Inequalities for Quantum Skew Information

We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner–Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner–Yanase–Dyson skew informations.     

Metric-Adjusted Skew Information: Convexity and Restricted Forms of Superadditivity

We give a truly elementary proof of the convexity of metric-adjusted skew information following an idea of Effros. We extend earlier results of weak forms of superadditivity to general metric-adjusted skew information. Recently, Luo and Zhang introduced the notion of semi-quantum states on a bipartite system and proved superadditivity of the Wigner–Yanase–Dyson skew informations for such states. We extend this result to the general metric-adjusted skew information. We finally show that a recently introduced extension to parameter values 1 < p ≤ 2 of the WYD-information is a special case of (unbounded) metric-adjusted skew information.     

Vibration of skew plates resting on point supports

This paper deals with the vibrations of skew plates resting on point supports. The spline element method is used. To demonstrate the accuracy of the method, several examples are solved, and results are compared with those obtained by other approximate methods. The effects of skew angles and locations of point supports on natural frequencies of isotropic skew plates are also investigated.     

Free vibration and buckling analysis of clamped skew sandwich plates by the Galerkin method

Galerkin's variational method has been used in the past by several investigators [1–3] to solve bending problems of clamped skew plates. In this paper the suitability of the Galerkin method for solution of problems of buckling under the action of in-plane forces and of free vibration of skew plates is studied. The method is first applied to investigate the problems for clamped rectangular sandwich plates. After the validity of the method has been established, the method is then extended to analyze similar problems for clamped skew sandwich plates. The governing differential equations for the skew sandwich plates are obtained by transforming the corresponding differential equations in Cartesian coordinates into skew co-ordinates. The parameters considered herein for the buckling and free vibration behaviour of the skew sandwich plates are the aspect ratio of the plate, Poisson's ratio, skew angle and various shearing stiffnesses of the core. Simplicity and quick convergence is the advantage of the method in comparison with other much more laborious numerical methods requiring extensive computer facilities.     

Analysis of skew plate problems with various constraints

This paper presents the application of the modified Rayleigh-Ritz method with Lagrange multipliers to analyze skew plate problems with various constraints. By this procedure one can satisfy both geometric and natural boundary conditions of skew plates. To demonstrate the accuracy and versatility of the method, several examples of bending, vibration and buckling of skew plates are solved, and results are compared with those obtained by other approximate methods.     

全球变暖对高温破纪录事件规律性的影响

分别采用高斯分布函数和偏态分布函数分析了厦门市1954—2004年51年日观测温度资料中的高温破纪录事件的统计规律,并以此采用蒙特卡罗方法对厦门市未来高温破纪录事件发展趋势进行了模拟.结果显示:厦门近50年来6月的日温度观测资料更符合偏态函数统计规律性; 但理论研究表明偏态函数与高斯函数有着同样的收敛极限,即Gumbel 分布函数. 模拟结果还显示:在全球增暖背景下的基于偏态函数分布的蒙特卡罗模拟能较好地揭示未来厦门市极端事件发生规律, 并对厦门未来的10年6月份日温度概率分布做了预测.全球增暖背景,一方 关键词： 高温破纪录事件 蒙特卡罗模拟 偏态分布函数     

基于特征点最小距离拟合的文档图像倾斜检测

在文档扫描输入的过程中,文档图像不可避免地会发生倾斜,而布局分析及字符识别对页面倾斜十分敏感,因此倾斜检测和矫正是文档分析预处理中的重要环节。提出了一种基于最小距离拟合的文档图像倾斜检测方法。首先通过对文档图像进行二值化、分块、膨胀运算、连通标记等一系列图像处理操作,以此找到特征点;然后采用最小距离法对这些特征点进行直线拟合,便可获得文档的倾斜角。实验结果表明,该方法能够快速、精确地检测文档的倾斜角度。     

Vibration of a parallelogram membrane

The approximate natural frequencies of oblique membranes have been determined for arbitrary skew angles and side ratios. The response of such a membrane to a forcing function is then obtained in a similar fashion. The lower natural frequencies have been presented for various side ratios of the membrane as a function of the skew angle and vice versa. With increasing skew angle they increase rapidly. For large skew angles the lower natural frequencies are mainly made up by those of the index n = 1. This is especially valid for membranes of large side ratio.     

Note on the Wigner-Yanase-Dyson Skew Information

In this note, releasing the restriction on operators which are observables (self-adjoint), a generalization of the Wigner-Yanase-Dyson skew information is given. We study some properties of the generalization of the Wigner-Yanase-Dyson skew information and related quantities from the operator theory point of view. In particular, an elementary proof of the convexity with the Wigner-Yanase-Dyson skew information is obtained.     

Uncertainty Relations Based on Modified Wigner-Yanase-Dyson Skew Information

Uncertainty relation is a core issue in quantum mechanics and quantum information theory. We introduce modified generalized Wigner-Yanase-Dyson (MGWYD) skew information and modified weighted generalized Wigner-Yanase-Dyson (MWGWYD) skew information, and establish new uncertainty relations in terms of the MGWYD skew information and MWGWYD skew information.

     

Geometry of skew information-based quantum coherence

We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensors of mutually unbiased bases (MUBs). We also give surfaces of skew information-based coherence for Bell-diagonal states and a special class of X states in both computational basis and in MUBs. Moreover, we depict the surfaces of the skew information-based coherence for Bell-diagonal states under various types of local nondissipative quantum channels. The results show similar as well as different features compared with relative entropy of coherence and l₁ norm of coherence.     

Skew aberration: a form of polarization aberration

We define a new class of aberration, skew aberration, which is a component of polarization aberration. Skew aberration is an intrinsic rotation of polarization states due to the geometric transformation of local coordinates, independent of coatings and interface polarization. Skew aberration in a radially symmetric system has the form of a circular retardance tilt plus coma aberration. Skew aberration causes undesired polarization distribution in the exit pupil. We demonstrate statistics on skew aberration of 2383 optical systems described in Code V's U.S. patent library [Code V Version 10.3 (Synopsys, 2011), pp. 22-24]; the mean skew aberration is 0.89° and the standard deviation is 1.37°. The maximum skew aberration found is 17.45° and the minimum is -11.33°. U.S. patent 2,896,506, which has ±7.01° of skew aberration, is analyzed in detail. Skew aberration should be of concern in microlithography optics and other high NA and large field of view optical systems.     

电磁诱导光透明过程中的Wigner-Yanse偏振信息

利用约化密度矩阵及信息的定义,研究了电磁诱导光透明机理下, 控制场变化过程中探测场与原子系综的Wigner-Yanse偏振信息, 结果表明:探测场信息转移过程中,原子的信息量不仅依赖于光子的数目及光子的状态, 还依赖于系综内原子的数目;调节控制场,使探测场不能通过介质时,探测场完成信息转移, 原子系综内单个原子信息量获得最大值,但探测场的信息量并没有完全地转移到原子系综. 关键词： 电磁诱导光透明 暗态极化子 Wigner-Yanse偏振信息     

A novel planar calibration method using the iterative correction of control points information

In the camera calibration using translational planar object instead of 3D target, the skew affected by the imprecision in installation causes the object to deviate from the designated position, which produces errors to the world coordinates of control points and reduces the calibration accuracy. In this paper, a skew correction model is established to correct this skew. We note and prove that the skew bias of control point which is close to the fix point is tiny. According to the projection regulation, the pixel distance between two adjacent control points which is close to the fix point in skewed situation is a value extremely approximate to that in the ideal situation. Based on this property, we utilize the pixel distance to assign the image coordinates based on the fix point. The assigned values are then employed to estimate the skew factors, by which the initial camera parameters are optimized and lens distortion in the calibration images are corrected. This process is then repeated until convergence. Experiments based on real images prove that this method is more accurate than other methods without correcting skew. The parameters obtained by our method can be applied to the 3D reconstruction directly and effectively.     

Optimizing head/media electrical characterization in the presence of skew at high track density

The skew angle causes a discrepancy in determining the reader-to-writer offset (RWO) when using different periodical patterns in track profile tests. It also separates the peak overwrite (OW) from the peak high frequency amplitude HFA, (1 T periodical pattern) on corresponding track profiles. Furthermore, higher track density and larger skew angle exacerbate the skew effect and induce more RWO error, thus impacting the parametric performance optimization. Simulation studies are used to interpret the skew effect on the RWO determination and OW cross-track characteristics. Based on experimental investigations and simulation analyses, using the HFA, track profile for deriving the optimal RWO is proposed for spin-stand tests. Actual parametric characterization has proven that the optimal RWO minimized the skew effect and the RWO error, thus improving the parametric performance and reducing the test variation. The method is beneficial and necessary for the high track density characterization.     

束流线性耦合效应的初步研究

在储存环的束流传输系统中,斜四极场和纵向螺线管场是引起束流线性耦合的主要原因.由于这种耦合,使得束流的幅度和发射度发生交换,引起束流横向包络的增大,严重的将造成束流损失.从Betatron运动方程出发研究了斜四极场和螺线管场存在时束流的幅度耦合效应,分析了斜四极场存在时束流发射度的变化.     

激光脉冲形状对弓形波电子俘获的影响

使用二维粒子模拟程序研究了电子弓形波注入机制中激光脉冲形状对电子俘获效果的影响. 研究结果表明, 激光脉冲时间上升沿陡峭的正扭曲脉冲激发的尾波场强度高, 加速区域分布广, 并且有利于电子获得更高的初速度, 从而推动更多的电子进入尾波场加速相位. 在其他条件相同的情况下, 正扭曲脉冲的电子俘获数目远高于激光脉冲时间分别为高斯形和负扭曲分布的情形, 使得电子束的品质得到改善. 研究结果对于理解尾波场加速中电子注入过程以及获得大电荷量高能电子束具有积极意义. 关键词： 尾波场 电子俘获 时间波形 粒子模拟     

Quantum forms of tensor products

We describe the skew tensor-product structure inherent to Yang-Mills procedures pertaining to non-commutative spaces obtained by (skew) tensorization.Dedicated to Huzihiro Araki     

Wigner-Yanase skew information and uncertainty relations

The Wigner-Araki-Yanase theorem puts a limitation on the measurement of observables in the presence of a conserved quantity, and the notion of Wigner-Yanase skew information quantifies the amount of information on the values of observables not commuting with the conserved quantity. We demonstrate that the statistical idea underlying the skew information is the Fisher information in the theory of statistical estimation. A quantum Cramér-Rao inequality and a new uncertainty relation in terms of the skew information are established, which shed considerable new light on the relationships between quantum measurement and statistical inference. The result is applied to estimating the evolution speed of quantum states.     

Free vibration of skew Mindlin plates by p-version of F.E.M.

Accurate natural frequencies and mode shapes of skew plates with and without cutouts are determined by p-version finite element method using integrals of Legendre polynomials for p=1-14. The hierarchical plate element is formulated based on Mindlin's plate theory including rotatory inertia effects and based on a skew co-ordinate system. Non-dimensional frequency parameter and mode shapes are presented for a range of skew angle (β), aspect ratio (a/b), thickness-width ratio (h/b), cutout dimensions and different boundary conditions. The results were verified by comparison with those available in the open literature.