Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional systems

The PHC criterion and the realignment criterion for pure states in infinite-dimensional bipartite quantum systems are given. Furthermore, several equivalent conditions for pure states to be separable are generalized to infinite-dimensional systems.     

Entanglement detection beyond the CCNR criterion for infinite-dimensions

In terms of the relation between the state and its reduced states, we obtain two inequalities which are valid for all separable states in infinite-dimensional bipartite quantum systems. One of them provides an entanglement criterion which is strictly stronger than the computable cross-norm or realignment (CCNR) criterion.     

—类5X5的可分量子态的可分表示(英)简

研究了一类 5×5 的两体量子态,
证明其可分的充分必要条件是它的部分转置矩阵为半正定矩阵~(PPT),
并且构造出了这类可分态的一种可分分解表示. 用此方法,
可判别一类量子态是否纠缠.     

An entanglement criterion for states in infinite-dimensional multipartite quantum systems

In(Phys Lett A,2002,297:4-8) an entanglement criterion for finite-dimensional bipartite systems is proposed:If ρ AB is a separable state,then Tr(ρA2) Tr(ρ2) and Tr(ρB2) Tr(ρ2).In the present paper this criterion is extended to infinite-dimensional bipartite and multipartite systems.The reduction criterion presented in(Phys Rev A,1999,59:4206-4216) is also generalized to infinitedimensional case.Then it is shown that the former criterion is weaker than the later one.     

制备腔场纠缠压缩相干态的新方案

提出了一种利用V型三能级原子与大振幅相干态腔场的Raman相互作用来制备相干压缩纠缠态的方案．在这个方案中,一个V型三能级原子连续通过多个处于压缩相干态的腔,通过Raman相互作用,整个系统处于纠缠态．而后,对原子进行探测,则腔场组成的系统坍缩到多模压缩相干纠缠态．     

A.J.Schwenk猜想的证明

本文证明了偶图G的特征多项式P(G;X)=sum from k=0 to m ((-1)~ka_(2k)x~(n-2k))的系数a_(2k)是单峰的.因为树是偶图,所以A.J.Schwenk关于树的特征多项式的系数具有单峰性的猜想可由本文的结论直接得到验证.     

Entanglement of spin waves among four quantum memories

Quantum networks are composed of quantum nodes that interact coherently through quantum channels, and open a broad frontier of scientific opportunities. For example, a quantum network can serve as a 'web' for connecting quantum processors for computation and communication, or as a 'simulator' allowing investigations of quantum critical phenomena arising from interactions among the nodes mediated by the channels. The physical realization of quantum networks generically requires dynamical systems capable of generating and storing entangled states among multiple quantum memories, and efficiently transferring stored entanglement into quantum channels for distribution across the network. Although such capabilities have been demonstrated for diverse bipartite systems, entangled states have not been achieved for interconnects capable of 'mapping' multipartite entanglement stored in quantum memories to quantum channels. Here we demonstrate measurement-induced entanglement stored in four atomic memories; user-controlled, coherent transfer of the atomic entanglement to four photonic channels; and characterization of the full quadripartite entanglement using quantum uncertainty relations. Our work therefore constitutes an advance in the distribution of multipartite entanglement across quantum networks. We also show that our entanglement verification method is suitable for studying the entanglement order of condensed-matter systems in thermal equilibrium.     

关于一类(g,f)-2-覆盖图的研究

一个图G称为(g,f)-2-覆盖图,如果G的任何两条边都属于它的一个(g,f)-因子,得到了如下结论:(1)当g≤f时,一个二部图是(g,f)-2-覆盖图的一个充分必要条件;(2)当f(X)=f(Y)时,一个二部图是f-2-覆盖图的一个充分必要条件及其简单判别准则.     

Demonstration of a quantum teleportation network for continuous variables

Quantum teleportation involves the transportation of an unknown quantum state from one location to another, without physical transfer of the information carrier. Although quantum teleportation is a naturally bipartite process, it can be extended to a multipartite protocol known as a quantum teleportation network. In such a network, entanglement is shared between three or more parties. For the case of three parties (a tripartite network), teleportation of a quantum state can occur between any pair, but only with the assistance of the third party. Multipartite quantum protocols are expected to form fundamental components for larger-scale quantum communication and computation. Here we report the experimental realization of a tripartite quantum teleportation network for quantum states of continuous variables (electromagnetic field modes). We demonstrate teleportation of a coherent state between three different pairs in the network, unambiguously demonstrating its tripartite character.     

八角莲不同部位鬼臼毒素和4'-去甲鬼臼毒素含量的测定

利用反相高效液相色谱法建立了同时分离和测定4'-去甲鬼臼毒素和鬼臼毒素的方法.所选用的色谱柱为Waters Spherisorb ODS2(5μm,4.6 mm i.d×250 mm),流动相组成为甲醇-水(体积比为65∶35),检测波长为207 nm.在该色谱条件下,4'-去甲鬼臼毒素质量浓度在0.222 4⁵56μg/mL、鬼臼毒素质量浓度在0.596 8556μg/mL、鬼臼毒素质量浓度在0.596 8¹ 492μg/mL范围内线性关系良好,相关系数分别为0.999 8和0.999 9.该方法应用于中药八角莲的叶、茎、须和根中这2个组分的含量分析.     

江油附子谷草转氨酶和谷丙转氨酶活性的动态分析

为了研究江油附子不同品种的生理和生长发育特性,选用了来自不同地区的五个附子主要品种,分析测定了其与氮代谢关系密切的谷草转氨酶(ALT/GOT)和谷丙转氨酶(AST/GPT)活性动态变化.结果表明,从3月25日至7月25日间,各附子品种ALT/GOT和AST/GPT活性总体上表现为前期变化不大,后期迅速增长的变化特性,反映了附子植株的生长和发育特性;不同品种的酶活性及其变化特性间存在较大差异,反映了不同附子品种间存在较大的遗传差异.研究认为,应该加强江油附子的品种资源研究和规范管理,以提高附子产品质量和及其稳定性.     

完全偶图的定向图

完全偶图是具有二分类（X,Y）的简单偶图，其中X的每个顶点与Y的每个顶点相连，若｜X｜=m,｜Y｜=n，则这样的图记为K_m,n。本文主要研究了Kn,n的定向图。证明了如下结论：对于非负整数a和b，若存在满足每个顶点的入度是a或者是b的一个Kn,n的定向图，则存在非负整数s和t满足方程s+t=2n和as+bt=n2。进一步，对于满足特定条件的非负整数a，b和n，存在K_n,n的定向图使得每个顶点的入度非a即b。     

多体量子系统密度矩阵的表示

利用特殊酉群SU(3)的典型生成元及其性质构造矩阵空间M_R(C)的一组Hamel基, 并给出其线性无关性的证明; 利用特殊酉群SU(R)的典型生成元构造矩阵空间M_R1R2…_Rn(C)的两组Hamel基, 并在这两组基底下描述了多体量子系统密度矩阵的表示.     

基于三剪统一强度准则的厚壁圆筒极限承压分析

基于三剪统一强度准则分析了长厚壁圆筒的极限承压问题,得到了一个新的统一解形式,以往基于Mohr-Coulomb强度准则、Tresca屈服准则和Von Mises屈服准则的解均为其特例.分析表明,厚壁圆筒材料的拉压屈服极限比a和强度准则的中间主应力效应参数对其承压极限均有影响.弹性极限内压和塑性极限内压均随b增大而增大,随a增大而减小;弹性极限外压和塑性极限外压则与之相反.     

完全二部图K_(6,n)(6≤n≤38)的点可区别E-全染色

考虑完全二部图K_(6,n)(6≤n≤38)的点可区别E-全染色.利用组合分析法、反证法及构造染色的方法,给出一类特殊完全二部图的点可区别E-全染色.结果表明:当6≤n≤10时,K_(6,n)的点可区别E-全色数为5;当11≤n≤38时,K_(6,n)的点可区别E-全色数为6.     

若干字典积图的Mycielski图的点可区别边染色

研究了一些特殊图的字典积的点可区别边染色,如轮(或扇,星)与完全图的字典积,轮(或扇,星)与完全二部图的字典积等。利用构造边染色的方法,得到了这些字典积图的Mycielski图的点可区别边色数。     

几类整谱图

研究二部半正则图的补图、二部补图的特征多项式公式，给出几个特殊图类的谱，得到几类整谱图的充要条件及一些新的整谱图类。     

旋转体弹塑性统一解

采用双剪统一屈服准则对旋转圆盘、旋转圆柱体进行弹塑性分析，已有的Ｔｒｅｓｃａ准则、Ｍｉｓｅｓ准则、双剪应力准则的解答是文中解答的特例或可以用文中解逼近，庐解答可适合于多种材料和结构，从得出的解析解和图示表明，正确认识材料强度并合理选择屈服准则对结核设计有重要的意义。     

等效于奈奎斯特第二准则的传输函数及构造

讨论了满足奈奎斯特第二准则传输函数的等效形式及其构造。首先将依降的概念引入到等效传输函数中，继而论证了依降函数应满足的条件。最后构造了满足奈奎斯特第二准则的等效传输函数。实践表明，该传输函数易于实现且具有良好的时频域特性。     

带外扰的不连续系统关于部分变元的实用稳定性

研究不连续系统在外扰作用下,部分变元的实用稳定性问题,给出了主要的判别准则,这些准则对于全部变元亦适用,因而有关全部变元的结果为本文的特别。