Quantum Correlation in Matrix Product States of One-Dimensional Spin Chains

For our proposed composite parity-conserved matrix product state (MPS), if only a spin block length is larger than 1, any two such spin blocks have correlation including classical correlation and quantum correlation. Both the total correlation and the classical correlation become larger than that in any subcomponent; while the quantum correlations of the two nearest-neighbor spin blocks and the two next-nearest-neighbor spin blocks become smaller and for other conditions the quantum correlation becomes larger, i.e., the increase or the production of the long-range quantum correlation is at the cost of reducing the short-range quantum correlation, which deserves to be investigated in the future; and the ration of the quantum correlation to the total correlation monotonically decreases to a steady value as the spacing spin length increasing.     

Decision optimization for face recognition based on an alternate correlation plane quantification metric

We consider a new approach for enhancing the discrimination performance of the VanderLugt correlator. Instead of trying to optimize the correlation filter, or propose a new decision correlation peak detection criterion, we propose herein to denoise the correlation plane before applying the peak-to-correlation energy (PCE) criterion. For that purpose, we use a linear functional model to express a given correlation plane as a linear combination of the correlation peak, noise, and residual components. The correlation peak is modeled using an orthonormalized function and the singular value decomposition method. A set of training correlation planes is then selected to create the correlation noise components. Finally, an optimized correlation plane is reconstructed while discarding the noise components. Independently of the filter correlation used, this technique denoises the correlation plane by lowering the correlation noise magnitude in case of true correlation and decreases the false alarm rate when the target image does not belong to the desired class. Test results are presented, using a composite filter and a face recognition application, to verify the effectiveness of the proposed technique.     

Quantum Correlation in Matrix Product States of One-Dimensional Spin Chains

For our proposed composite parity-conserved matrix product state(MPS), if only a spin block length is larger than 1, any two such spin blocks have correlation including classical correlation and quantum correlation. Both the total correlation and the classical correlation become larger than that in any subcomponent; while the quantum correlations of the two nearest-neighbor spin blocks and the two next-nearest-neighbor spin blocks become smaller and for other conditions the quantum correlation becomes larger, i.e., the increase or the production of the long-range quantum correlation is at the cost of reducing the short-range quantum correlation, which deserves to be investigated in the future; and the ration of the quantum correlation to the total correlation monotonically decreases to a steady value as the spacing spin length increasing.     

Correlation effects in tracer diffusion and ionic conductivity

In this paper a conceptual link between the tracer correlation factor and the physical or conductivity correlation factor is explored in detail. As an aid to the discussion Monte Carlo simulation is used to calculate diagonal and cross phenomenological transport coefficients. It is shown that the tracer correlation factor can be regarded as a conductivity correlation factor and that the question of the formal correlation factor status of the conductivity correlation factor is meaningless.     

二次JPEG压缩对噪音相关性的影响分析

为了探索二次JPEG压缩对数字图像与数码相机的噪音相关性的影响,提高利用噪音相关性鉴别数字图像来源的正确性,降低鉴别过程的复杂性,利用高品质的JPEG格式图像进行JPEG压缩实验,从噪音相关性的分布、噪音相关性的大小、鉴别阈值和错误拒绝率四个角度分析了JPEG压缩对噪音相关性的影响.实验结果表明,JPEG压缩会改变噪音相关性的分布特性,噪音相关性与品质因素是二次曲线关系,当品质因素小于90时,鉴别阈值取平均值,错误拒绝率不会产生明显的误差,从而找到了一种利用噪音相关性鉴别二次JPEG压缩图像来源的新捷径.     

光学相关器在自动目标识别中的应用

为使光学相关器更好地应用于自动目标识别领域,保证在较高识别速度下,具备良好的识别效果,介绍了应用于自动目标识别领域的联合变换相关器和匹配滤波相关器.针对匹配滤波相关器实现过程中的两项关键技术,在滤波器编码技术上提出了构造等相关峰综合鉴别函数以解决畸变不变识别问题.在相关峰识别技术上,针对阈值法存在的不足,提出利用BP神经网络对相关平面相关峰进行识别,采用划分感兴趣区域的方法减少了输入层神经元数目,简化了神经网络结构.借助搭建的光学相关器系统验证了该方法可对相关信号和噪声进行有效分类,提高了光学相关器的识别效果.     

近地面大气光学湍流空间相关特性的实验研究

本文提出了基于光纤湍流传感器阵列的大气光学湍流空间相关函数测量原理, 并确定了具体的测量方案和数据统计方法. 利用光纤湍流传感器阵列在近地面开展了大气光学湍流空间相关特性的实验测量研究, 尽可能全面地展示光学湍流空间相关函数的各种形式. 结果表明, 大气光学湍流的一维空间相关函数主要表现为两种结构形态, 其一, 58.7%基本符合各向同性湍流空间相关函数模型, 其相关函数在一定尺度范围内呈现随尺度的增大而减小的趋势, 当超过该尺度时, 相关系数接近于0; 其二, 另有37.9%表现为与尺度无关, 相关系数维持在0附近小幅度随机振荡. 不难发现:光学湍流的空间相关特性主要取决于湍流的强弱和湍流是否得以充分发展, 同时, 湍流的相干结构将引起空间相关函数的小幅度振荡. 以空间布点探测直接获取光学湍流空间相关函数的方法, 不仅为分析湍流空间结构奠定了实验基础, 同时, 也为进一步建立非K湍流模型提供了理论开端.     

电子关联效应对平行双量子点系统磁输运性质的影响

从理论上研究了平行双量子点系统中的电子关联效应对该系统磁输运性质的影响. 基于广义主方程方法, 计算了通过此系统的电流、微分电导和隧穿磁阻. 计算结果表明: 电子自旋关联效应可以促发一个很大的隧穿磁阻, 而电子库仑关联效应不仅可以压制电子自旋关联效应, 还可以导致负隧穿磁阻和负微分电导的出现. 对相关的基本物理问题进行了讨论.     

相关测速声呐底混响时空相关函数与载体俯仰角的关系

由于载体在运动过程中存在姿态的变化,不考虑载体姿态的理论相关函数会影响相关声呐的测速精确度。考虑载体俯仰角对发射信号海底照射区域的影响,引入不同权重的多阶贝塞尔函数,得到改进后的理论相关函数。同时,根据相关测速声呐发射参数,给出了基于FOM模型的海底回波仿真。仿真结果表明,改进的理论相关函数将相关声呐的测速误差降至1%以下。载体的俯仰角对时空相关函数产生影响。考虑载体俯仰角的理论相关函数更贴近实际情况,与仿真结果的相关系数吻合的较好,能够更加准确的估计载体速度。      

Phase‐Dependent Quantum Correlation in a Cavity‐Atom System

A scheme to manipulate quantum correlation between output lights of a cavity‐atom system by phase control is proposed. A driving‐field phase is introduced which has a similar value with that of building up quantum correlation in a Hanbury–Brown–Twiss setup. A closed‐loop phase is formed to improve quantum coherence by phase‐dependent electromagnetically induced transparency. The closed‐loop phase has been utilized to realize quantum correlation and even quantum entanglement in the atomic system of previous work. With these two phases, a steady and maximum quantum correlation has been obtained in the scheme here. Moreover, the maximum quantum correlation is free to decoherence of this cavity‐atom system. The study on field‐intensity correlation (quantum correlation) has potential applications on correlated imaging, image encryption transmission, and the improvement of noise resistance in a quantum network.     

On the correlation of nonlinear variables containing secular trend variations： numerical experiments

Due to global warming, the general circulation, underlying surfaces characteristics, and geophysical and meteorological elements all show evident secular trends. This paper points out that when calculating the correlation of two variables containing their own obvious secular trends, the interannual correlation characteristics between the two variables may be distorted (overestimated or underestimated). Numerical experiments in this paper show that if two variables have opposite secular trends, the correlation coefficient between the two variables is reduced (the positive correlation is underestimated, or the negative correlation is overestimated); and if the two variables have the same sign of secular trends, the correlation coefficient between the two variables is increased (the positive correlation is overestimated, or the negative correlation is underestimated). Numerical experiments also suggest that the effect of secular trends on the interannual correlation of the two variables is interchangeable, that is to say, as long as the values of the two trends are not changed, the two variables interchange their positions, and the effect of the secular trends on the interannual correlation coefficient of the two variables remains the same. If the two variables have the same-(opposite-) sign trends, the effect of secular trends on the interannual correlation coefficient is more (less) distinctive. A meteorological example is given.     

Appearance of an artificial length scale in JETSET Bose-Einstein simulation

This work studies the algorithm which implements the Bose-Einstein correlation effect in the JETSET 7.4 event generator. This algorithm attempts to reproduce an expected correlation function with a given correlation radius and amplitude. The two-particle correlation function is studied in the generated hadronic decays for different values of the built-in radius parameter. Samples consisting of only charged particles are used, as well as subsamples of pions, pions coming from the string decay and pions from the resonance decays. The Bose-Einstein correlation function, extracted from the generated events, is parameterized analogously to the built-in JETSET correlation function and its parameters are compared with the input ones. We found that the measured correlation function reproduces the built-in one, if the input radius parameter is larger than 1 fm. For lower input radii an artificial new length scale appears due to the way the Bose-Einstein correlation is implemented. Received: 13 November 1997 / Revised version: 5 September 1998 / Published online: 14 January 1999     

匹配滤波器映射编码方法研究

在Vander Lugt 相关器中,预先制作的匹配滤波器是系统能否得到较好的相关识别结果的关键。通常使用的迂回相位匹配滤波器编码法数据利用率不高,相关效果有进一步改进的空间。对基于最小欧几里德距离的映射编码法进行了研究,利用空间光调制器的振幅与相位调制特性进行滤波器编码,通过仿真实验分析了匹配滤波函数幅度因子对相关结果的影响,并与迂回相位编码法的相关结果进行了对比分析。从仿真结果可以看出:匹配滤波函数幅度因子越大,相关峰值越高;当幅度因子达到103时,相关峰值达到最大值;此时,映射编码法的相关峰值接近于迂回相位编码法的2倍。因此映射编码法比迂回相位编码法更有利于相关峰的判别。     

Bayesian approach to electron correlation in density functional theory

In the present communication we applied the Bayesian conditional probability approach to the wave function of a many‐electron system that resulted in the appearance of a quantum vector potential in the DFT Schrödinger equation due to electron correlation, apart from the correlation energy term. Mathematically, the effect of this vector potential is equivalent to a magnetic field that corresponds in particular to a conservative irrotational one if it is considered in connection with the correlation potential. An analysis of the effect of the correlation momentum on the electronic transitions suggested that the electron correlation increases the transition probability.     

Multifractional correlation

Multifractional correlation is proposed that is based on a new generalized fractional Fourier transform to which we refer as a multifractional Fourier transform. The multifractional correlation yields remarkable improvements in the correlation output peak intensity, peak sharpness, and light efficiency compared with convention correlation, which uses matched and phase-only filters, and still maintains better target discrimination capability and a reasonable robustness to noise. An optoelectronic hybrid system that can implement the multifractional correlation is also suggested.     

加性信号调制下指数形式关联噪声驱动的单模激光的光强关联时间

采用线性化近似,计算了加性信号调制下的由具有指数关联的两白噪声驱动的单模激光增益模型的光强关联时间.发现两噪声间关联程度对光强关联时间随噪声强度的变化曲线有很大的影响,两噪声间关联程度取不同值时,光强关联时间随噪声强度的变化曲线中将出现极大值(即出现共振) 或极小值(即出现抑制) .     

Quantifying time-varying coordination of multimodal speech signals using correlation map analysis

This paper demonstrates an algorithm for computing the instantaneous correlation coefficient between two signals. The algorithm is the computational engine for analyzing the time-varying coordination between signals, which is called correlation map analysis (CMA). Correlation is computed around any pair of points in the two input signals. Thus, coordination can be assessed across a continuous range of temporal offsets and be detected even when changing over time due to temporal fluctuations. The correlation algorithm has two major features: (i) it is structurally similar to a tunable filter, requiring only one parameter to set its cutoff frequency (and sensitivity), (ii) it can be applied either uni-directionally (computing correlation based only on previous samples) or bi-directionally (computing correlation based on both previous and future samples). Computing instantaneous correlation for a range of time offsets between two signals produces a 2D correlation map, in which correlation is characterized as a function of time and temporal offset. Graphic visualization of the correlation map provides rapid assessment of how correspondence patterns progress through time. The utility of the algorithm and of CMA are exemplified using the spatial and temporal coordination of various audible and visible components associated with linguistic performance.     

Dynamical effects of electron-hole correlation and giant quantum attenuation of ultrasound in semimetals

The giant quantum attenuation of ultrasound in bismuth and other semimetals is noticeably enhanced when certain pair of Landau subbands of electrons and holes participate simultaneously in an attenuation peak. A theoretical analysis is presented which emphasizes importance of dynamical effects of the electron-hole correlation. In the temperature range between 1 K and 4 K covered by most experiments, the correlation effect is found to be weak on the real part of the relevant response function which gives changes in sound velocity. This implies that equilibrium properties of the system are not much influenced by the correlation effect. Nonetheless, the electron-hole correlation is shown to have a drastic consequence on the imaginary part of the response function probed by the ultrasonic attenuation. Proposal for experiment is advanced to discriminate relative importance of this exciton-like correlation from that of republsive correlation between carriers with the same charge.     

聚合物中长程关联能的动力学研究

本文计算采用扩展的SSH哈密顿模型, 加上长程关联哈密顿量,在自然边界条件下,用绝热动力学方法研究了有限长反式聚乙炔链中平均关联能随时间的演化,计算了长程电子关联对极化子动力学的影响并计算了极化子状态下的长程关联能。结果发现,加入一个电子或空穴,平均关联能的大小随着时间呈非周期性阻尼振荡,经过一定时间后,平均关联能趋近一个恒定值,此时得到比较稳定的极化子位形。当格点增加时,长程关联能趋于恒定的时间逐渐缩短。     

Weighted nonlinear correlation for controlled discrimination capability

We recently demonstrated the high discrimination capability as well as the high sensitivity to small intensity variations of the sliced orthogonal nonlinear generalized (SONG) correlation. This nonlinear correlation has a correlation matrix representation. Previous papers considered only the principal diagonal elements of the correlation matrix. We propose using the off-diagonal non-zero elements of the SONG correlation matrix in order to achieve variable discrimination performance and controlled detection adapted to the gray-scale variations. Moreover, we introduce negative coefficients in order to improve the discrimination properties of the SONG correlation. To control the degree of recognition we define a correlation that is related with the degree of degradation. The proposed changes to the SONG correlation may be implemented by means of optics.