Optimal entropic uncertainty relation for successive measurements in quantum information theory

We derive an optimal bound on the sum of entropic uncertainties of two or more observables when they are sequentially measured on the same ensemble of systems. This optimal bound is shown to be greater than or equal to the bounds derived in the literature on the sum of entropie uncertainties of two observables which are measured on distinct but identically prepared ensembles of systems. In the case of a two-dimensional Hilbert space, the optimum bound for successive measurements of two-spin components, is seen to be strictly greater than the optimal bound for the case when they are measured on distinct ensembles, except when the spin components are mutually parallel or perpendicular     

一种外置式视频同步信号发生器的设计

对随机视频信号的特点进行了研究，提出了采用谱分析提取随机视频信号的同步频率的方法，根据数据传输的要求设计了基于USB接口的外置式视频同步信号发生器并给出了系统的硬件框图和软件流程。系统具有自动分析随机视频信息隐含的同步信号频率，精确产生同步脉冲信号的特点，满足随机视频信号采集和稳定显示的同步要求。同步精度达到300帧内图像漂移小于1个像素。利用该视频同步信号发生器控制非标准图像采集卡实现了计算机辐射的随机视频信号的采集和稳定显示。     

透反液晶显示器

兼有透射型和反射型液晶显示优点的透反液晶显示可工作于透射和反射两种显示模式，它将广泛应用于手机、PDA等通讯领域。透反液晶显示可分为单盒厚和双盒厚两大类。又可分为扭曲型和非扭曲型两种。为了研制出高性能透反液晶显示器，需解决透反两个显示区的响应时间、光效率、色饱和度的差异以及视角等问题。文中介绍了Sharp公司开发的2种基本的透反液晶显示。以及3种新近开发的高性能透反液晶显示。随着应用市场的扩大和技术的进步，透反液晶显示将会进一步得到发展。     

一种基于bit位的运动补偿方法

本文讨论了等离子体显示屏所特有的在显示运动画面时出现的伪轮廓线现象，对产生的原因进行了分析并给出了软件模拟的结果。在此基础上，提出了一种基于bit位的运动补偿方法来改善运动图像的画面质量，同时根据人眼的视觉特征对补偿方法做了进一步的优化。最后对基于bit位的运动补偿方法进行了比较和验证，结果表明基于bit位的运动补偿方法可以基本消除运动画面的伪轮廓线现象。     

Stationary entanglement between macroscopic mechanical oscillators

We show that the optomechanical coupling between an optical cavity mode and two movable cavity mirrors is able to entangle two different macroscopic oscillation modes of the mirrors. This continuous variable entanglement is maintained by the light bouncing between the mirrors and is robust against thermal noise. In fact, it could be experimentally demonstrated using present technology. Received 2 September 2002 / Received in final form 10 October 2002 Published online 7 January 2003     

Computing Zeta Functions of Kummer Curves via Multiplicative Characters

We present a practical polynomial-time algorithm for computing the zeta function of a Kummer curve over a finite field of small characteristic. Such algorithms have recently been obtained using a method of Kedlaya based upon Monsky–Washnitzer cohomology, and are of interest in cryptography. We take a different approach. The problem is reduced to that of computing the L-function of a multiplicative character sum. This latter task is achieved via a cohomological formula based upon the work of Dwork and Reich. We show, however, that our method and that of Kedlaya are very closely related.Dedicated to the memory of Gian-Carlo Rota     

Uniformity in Computable Structure Theory

We investigate the effects of adding uniformity requirements to concepts in computable structure theory such as computable categoricity (of a structure) and intrinsic computability (of a relation on a computable structure). We consider and compare two different notions of uniformity, previously studied by Kudinov and by Ventsov. We discuss some of their results and establish new ones, while also exploring the connections with the relative computable structure theory of Ash, Knight, Manasse, and Slaman and Chisholm and with previous work of Ash, Knight, and Slaman on uniformity in a general computable structure-theoretical setting.     

一维ZnO纳米结构的电子场发射研究

在大量制备一维ZnO纳米结构的基础上,研究了这些纳米结构的场发射性能。对于四角状ZnO纳米结构,获得1.0m Ac/m2的电流密度只需要4.5V/μm的电场;对于线状Z nO纳米结构,获得1.0mAc/m 2的电流密度需要6.5V/μm的电场。由于其特殊的结构,四角状ZnO一维纳米结构在真空电子器件方面有很好的应用前景。     

Chern and Pontryagin Numbers in Perfect Symmetries of Spheres

The paper presents a procedure for constructing smooth actions of finite perfect groups on spheres with fixed point sets having certain prescribed properties (Theorem A); in particular, having any prescribed configuration of Chern and Pontryagin numbers (Corollary C). The main ingredients used are equivariant thickening and equivariant surgery.