It is widely believed that Shor＇s factoring algorithm provides a driving force to boost the quantum computing research.However, a serious obstacle to its binary implementation is the large number of quantum gates. No...It is widely believed that Shor＇s factoring algorithm provides a driving force to boost the quantum computing research.However, a serious obstacle to its binary implementation is the large number of quantum gates. Non-binary quantum computing is an efficient way to reduce the required number of elemental gates. Here, we propose optimization schemes for Shor＇s algorithm implementation and take a ternary version for factorizing 21 as an example. The optimized factorization is achieved by a two-qutrit quantum circuit, which consists of only two single qutrit gates and one ternary controlled-NOT gate. This two-qutrit quantum circuit is then encoded into the nine lower vibrational states of an ion trapped in a weakly anharmonic potential. Optimal control theory（OCT） is employed to derive the manipulation electric field for transferring the encoded states. The ternary Shor＇s algorithm can be implemented in one single step. Numerical simulation results show that the accuracy of the state transformations is about 0.9919.展开更多
针对爆破振动信号具有非线性、随机性较强的特点,提出利用局部波分解(Local Mean Decomposition,LMD)处理并分析爆破振动信号。结合露天铁矿逐孔起爆方式下爆破振动测试信号分析,研究信号的时频及能量分布特征。结果表明:LMD方法能完整...针对爆破振动信号具有非线性、随机性较强的特点,提出利用局部波分解(Local Mean Decomposition,LMD)处理并分析爆破振动信号。结合露天铁矿逐孔起爆方式下爆破振动测试信号分析,研究信号的时频及能量分布特征。结果表明:LMD方法能完整地分解重构爆破信号,有效减少模态混叠现象,更加真实反映信号的原始信息;相比经验模态分解方法(Empirical Mode Decomposition,EMD)、LMID方法的端点效应轻微,具有较高的解凋精度;LMID方法可以精确分析振动能量的分布规律,有利于进一步识别爆破本身的力学作用特征。展开更多
基金supported by the National Natural Science Foundation of China(Grant No.61205108)the High Performance Computing(HPC)Foundation of National University of Defense Technology,China
文摘It is widely believed that Shor＇s factoring algorithm provides a driving force to boost the quantum computing research.However, a serious obstacle to its binary implementation is the large number of quantum gates. Non-binary quantum computing is an efficient way to reduce the required number of elemental gates. Here, we propose optimization schemes for Shor＇s algorithm implementation and take a ternary version for factorizing 21 as an example. The optimized factorization is achieved by a two-qutrit quantum circuit, which consists of only two single qutrit gates and one ternary controlled-NOT gate. This two-qutrit quantum circuit is then encoded into the nine lower vibrational states of an ion trapped in a weakly anharmonic potential. Optimal control theory（OCT） is employed to derive the manipulation electric field for transferring the encoded states. The ternary Shor＇s algorithm can be implemented in one single step. Numerical simulation results show that the accuracy of the state transformations is about 0.9919.
文摘针对爆破振动信号具有非线性、随机性较强的特点,提出利用局部波分解(Local Mean Decomposition,LMD)处理并分析爆破振动信号。结合露天铁矿逐孔起爆方式下爆破振动测试信号分析,研究信号的时频及能量分布特征。结果表明:LMD方法能完整地分解重构爆破信号,有效减少模态混叠现象,更加真实反映信号的原始信息;相比经验模态分解方法(Empirical Mode Decomposition,EMD)、LMID方法的端点效应轻微,具有较高的解凋精度;LMID方法可以精确分析振动能量的分布规律,有利于进一步识别爆破本身的力学作用特征。
