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 un...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 transformations.In 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 state.We 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 coherence.Meanwhile,the coherence migration in open quantum systems is investigated.We 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 state.It is expected that our results may provide a valuable idea or method for controlling the quantum resource such as coherence and quantum correlations.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11605028)Anhui Provincial Natural Science Foundation,China(Grant Nos.2108085MA18 and 2008085QA47)+2 种基金the Natural Science Research Project of Education Department of Anhui Province of China(Grant Nos.KJ2020A0527,KJ2021ZD0071 and KJ2021A0678)the Key Program of Excellent Youth Talent Project of the Education Department of Anhui Province of China(Grant No.gxyqZD2019042)the Research Center for Quantum Information Technology of Fuyang Normal University(Grant No.kytd201706)。
文摘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 transformations.In 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 state.We 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 coherence.Meanwhile,the coherence migration in open quantum systems is investigated.We 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 state.It is expected that our results may provide a valuable idea or method for controlling the quantum resource such as coherence and quantum correlations.
