Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-022-04984-4
Abstract: Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of general quantum correlation. By using the Hamming weight, we derive new… read more here.
Keywords: general quantum; quantum correlations; monogamy polygamy; polygamy relations ... See more keywords
Holevo-type bounds for general quantum system
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DOI: 10.1016/s0034-4877(18)30006-5
Abstract: We consider an arbitrary von Neumann algebra with a finite trace as mathematical setup for a general quantum system. Three measures of dependence of states on measurements are presented. We indicate estimates of the mutual… read more here.
Keywords: quantum system; type bounds; holevo type; general quantum ... See more keywords
A β-Sturm–Liouville problem associated with the general quantum operator
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2021.1928658
Abstract: Let be an interval and a strictly increasing and continuous function with a unique fixed point that satisfies for all , where the equality holds only when . The general quantum operator defined by Hamza… read more here.
Keywords: sturm liouville; quantum operator; problem associated; operator ... See more keywords
Quantum rebound capacity
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DOI: 10.1103/physreva.100.030302
Abstract: Inspired by the power of abstraction in information theory, we consider quantum rebound protocols as a way of providing a unifying perspective to deal with several information-processing tasks related to and extending quantum channel discrimination… read more here.
Keywords: quantum; quantum rebound; rebound capacity; sequence ... See more keywords
General quantum variational calculus
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DOI: 10.19139/soic.v6i1.467
Abstract: We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where the Lagrangian may depend on… read more here.
Keywords: variational calculus; quantum variational; general quantum;
The Directional Derivative in General Quantum Calculus
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DOI: 10.3390/sym14091766
Abstract: In this paper, we define the β-partial derivative as well as the β-directional derivative of a multi-variable function based on the β-difference operator, Dβ, which is defined by Dβf(t)=f(β(t))−f(t)/β(t)−t, where β is a strictly increasing… read more here.
Keywords: general quantum; function; quantum calculus; derivative general ... See more keywords