强耦合振子可用于微弱脉冲信号的检测和波形恢复,但其对微弱脉冲信号的检测频率会受到系统内置频率的限制.在系统内置频率固定的情况下,系统只能对一定频率范围内的脉冲信号进行有效检测和波形恢复,在检测更高频率的脉冲信号时会出现波...强耦合振子可用于微弱脉冲信号的检测和波形恢复,但其对微弱脉冲信号的检测频率会受到系统内置频率的限制.在系统内置频率固定的情况下,系统只能对一定频率范围内的脉冲信号进行有效检测和波形恢复,在检测更高频率的脉冲信号时会出现波形失真.本文分析了耦合振子内置频率和微弱脉冲信号检测频率之间的关系,提出两种改进强耦合振子结构以扩展微弱脉冲信号的频率检测范围.通过引入非线性恢复力耦合项,非线性恢复力强耦合振子可以有效保留信号的高频分量,在更高频率的脉冲信号输入时也能较好地保留信号特征.双振子强耦合系统通过引入Van der Pol-Duffing振子,加强了系统内部结构的稳定性,同样达到了扩展脉冲信号频率检测范围的效果.此外,基于变迭代步长和混沌检测的频率相关性,提出了一个未知频率脉冲信号检测方法,以改变迭代步长的方法代替改变系统内置频率来进行频率扫描,并且利用混沌检测的频率相关性,将接收信号和恢复信号的相关系数和纯噪声输入情况下的相关系数进行对比,根据两个相关系数之间的明显差异可以有效检测出脉冲信号.通过仿真实验进行验证,所提方法可以有效检测出未知频率的脉冲信号,并且所提的改进强耦合振子结构相对于强耦合振子有较大的性能提升.展开更多
The ideal reaction chromatography model can be regarded as a semi-coupled system of two hyperbolic partial differential equations, in which, one is a self-closed nonlinear equation for the reactant concentration and a...The ideal reaction chromatography model can be regarded as a semi-coupled system of two hyperbolic partial differential equations, in which, one is a self-closed nonlinear equation for the reactant concentration and another is a linear equation coupling the reactant concentration for the resultant concentration. This paper is concerned with the initial-boundary value problem for the above model. By the characteristic method and the truncation method, we construct the global weak entropy solution of this initial initial-boundary value problem for Riemann type of initial-boundary data. Moreover, as examples, we apply the obtained results to the cases of head-on and wide pulse injections and give the expression of the global weak entropy solution.展开更多
The quantum private query(QPQ)is a quantum solution for the symmetrically private information retrieval problem.We study the security of quantum-key-distribution-based QPQ with weak coherent pulses.The result shows th...The quantum private query(QPQ)is a quantum solution for the symmetrically private information retrieval problem.We study the security of quantum-key-distribution-based QPQ with weak coherent pulses.The result shows that multiphoton pulses have posed a serious threat to the participant’s privacy in QPQ protocols.Then we propose a decoy-state method that can help the honest participant detect the attack by exploiting multiphoton pulses and improving the key distillation process to defend against such attack.The analysis demonstrates that our decoy-state method significantly improves the security of the QPQ with weak coherent pulses,which solves a major obstacle in the practical application of the QPQ.展开更多
We generalize the Wu-Yang strong-coupling theory to solve analytically periodically driven two-level systems in the weak-coupling and low-frequency regimes for single- and multi-period periodic driving of continuous-w...We generalize the Wu-Yang strong-coupling theory to solve analytically periodically driven two-level systems in the weak-coupling and low-frequency regimes for single- and multi-period periodic driving of continuous-wave-type and pulse-type including ultrashort pulses of a few cycles.We also derive a general formula of the AC Stark shift suitable for such diverse situations.展开更多
文摘强耦合振子可用于微弱脉冲信号的检测和波形恢复,但其对微弱脉冲信号的检测频率会受到系统内置频率的限制.在系统内置频率固定的情况下,系统只能对一定频率范围内的脉冲信号进行有效检测和波形恢复,在检测更高频率的脉冲信号时会出现波形失真.本文分析了耦合振子内置频率和微弱脉冲信号检测频率之间的关系,提出两种改进强耦合振子结构以扩展微弱脉冲信号的频率检测范围.通过引入非线性恢复力耦合项,非线性恢复力强耦合振子可以有效保留信号的高频分量,在更高频率的脉冲信号输入时也能较好地保留信号特征.双振子强耦合系统通过引入Van der Pol-Duffing振子,加强了系统内部结构的稳定性,同样达到了扩展脉冲信号频率检测范围的效果.此外,基于变迭代步长和混沌检测的频率相关性,提出了一个未知频率脉冲信号检测方法,以改变迭代步长的方法代替改变系统内置频率来进行频率扫描,并且利用混沌检测的频率相关性,将接收信号和恢复信号的相关系数和纯噪声输入情况下的相关系数进行对比,根据两个相关系数之间的明显差异可以有效检测出脉冲信号.通过仿真实验进行验证,所提方法可以有效检测出未知频率的脉冲信号,并且所提的改进强耦合振子结构相对于强耦合振子有较大的性能提升.
基金supported by the State Key Program of National Natural Science Foundation of China(Grants No.11731008)the National Natural Science Foundation of China(Grants No.10771087)。
文摘The ideal reaction chromatography model can be regarded as a semi-coupled system of two hyperbolic partial differential equations, in which, one is a self-closed nonlinear equation for the reactant concentration and another is a linear equation coupling the reactant concentration for the resultant concentration. This paper is concerned with the initial-boundary value problem for the above model. By the characteristic method and the truncation method, we construct the global weak entropy solution of this initial initial-boundary value problem for Riemann type of initial-boundary data. Moreover, as examples, we apply the obtained results to the cases of head-on and wide pulse injections and give the expression of the global weak entropy solution.
基金supported by the National Natural Science Foundation of China(Grant Nos.62171418,U19A2076,61901425,and 61702061)Natural Science Foundation of Chongqing(Grant No.cstc2020jcyjmsxm X0719)+2 种基金National Science Key Lab Fund Project(Grant No.6142103200105)Fundamental Research Funds for the Central Universities(Grant Nos.2020CDJQY-A018,and 2020CDJ-LHZZ-056)Sichuan Science and Technology Program(Grant No.019JDJQ0060)。
文摘The quantum private query(QPQ)is a quantum solution for the symmetrically private information retrieval problem.We study the security of quantum-key-distribution-based QPQ with weak coherent pulses.The result shows that multiphoton pulses have posed a serious threat to the participant’s privacy in QPQ protocols.Then we propose a decoy-state method that can help the honest participant detect the attack by exploiting multiphoton pulses and improving the key distillation process to defend against such attack.The analysis demonstrates that our decoy-state method significantly improves the security of the QPQ with weak coherent pulses,which solves a major obstacle in the practical application of the QPQ.
基金supported by the Natural Science Foundation of Jiangxi Province under Grant Nos.0612006 and 2007GZW0819the Scientific Research Foundation of the Education Department of Jiangxi Province under Grant No.[2007]191Funds from East China Jiaotong University
文摘We generalize the Wu-Yang strong-coupling theory to solve analytically periodically driven two-level systems in the weak-coupling and low-frequency regimes for single- and multi-period periodic driving of continuous-wave-type and pulse-type including ultrashort pulses of a few cycles.We also derive a general formula of the AC Stark shift suitable for such diverse situations.
