Universal Sets of Quantum Information Processing Primitives and their optimal use

The talk deals withs several concepts of universality in quantum information processing (QIP) and with various (sometimes surprising) universal sets of quantum primitives as well as with their optimal use.     

Crystallization of space: Space-time fractals from fractal arithmetic

Fractals such as the Cantor set can be equipped with intrinsic arithmetic operations (addition, subtraction, multiplication, division) that map the fractal into itself. The arithmetic allows one to define calculus and algebra intrinsic to the fractal in question, and one can formulate classical and quantum physics within the fractal set. In particular, fractals in space-time can be generated by means of homogeneous spaces associated with appropriate Lie groups. The construction is illustrated by explicit examples.     

Electrically controllable unidirectional transmission in a heterostructure composed of a photonic crystal and a deformable liquid droplet

We propose a new method to realize the tunable unidirectional behavior using a heterostructure composed of a one-dimensional photonic crystal and a deformable liquid droplet. We can control the occurrence of the unidirectional behavior in the heterostructure by adjusting the voltage applied on the liquid system. It is demonstrated that when the voltage is not applied most of incident-wave energy can be transmitted through the heterostructure for backward lights. While the forward lights can’t be transmitted, if the voltage is high enough, the one-way behavior disappears. The applied voltage to control the one-way behavior may be relatively low. Thereby, we can expect that the heterostructure may have potential applications in optical devices.     

积分凸性及其应用

该文在Banach空间中通过向量值函数的Bochner积分引进集合与泛函的积分凸性以及集合的积分端点等概念. 文章主要证明有限维凸集、开凸集和闭凸集均是积分凸集，下半连续凸泛函与开凸集上的上半连续凸泛函均是积分凸的, 非空紧集具有积分端点, 对紧凸集来说其积分端点集与端点集一致, 最后给出积分凸性在最优化理论方面的两个应用.     

局部β-凸空间中的第二分离性定理及其共轭锥上的有界性定理

第一部分给出局部β－凸空间中的第二分离性定理和Ｍｉｎｋｏｗｓｋｉ定理及Ｋｒｅｉｎ－Ｍｉｌｍａｎ定理等；第二部分得到其共轭锥上Ｕ Ｆ－有界与Ｕ Ｂ－有界等价的充要条件为原空间是次完备的．     

Rigidity of the anomalous transport of the standard map to time dependent perturbation

Superdiffusive anomalous transport in the standard map model can be especially strong for the cases of specially selected values of the control parameter, when a hierarchical set of islands has appeared. For these cases we introduce and study a notion of rigidity of the system with respect to a small periodic perturbation. It is shown that the kinetic properties of the system have a rigidity while the topology of the phase space is modified.     

关于等距映射的Aleksandrov问题

本文推广了保1映射的Aleksandrov问题,同时推广了Benz定理和Mazur-Ulam定理。     

碱溶法,原子吸收光谱直接测定人发、指甲的微量元素

本文探讨 2mol·L-1 NaOH溶液溶解人发、指甲 ,并在氘灯扣除背景下用火焰原子吸收法和石墨炉原子吸收法测定其中的Ca ,Zn ,Fe,Mn ,Ni,Cd ,Cu ,Pb ,Bi等元素 ,结果显示 ,所测元素含量与文献值基本相符 ,回收率除Bi偏低外 ,其它元素均在 90 0 %～ 110 8%内。并且发现人体的头发与指甲中所含元素含量没有对应关系 ,头发中所含元素含量高的 ,指甲中所含元素含量不一定高 ;头发中所含元素含量低的 ,指甲中所含元素含量不一定低