Quantum Search Algorithm Based on Multi-Phase

The success probability of the Grover quantum search algorithm decreases quickly when the fraction of target items exceeds 1/4, where the phase plays a significant role. Therefore, we use multiple phases to complement each other. We obtain three useful properties and an important theorem of the success probability and design a systematic solution of the optimal phases for an arbitrary number of phases. Based on these results, we finally propose a multi-phase quantum search algorithm whose success probability rises with the increase of the number of phases with just a single iteration, and it tends to be 100% when the fraction of target items is over a lower limit.     

金纳米粒子修饰的氨基硅胶整体柱的制备及超灵敏表面增强拉曼散射检测

采用溶胶-凝胶法结合超分子模板技术, 以四乙氧基硅烷(TEOS)和3-氨丙基三乙氧基硅烷(APTES)作为反应前体, 以十六烷基三甲基溴化铵(CTMAB)为超分子模板, 简单快速地制备了一种新型氨基硅胶整体柱, 通过氨基将金纳米粒子组装在整体柱材料孔表面并用于表面增强拉曼散射(SERS)光谱分析. 以对巯基苯胺(PATP)和结晶紫(CV)为拉曼探针, 考察了金纳米粒子修饰的氨基硅胶整体柱用作SERS活性基底的性能. 结果表明, 该整体柱基底具有良好的SERS增强效应, 可检测到的PATP和CV的最低浓度分别为10^-9和10^-11 mol/L. 与金溶胶SERS基底相比, 本文制备的整体柱基底的检测灵敏度显著提高, 并具有良好的信号均一性, 是一种具有现场痕量检测应用潜力的SERS活性基底.