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Operational Constraints in Quantum Otto Engines: Energy-Gap Modulation and Majorization [PDF]

open access: yesEntropy
The performance of a quantum Otto engine is analyzed with regard to the constraints on the modulation of energy gaps relative to the changes in probability distributions at the two given heat reservoirs.
Sachin Sonkar, Ramandeep S. Johal
doaj   +2 more sources

Optimal Complexity of Parameterized Quantum Circuits [PDF]

open access: yesEntropy
Parameterized quantum circuits are central to the development of variational quantum algorithms in the NISQ era. A key feature of these circuits is their ability to generate an expressive set of quantum states, enabling the approximation of solutions to ...
Guilherme I. Correr   +3 more
doaj   +2 more sources

Mixed-Up-Ness or Entropy? [PDF]

open access: yesEntropy, 2022
Mixed-up-ness can be traced to unpublished notes by Josiah Gibbs. Subsequently, the concept was developed independently, and under somewhat different names, by other investigators. The central idea of mixed-up-ness is that systems states can be organized
W. Seitz, A. D. Kirwan
doaj   +2 more sources

Continuous majorization in quantum phase space [PDF]

open access: yesQuantum, 2023
We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to quantum states with positive Wigner functions and show that the continuous version of majorization theory provides an elegant and very natural ...
Zacharie Van Herstraeten   +2 more
doaj   +1 more source

Majorization results for non vanishing analytic functions in different domains

open access: yesAIMS Mathematics, 2022
In recent years, many authors have studied and investigated majorization results for different subclasses of analytic functions. In this paper, we give some majorization results for certain non vanishing analytic functions, whose ratios are subordinated ...
Huo Tang   +4 more
doaj   +1 more source

Derivation of Bounds for Majorization Differences by a Novel Method and Its Applications in Information Theory

open access: yesAxioms, 2023
In the recent era of research developments, mathematical inequalities and their applications perform a very consequential role in different aspects, and they provide an engaging area for research activities.
Abdul Basir   +5 more
doaj   +1 more source

Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy

open access: yesJournal of Inequalities and Applications, 2020
This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017).
Nouman Siddique   +3 more
doaj   +1 more source

Some Results on Majorization of Matrices

open access: yesAxioms, 2022
For two n×m real matrices X and Y, X is said to be majorized by Y, written as X≺Y if X=SY for some doubly stochastic matrix of order n. Matrix majorization has several applications in statistics, wireless communications and other fields of science and ...
Divya K. Udayan   +1 more
doaj   +1 more source

Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy

open access: yesAdvances in Difference Equations, 2020
In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized majorization theorem
Nouman Siddique   +3 more
doaj   +1 more source

Strong majorization uncertainty relations and experimental verifications

open access: yesnpj Quantum Information, 2023
In spite of enormous theoretical and experimental progress in quantum uncertainty relations, the experimental investigation of the most current, and universal formalism of uncertainty relations, namely majorization uncertainty relations (MURs), has not ...
Yuan Yuan   +7 more
doaj   +1 more source

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