Controlling Problem within a Class of Two-Level Positive Maps

Farrukh Mukhamedov; Izzat Qaralleh

doi:10.3390/sym14112280

Controlling Problem within a Class of Two-Level Positive Maps

Farrukh Mukhamedov, Izzat Qaralleh

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

This paper aims to define the set of unital positive maps on (Formula presented.) by means of quantum Lotka–Volterra operators which are quantum analogues of the classical Lotka–Volterra operators. Furthermore, a quantum control problem within the class of quantum Lotka–Volterra operators are studied. The proposed approach will lead to the understanding of the behavior of the classical Lotka–Volterra systems within a quantum framework.

Original language	English
Article number	2280
Journal	Symmetry
Volume	14
Issue number	11
DOIs	https://doi.org/10.3390/sym14112280
Publication status	Published - Nov 2022

Keywords

control
quantum Lotka-Volterra operator
quantum quadratic operator

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
Mathematics(all)
Physics and Astronomy (miscellaneous)

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10.3390/sym14112280

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abstract = "This paper aims to define the set of unital positive maps on (Formula presented.) by means of quantum Lotka–Volterra operators which are quantum analogues of the classical Lotka–Volterra operators. Furthermore, a quantum control problem within the class of quantum Lotka–Volterra operators are studied. The proposed approach will lead to the understanding of the behavior of the classical Lotka–Volterra systems within a quantum framework.",

keywords = "control, quantum Lotka-Volterra operator, quantum quadratic operator",

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AB - This paper aims to define the set of unital positive maps on (Formula presented.) by means of quantum Lotka–Volterra operators which are quantum analogues of the classical Lotka–Volterra operators. Furthermore, a quantum control problem within the class of quantum Lotka–Volterra operators are studied. The proposed approach will lead to the understanding of the behavior of the classical Lotka–Volterra systems within a quantum framework.

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Controlling Problem within a Class of Two-Level Positive Maps

Abstract

Keywords

ASJC Scopus subject areas

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