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Visualizing and witnessing first-order coherence,Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

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中国物理B:英文版 2023年第10期32卷 210-218页

作者：杨欢邢玲玲杜明明孔敏张刚叶柳 School of Electrical and Photoelectronic Engineering West Anhui UniversityLu'an 237012China College of Electronic and Optical Engineering Nanjing University of Posts and TelecommunicationsNanjing 210003China School of Physics and Optoelectronic Engineering Anhui UniversityHefei 230039China

A quantum steering ellipsoid(QSE)is a visual characterization for bipartite qubit systems,and it is also a novel avenue for describing and detecting quantum ***,by using a QSE,we visualize and witness the first-order coherence(FOC),Bell nonlocality(BN)and purity under non-inertial ***,the collective influences of the depolarizing channel and the non-coherence-generating channel(NCGC)on the FOC,BN and purity are investigated in the QSE *** results reveal that the distance from the center of the QSE to the center of the Bloch sphere visualizes the FOC of a bipartite system,the lengths of the QSE semiaxis visualize the BN,and the QSE's shape and position dominate the purity of the *** can capture the FOC,BN and purity via the shape and position of the QSE in the non-inertial *** depolarizing channel(the NCGC)gives rise to the shrinking and degradation(the periodical oscillation)of the *** can use these traits to visually characterize and detect the FOC,BN and purity under the influence of external *** particular note is that the condition for the QSE to achieve the center of the Bloch sphere cannot be influenced by the depolarizing channel and the *** characterization shows that the conditions for the disappearance of the FOC are invariant under the additional influences of the depolarizing channel and NCGC.

关键词： quantum steering ellipsoid first-order coherence Bell-nonlocality purity

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coherence migration in high-dimensional bipartite systems

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Chinese Physics B 2022年第6期31卷 228-234页

作者：丁智勇周攀峰范小刚刘程程何娟叶柳 School of Physics and Electronic Engineering Fuyang Normal UniversityFuyang 236037China Key Laboratory of Functional Materials and Devices for Informatics of Anhui Educational Institutions Fuyang Normal UniversityFuyang 236037China School of Physics and Optoelectronics Engineering Anhui UniversityHefei 230039China

The conservation law for first-order coherence and mutual correlation of a bipartite qubit state was firstly proposed by Svozil′?k et al.,and their theories laid the foundation for the study of coherence migration under unitary *** this paper,we generalize the framework of first-order coherence and mutual correlation to an arbitrary(m■n)-dimensional bipartite composite state by introducing an extended Bloch decomposition form of the *** also generalize two kinds of unitary operators in high-dimensional systems,which can bring about coherence migration and help to obtain the maximum or minimum first-order ***,the coherence migration in open quantum systems is *** take depolarizing channels as examples and establish that the reduced first-order coherence of the principal system over time is completely transformed into mutual correlation of the(2■4)-dimensional system-environment bipartite composite *** is expected that our results may provide a valuable idea or method for controlling the quantum resource such as coherence and quantum correlations.

关键词： first-order coherence mutual correlation coherence migration high-dimensional

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Transformation relation between coherence and entanglement for two-qubit states

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Chinese Physics B 2023年第1期32卷 178-182页

作者：周晴云范小刚赵发王栋叶柳 School of Physics&Optoelectronics Engineering Anhui UniversityHefei 230601China

Entanglement and coherence are two important resources in quantum information theory. A question naturally arises:Is there some connection between them? We prove that the entanglement of formation and the first-order coherence of twoqubit states satisfy an inequality relation. Two-qubit pure state reaches the upper bound of this inequality. A large number of randomly generated states are used to intuitively verify the complementarity between the entanglement of formation and the first-order coherence. We give the maximum accessible coherence of two-qubit states. Our research results will provide a reliable theoretical basis for conversion of the two quantum resources.

关键词： entanglement coherence first-order coherence entanglement of formation

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