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 ...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.展开更多
Entanglement,quantum steering and Bell nonlocality can be used to describe the distinct quantum correlations of quantum systems.Because of their different characteristics and application fields,how to divide them quan...Entanglement,quantum steering and Bell nonlocality can be used to describe the distinct quantum correlations of quantum systems.Because of their different characteristics and application fields,how to divide them quantitatively and accurately becomes particularly important.Based on the sufficient and necessary criterion for quantum steering of an arbitrary two-qubit T-state,we derive the inequality relations between quantum steering and entanglement as well as between quantum steering and Bell nonlocality for the T-state.Additionally,we have verified those relations experimentally.展开更多
In this work,we study the entropic uncertainty and quantum discord in two double-quantum-dot(DQD)system coupled via a transmission line resonator(TLR).Explicitly,the dynamics of the systemic quantum correlation and me...In this work,we study the entropic uncertainty and quantum discord in two double-quantum-dot(DQD)system coupled via a transmission line resonator(TLR).Explicitly,the dynamics of the systemic quantum correlation and measured uncertainty are analysed with respect to a general Xtype state as the initial state.Interestingly,it is found that the different parameters,including the eigenvalueαof the coherent state,detuning amountδ,frequencyωand the coupling constant g,have subtle effects on the dynamics of the entropic uncertainty,such as the oscillation period of the uncertainty.It is clear to reveal that the quantum discord and the lower bound of the entropic uncertainty are anti-correlated when the initial state of the system is the Werner-type state,while quantum discord and the lower bound of the entropic uncertainty are not anti-correlated when the initial state of the system is the Bell-diagonal state.Thereby,we claim that the current investigation would provide an insight into the entropic uncertainty and quantum correlation in DQDs system,and are basically of importance to quantum precision measurement in practical quantum information processing.展开更多
基金supported by the National Science Foundation of China (Grant Nos.12175001 and 12075001)the Natural Science Foundation of Education Department of Anhui Province,China (Grant No.KJ2016SD49)。
文摘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.
基金the National Natural Science Foundation of China(Grant Nos.12175001 and 12075001).
文摘Entanglement,quantum steering and Bell nonlocality can be used to describe the distinct quantum correlations of quantum systems.Because of their different characteristics and application fields,how to divide them quantitatively and accurately becomes particularly important.Based on the sufficient and necessary criterion for quantum steering of an arbitrary two-qubit T-state,we derive the inequality relations between quantum steering and entanglement as well as between quantum steering and Bell nonlocality for the T-state.Additionally,we have verified those relations experimentally.
基金supported by the National Natural Science Foundation of China under Grant Nos.12075001,61601002 and 12175001,Anhui Provincial Key Research and Development Plan(Grant No.2022b13020004)Anhui Provincial Natural Science Foundation(Grant No.1508085QF139)+1 种基金University Innovation Fund of the Ministry of Education(Grant No.2021BCA02003)the fund from CAS Key Laboratory of Quantum Information(Grant No.KQI201701).
文摘In this work,we study the entropic uncertainty and quantum discord in two double-quantum-dot(DQD)system coupled via a transmission line resonator(TLR).Explicitly,the dynamics of the systemic quantum correlation and measured uncertainty are analysed with respect to a general Xtype state as the initial state.Interestingly,it is found that the different parameters,including the eigenvalueαof the coherent state,detuning amountδ,frequencyωand the coupling constant g,have subtle effects on the dynamics of the entropic uncertainty,such as the oscillation period of the uncertainty.It is clear to reveal that the quantum discord and the lower bound of the entropic uncertainty are anti-correlated when the initial state of the system is the Werner-type state,while quantum discord and the lower bound of the entropic uncertainty are not anti-correlated when the initial state of the system is the Bell-diagonal state.Thereby,we claim that the current investigation would provide an insight into the entropic uncertainty and quantum correlation in DQDs system,and are basically of importance to quantum precision measurement in practical quantum information processing.
