Quantum algorithm for neighborhood preserving embedding

Neighborhood preserving embedding (NPE) is an important linear dimensionality reduction technique that aims at preserving the local manifold structure. NPE contains three steps, i.e., finding the nearest neighbors of each data point, constructing the weight matrix, and obtaining the transformation matrix. Liang et al. proposed a variational quantum algorithm (VQA) for NPE [Phys. Rev. A 101 032323 (2020)]. The algorithm consists of three quantum sub-algorithms, corresponding to the three steps of NPE, and was expected to have an exponential speedup on the dimensionality n. However, the algorithm has two disadvantages: (i) It is not known how to efficiently obtain the input of the third sub-algorithm from the output of the second one. (ii) Its complexity cannot be rigorously analyzed because the third sub-algorithm in it is a VQA. In this paper, we propose a complete quantum algorithm for NPE, in which we redesign the three sub-algorithms and give a rigorous complexity analysis. It is shown that our algorithm can achieve a polynomial speedup on the number of data points m and an exponential speedup on the dimensionality n under certain conditions over the classical NPE algorithm, and achieve a significant speedup compared to Liang et al.'s algorithm even without considering the complexity of the VQA.     

Valence Quark Ratio in the Proton

Beginning with precise data on the ratio of structure functions in deep inelastic scattering（DIS） from ³ He and ³ H, collected on the domain 0.19 ≤ xB≤ 0.83, where xBis the Bjorken scaling variable, we employ a robust method for extrapolating such data to arrive at a model-independent result for the xB= 1 value of the ratio of neutron and proton structure functions. Combining this with information obtained in analyses of DIS from nuclei, corrected for target-structure depen...     

微纳电极阵列检测丘脑底核电刺激引起的纹状体神经元活动变化

丘脑底核(STN)深部脑刺激(DBS)已成为帕金森病的重要外科治疗手段,然而其确切的作用机理尚不明确.本研究采用微机电系统(MEMS)技术制备了一种16通道植入式微电极阵列(MEA),在MEA表面修饰了铂黑-还原氧化石墨烯-Nafion膜(Pt/RGO/Nafion)纳米材料,用于同步检测麻醉大鼠脑内纹状体神经元在STN电刺激前后多巴胺(DA)含量和动作电位(Spike)发放变化.STN-DBS结果表明,电刺激20 s后,DA含量开始升高,最高达1.72 μmol/L,较高浓度状态保持约50 s后回落至正常水平.与此同时, 检测到在DA上升阶段中间神经元Spike发放活动增强,在保持高于DA正常浓度水平阶段,中等多棘神经元(MSNs)放电频率增加.本研究制备的微电极阵列传感器能够实现脑内多巴胺和电生理的原位实时检测,有望成为神经信息检测的有力工具.     

离子色谱法测定乳粉中的高氯酸盐

建立了乳粉中痕量高氯酸盐的固相萃取离子色谱分析方法。在碱性条件下,乙腈提取、浓缩,0.22μm尼龙滤膜+RP柱净化,AS20阴离子分析柱(150mm×4.0mm)分离,流动相为氢氧化钠溶液(30~70mmol/L),流速1.0mL/min。结果表明,高氯酸盐在0.4~20μg/L内具有良好的线性关系,相关系数0.999 8,样品检出限20μg/kg,加标回收率在77.2%~108%。测定了41个乳粉中的高氯酸盐含量,高氯酸盐检出率为31.7%。对质监部门用来检测乳粉中高氯酸盐的方法是一个补充,为食品安全提供了参考数据。     

反射式动态云纹法实验研究

在沙丁机基础上，实现了反射式动态云纹测量法。该法可用于不透明模型的动态位移，应变及应力场的研究。     

激光产生高压问题的二维数值模拟研究

在研究激光与靶物质相互作用以及激光驱动的效应中,许多问题具有二维性质。这种二维问题,目前都是用计算机来模拟研究的。本工作在[1]的基础上通过数值模拟,考虑了平面靶中激光驱动冲击波传播和平面性的二维问题。计算表明,对于高斯激光束,冲击波阵面为一曲面,波阵面上不同径向位置的压强是不同的。光束中心压强约为光斑边缘处压强的1.7倍。冲击波速度也有个径向分布,由中心向外逐渐下降。共计算了两个典型模型,其中一个与实验结果进行了比较,两者符合较好。     

碳化物衍生碳与石墨的摩擦磨损性能比较

通过高温氯化处理工艺在SiC表面制备碳化物衍生碳涂层(CDC),考察并比较了SiC、石墨和CDC在空气中的摩擦磨损性能.结果表明:在本文试验条件下,CDC的摩擦磨损性能优于石墨,CDC的摩擦系数低于0.15;CDC在载荷5 N下的磨损率在10-15 m3/N量级,当载荷等于或低于30 N时磨损率在10-14 m3/N量级,远低于相同条件下石墨的磨损率,即使在40 N或 50 N下其磨损率仅与20 N下SiC和石墨的磨损率相当.CDC的纳米结构及涂层与基体界面组成和性能的变化是影响其摩擦磨损性能的主要因素.     

Phase shift effects of radio-frequency bias on ion energy distribution in continuous wave and pulse modulated inductively coupled plasmas

A retarding field energy analyzer(RFEA) is used to measure the time-averaged ion energy distributions(IEDs) on the substrate in both continuous wave(CW) and synchronous pulse modulated radio-frequency(RF) inductively coupled Ar plasmas(ICPs).The effects of the phase shift θ between the RF bias voltage and the RF source on the IED is investigated under various discharge conditions.It is found that as θ increases from 0 to π,the IED moves towards the low-energy side,and its energy width becomes narrower.In order to figure out the physical mechanism,the voltage waveforms on the substrate are also measured.The results show that as θ increases from 0 to π,the amplitude of the voltage waveform decreases and,meanwhile,the average sheath potential decreases as well.Specifically,the potential drop in the sheath on the substrate exhibits a maximum value at the same phase(i.e.,θ = 0) and a minimum value at the opposite phase(i.e.,θ = π).Therefore,when ions traverse across the sheath region above the substrate,they obtain less energies at lower sheath potential drop,leading to lower ion energy.Besides,as θ increases from π to 2π,the IEDs and their energy widths change reversely.     

大型砂尘风洞中砂尘浓度测量与控制方法的研究

砂尘浓度指标严重影响砂尘风洞试验效果;在大型砂尘风洞中准确的测量及有效的控制砂尘浓度是砂尘风洞设备研制中的两个关键问题;针对动态试验工况环境中浓度传感器标定的问题,分析了浓度测量时标定参数与风速和浓度的关系,使用模型树算法建立了三者之间的关系模型,以此模型来预测各种动态情况下的标定参数;针对复杂环境下浓度动态控制问题,采用专家PID算法,提出了多回路控制系统结构和专家规则;工程实践表明该测量和控制方法满足了动态试验环境的需求,取得了良好效果;模型树算法和专家PID系统能有效的解决动态工况下砂尘浓度的测量与控制问题。