Results 21 to 30 of about 13,378 (267)
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
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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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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
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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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Quantum Heat Engines with Complex Working Media, Complete Otto Cycles and Heuristics
Entropy, 2021 Quantum thermal machines make use of non-classical thermodynamic resources, one of which include interactions between elements of the quantum working medium.
Ramandeep S. Johal, Venu Mehta
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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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Entropic measures of joint uncertainty: effects of lack of majorization [PDF]
, 2015 We compute R\'enyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used.
Bosyk, Gustavo Martín +2 more
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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
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On Majorization Uncertainty Relations in the Presence of a Minimal Length
Physics, 2022 The emergence of a minimal length at the Planck scale is consistent with modern developments in quantum gravity. This is taken into account by transforming the Heisenberg uncertainty principle into the generalized uncertainty principle.
Alexey E. Rastegin
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On an upper bound for Sherman’s inequality
Journal of Inequalities and Applications, 2016 Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim of this paper is to extend Sherman’s inequality to convex functions of higher order.
Slavica Ivelić Bradanović +2 more
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