorem is presented in term of different entropies and divergences. So that obtained results are generalized and comprehensive.Design/methodology/approachThe
Awais Rasheed +3 more
doaj +1 more source